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Content Repositories :: Start-Page
Repository of Lecture Notes (All Areas) :: Top-Page
Classical Mechanics :: Lecture Notes == Home-Page
LECS/CM-Mod01 Topics in Newtonian Mechanics
LECS/CM-Mod02 Lagrangian Formalism
\(\S 2.1\) Lagrangian Form of Equations of Motion
\(\S 2.2\) Conservation of Energy
\(\S 2.3\) Cyclic Coordinates and Integration of Equations of Motion
LECS/CM-Mod03 Action Principle
\(\S 3.1\) Hamilton's Principle
\(\S 3.2\) Symmetries and Conservation Laws --- Noether's Theorem
\(\S 3.3\) Conservation of Energy
\(\S 3.4\) Noether Theorem Examples
LECS/CM-Mod04 Hamiltonian Form of Dyanmics
\(\S 4.1\) Hamiltonian Equations of Motion
\(\S 4.2\) Poisson Brackets
LECS/CM-Mod05 Spherically Symmetric Potentials
\(\S5.1\) Reducion of Two Body Problem to One Body
\(\S 5.2\)General Properties of Motion
\(\S 5.3\) Differential Equation of the Orbit; Kepler Problem
LECS/CM-Mod06 Scattering
\(\S 6.1\) Basic Definitions
\(\S 6.2\) Scattering of Waves
\(\S 6.3\) Total Cross Section
\(\S 6.4\) Computing Cross Section
\(\S 6.5\) Center of Mass and Laboratory Frames
LECS/CM-Mod07 Small Oscillations
\(\S 7.1\) Small Oscillations in One Dimension
\(\S 7.2\) Small Oscillations
\(\S 7.3\) Some Experiments on Small Oscillations
\(\S 7.4\) Lagrangian Formualtion of Small Oscillations
\(\S 7.5\) A Model of Vibrating Crystals
LECS/CM-Mod08 Galilean Transformations, Non Inertial Frames
\(\S 8.1\) Rotations about Coordinate Axes
LECS/CM-Mod09 Rigid Body Dynamics
LECS/CM-Mod10 Canonical Transformations
LEC/CM-10001 Canonical Transformations
LEC/CM-10002
LEC/CM-10003
LEC/CM-10004
LECS/CM-Mod11 Hamilton Jacobi Theory
LEC/CM-Mod11001 :: Hamilton's Principal Function
LEC/CM-Mod11002 :: Jacobi's Complete Integral
LEC/CM-Mod11003 :: Action Angle Variables
Mathematical Physics :: Lecture Notes == Home-Page
LEC/MM-Sub01 Topics in Set Theory
LEC/SetTheory-Mod01 Set Preliminaries
LEC/SetTheory-Mod02 Algebra Of Sets
LEC/SetTheory-Mod03 Functions
LEC/SetTheory-Mod04 Cartesian Products
LEC/SetTheory-Mod05 Countable and Uncountable Sets
LEC/SetTheory-Mod06 Binary Operation
LEC/SetTheory-Mod07 The Real Number System
LEC/MM--Sub02 A Quick Review of Matrices
LEC-MM-Sub03 Vector Spaces
LECS/VS-Mod01 Groups, Fields, Vector Spaces, Subspace
LECS/VS-Mod02 Linear Independence and Basis
LECS/VS-03 Linear Functional
LECS/VS-04 New Spaces from Old Spaces
LECS?VS-05 Linear Operators
LECS/VS-06 Matrix Representation
LECS/VS-08 Vector Spaces with Inner Product
LECS/VS-09 Orthogonality
LECS/VS-10 Operators in Inner Product Spaces
LECS/VS-11 Representation in o.n. Basis
LEC/MM-Sub04 Theory of Finite Groups
LECS/GT-01 Group and Subgroup
LECS/GT-02 Group Multiplication Table, Cosets
LECS/GT-03 Factor and Quotient Group
LECS/GT-04 Group of Permutations
LECS/GT-05 Representations-I
LECS/GT-06 Representations -II
LECS/GT-07 Irreducible Representations
LECS/GT-08 First Orthogonality Theorem
LECS/GT-09 Group Characters
LECS/GT-10 Second Orthogonality Theorem
LEC/MM-Sub06 Ordinary Differential Equations
ODE Special Purpose Packs
ODE Method of Series Solution
LEC/MM-Sub07 Partial Differential Equations
LECS/PDE-Mod01 Separation of Variables
LECS/PDE-Mod02 Boundary Value Problem in One Dimension
LECS/PDE-Mod03 Rectangular Boundary
LECS/PDE-Mod04 Boundary Value Problem for a Circular Domain
LECS/PDE-Mod05 Solution Requiring Use of Fourier Transform
LECS/PDE-Mod6 An Example Requiring Expansion in Legendre Polynomials
LECS/MM-Sub10 Real Number System
Quantum Mechanics :: Lecture Notes == Home Page
LEC/QM-Mod01 Classical Theories Revisited
\(\S1.1\) An Overview of Classical Concepts
\(\S1.2\) Structure and Formulations of Physical Theories
\(\S1.3\) Inadequacies of Classical Theories
Concepts that Changed from Classical to Quantum Theory
LEC/QM-Mod02 A Quick Review of Vector Spaces
\(\S 2.1\) Basic Definitions
\(\S 2.2\) Linear functionals and operators
\(\S 2.3\) Matrix Representations of Operators
LEC/QM-Mod03 Inner Product Spaces
\(\S 3.1\) Vector Space with Inner Product
\(\S 3.2\) Linear Operators in Inner Product Spaces
\(\S 3.3\) Complete Orthonormal Sets
LEC/QM-Mod04 Hilbert Spaces
LEC/QM-Mod05 Rise of Quantum Mechanics
\(\S\)5.1 :: Advent of Quantum Theory
\(\S\) 5.2 :: Consequences of wave particle duality
\(\S\) 5.3 :: Thought experiments for uncertainty principle
\(\S\) 5.4 :: Wave particle duality and superposition of states
\(\S\) 5.5 :: Postulates of quantum mechanics
\(\S\) 5.6 :: New concepts brought in by quantum theory
\(\S\) 5.7 :: Early successes of quantum theory
LEC/QM-Mod06 General Structure of Quantum Mechanics
\(\S\) 6.1 General Structure of Quantum Mechanics
\(\S\) 6.2 Postulates of Quantum Mechanics
Problem/QM-06029
\(\S\)6.3 Applying Postulates to Calculate Probability and Average Values
\(\S\) 6.4 Compatible Observables
LEC/QM-Mod07 Canonical Quantisation
\(\S 7.1\) Canonical Quantization
\(\S 7.2\) Generalized Uncertainty Relation
LEC/QM-Mod08 Applications of Canonical Commutation Relations
\(\S 8.1\) Harmonic Oscillator Energy Eigenvalues
\(\S 8.2\) Angular Momentum Eigenvalues and Eigenvectors
LEC/QM-Mod09 Time Evolution in Quantum Mechanics
\(\S 9.1\) Schrodinger Picture of Time Evolution
\(\S 9.2\) Time Evolution of Quantum Systems
\(\S 9.3\) Perturbation Expansion of S-Matrix in Interaction Picture
LEC/QM-Mod10 Coordinate and Momentum Representations
\(\S 10.1\) Introduction to Representations
\(\S 10.2\) Coordinate and Momentum Representation
\(\S 10.3\) Change of Representation
LEC/QM-Mod11 Schrodinger Equation in Coordinate Representation
\(\S 11.1\) Conservation of Probabilty
\(\S 11.2\) Schrodinger equation for a charged particle
\(\S 11.3\) Time reversal symmetry
\(\S 11.4\) Solution of time dependent Schrodinger equation
LEC/QM-Mod12 Free Particle in One Dimension
\(\S 12.1\) Solution of Free Particle Equation
\(\S 12.2\) Motion of Free Particle Wave Packet
LEC/QM-Mod13 Potential Problems in One Dimension
\(\S 13.1\) General Considerations on Poetntial Problems
\(\S 13.2\) Particle in a Box and Square Well
\(\S13.3\) Dirac Delta Function Potential
\(\S 13.4\) Harmonic Oscillator Energy Levels
\(\S 13.5\) Reflection and Transmission from a Potential
\(\S 13.6\) General Properties of Motion in One Dimension
LEC/QM-Mod14 Problems in Higher Dimensions
\(\S 14.1\) Particle in Three Dimensional Box
\(\S 14.2\) Harmonic Oscillator in Three Dimensions
LEC/QM-Mod15 Methods of Exact Solution
LEC/QM-Mod16 Spherically Symmetric Potential Problems
\(\S16.1\) General Properties of Spherically Symmetric Potential Problems
\(\S 16.2\) Angular Momentum in Coordinate Representation
\(\S 16.3\) Solving Radial Equation
\(\S 16.4\) Hydrogen atom Energy Levels
LEC/QM-Mod17 Addition of Angular Momenta
\(\S 17.1\) Statement of the Problem
\(\S 17.2\) Main Results on Addition of Angular Momenta
\(\S 17.3\) Examples of Constructing \(\vert JM \rangle \) States
LEC/QM-Mod18 Integral Equation, Born Approximation
\(\S 18.1\) Continuous Energy Solutions
\(\S 18.2\) Setting up Integral Equation
\(\S 18.3\) Perturbative Solution and Born Approximation
\(\S18.4\) Electron Scattering by Atoms
LEC/QM-Mod19 Partial Wave Analysis
\(\S 19.1\) Partial Wave Expansion of Plane Waves
\(\S 19.2\) Asymptotics of Radial Wave Function
\(\S 19.3\) Partial Wave Exapansion and Phase Shift
\(\S 19.4\) Phase Shifts for a Square Well
LEC/QM-Mod20 Spin and Identical Particles
\(\S 20.1\) Spin as a Dynamical Variable
\(\S 20.2\) Identical Particles
\(\S 20.3\) A First Look at Helium Atom Energy Levels
LEC/QM-Mod21 Rayleigh Ritz Variation Method
LEC/QM-Mod22* Wentzel Kramers Brillouin Approximation
LEC/QM-Mod23 Time Independent Perturbation Theory
\(\S\) 23.1 Non degenerate perturbation theory
\(\S\) 23.2 Perturbation theory for degenerate case
\(\S\) 23.3 Application to fine structure of hydrogen atom
LEC/QM-Mod24 Approximation Schemes for Time Dependent Problems
\(\S\) 24.1 Perturbation Scheme for Time Dependent Problems
\(\S\) 24.2 Transition to Continuum --- Fermi Golden Rule
\(\S\) 24.3 Resonance Transitions
Mod/QM-Mod25 Semi Classical Theory of Radiation
\(\S\) 25.1 Electromagnetic Waves in Vacuum
\(\S\) 25.2 Approximating Matter Radiation Interaction
\(\S\) 25.3 Perturbative Treatment of Absorption and Emission
LEC/QM-Mod33 Non-Relativisic Limit of Position Operators in Quantum Mechanics
Statistical Mechanics :: Lecture Notes == Home Page
LEC/SM-Mod04 Thermodynamic Potentials
LEC/-SM-Mod05 Grand Canonical Partition Function
LEC/-SM-Mod05 Thermodynamic Functions in Terms of Grand Canonical Partition Function
Electromagnetic Theory :: Lecture Notes == Home-Page
LEC/EM-Mod02 The ELectric Field and Gauss Law
em-lec-02001
em-lec-02002 Line Surface and Volume Charge Distribution
em-lec-02003 Computing Electric Field
LEC/EM-Mod03 Electric Potential and Electrostatic Energy
em-lec-03001 Electric Potential of a Charge Distribution
em-lec-03002 Electriostatic Energy of a Charge Distribution
em-lec-03003 Maxwell's Equations and Coulomb's Law
LEC/EM-Mod04 :: Conductors in Static Electric Fields
LEC/EM-Mod05 Electrostatics of Dielectric Media
LEC/EM-12 EM Theory and Special Relativity
\(\S\)12.1 :: Relativistic Transformations of Fields
\(\S\) Lectures-EM-12 Potentials as Four Vectors
\(\S\) 12 Maxwell's Equations in Relativistic Notation
LEC/EM-Mod13 :: Electric and Magentic Fields of Time Varying Charge and Current Densities
em-lec-13001 Green's function for Helmholtz equation and wave equation
em-lec-13002 Leinard Weichert Potentials due to a Moving Point Charge
\(\S\) Lectures/EM-13003 Potentials of Point Charge Moving with Uniform Velocity
\(\S\) Lectures/EM-13004 Fields of a Moving Charge
Quantum Field Theory :: Lecture Notes == Home-Page
\(\S\) QFT-01 Functional Derivative
\(\S\)-QFT-01 Action Functional for Classical Fields
Lectures-QFT-01 Hamiltonian Formulation of Classical Fields
LEC/QFT-Mod04 :: Second Quantization
\(\S\)-QFT-04 Second Quantization of Schrodinger Equation
\(\S\)-QFT-04 Physical Interpretation
More Lecture Notes Coming Up
Repository of Questions, Problems (All Areas) :: Top-Page
Classical Mechanics == Home-Page == Repository of Questions and Problems
CM-01:: Selected Problems in Newtonian Mechanics
Problem-CM-01001; Periodic Motion in One Dimension
Problem-CM-01002 Periodic Motion
Problem-CM-01003 Periodic Motion
Problem-CM-01004 Periodic Motion
Problem-CM-01004
Problem-CM-01005 Periodic Motion
Problem-CM-01005
Problem-CM-01006 Periodic Motion
Problem-CM-01006
Problem-CM-01007
Problem-CM-01007 Periodic Motion
Problem-CM-01008
Problem-CM-01008 Periodic Motion
Problem-CM-01009
Problem-CM-01009 Periodic Motion
Problem-CM-01010
Problem-CM-01011
Problem-CM-01011 Periodic Motion
Problem-CM-01012
Problem-CM-01012 Periodic Motion
Problem-CM-01013 Variable Mass Problems
Problem-CM-01014
Problem-CM-01016
Problem-CM-01017
Problem-CM-01018
Problem-CM-01019
Problem-CM-01020
Problem-CM-01022
Problem-CM-01024
Problem-CM-01027
Problem-CM-01029
CM-02 :: Euler Lagrange Equations of Motion
Problem-CM-02001
Problem-CM-02002
Problem-CM-02003
Problem-CM-02004
Problem-CM-02005
Problem-CM-02006
Problem-CM-02008
Problem-CM-02013
Problem-CM-02023 Generalized potential for a charged particle in EM fields
CM-03 :: Action Principle
Problem-CM-03001
Problem-CM-03001 Action for harmonic oscillator
Problem-CM-03002
Problem-CM-03003
Problem-CM-03004 :: Symmetry Transformation and Runge Lenz Vector
Problem-CM-03005
Problem-CM-03006
Problem-CM-03007
Problem-CM-03008
Problem-CM-03009
Problem-CM-03010
Problem-CM-03011
Problem-CM-03012
CM-04 :: Hamiltonian Formulation
Problem-CM-04001
Problem/CM-04002
Problem/CM-04004
Problem/CM-04005
Problem/CM-04006
Problem/CM-04007
Problem/CM-04008
Problem/CM-04009
Problem/CM-04010
Problem/CM04011
Problem/CM-04012
Problem/CM-04013
Problem/CM-04014
Problem/CM-04015
Problem/CM-04016
Problem/CM-04017
Problem/CM-04018
Problem/CM-04019
Problem/CM-04020
CM-05 :: Spherically Symmetric Potentials
Problem/CM-05001
Problem/CM-05002
Problem/CM-05003
Problem/CM-05004
Problem/CM-05005
Problem/CM-05006
Problem/CM-05008
Problem/CM-05009
Problem/CM-05010
Problem/CM-05011
Problem/CM-05012
Problem/CM-05013
Problem/CM-05014
Problem/CM-05015
Problem/CM-05016
Problem/CM-05017
CM-06 :: Scattering from a Spherically Symmetric Potentials
Problem/CM-06001
Problem/CM-06002
Problem/CM-06003
Problem/CM-06004
Problem/CM-06005
Problem/CM-06006
Problem/CM-06007
Problem/CM-06008
CM-07 :: S:mall Oscillations
Problem-CM-07001
Problem-CM-07002
Problem-CM-07003
Problem-CM-07004
Problem-CM-07005
Problem-CM-07006
Problem-CM-07007
Problem-CM-07008
Problem-CM-07009 A problem in two dimensions
Problem-CM-07010 Small Ocillations and He molecule
Problem-CM-07011 Small Oscillations of Oxygen Molecule
CM-08 :: Motion in Non-Inertial Frames
Problem-CM-08001
Problem-CM-08002
Problem-CM-08003
Problem-CM-08004
CM-09 Rigid BodyDynamics
Problem-CM-09001
Problem-CM-01010 Periodic Motion
CM-10 Canonical Transformations
Problem-CM-10001 Canonical Transformations
Problem/CM-10002
Problem/CM-10003
Problem/CM-10004
Problem/CM-10005
Problem/CM-10006
Problem/CM-10007
Problem/CM-10008
Problem/CM-10009
Problem/CM-10010
Electromagnetic Theory == Home-Page == Repository of Questions Problems
EM-01 :: Motion of Charged Particles in ELectric and Magnetic Fields
Problem/EM-01001
Problem-EM-01002
Problem-EM-01003
Problem-EM-01004
Problem-EM-01005
Problem-EM-01007-X
EM-02 :: Electrostatics
Problem-EM-02002
Problem-EM-02003
Problem-EM-02005
Problem-EM-02005
Problem-EM-02011
Problem-EM-02020
Problem-EM-02021 Calculating Flux
QUIZ/EM-02001 Gauss Law
QUIZ/EM-02002 Superposition Principle
QUIZ/EM-02003 Superposition Principle
Problem-EM-02006-X
EM-03 :: Electric Potential and Electrostatic Energy
Problem-EM-03034
Problem-EM-03035
Problem-EM-03036
Problem-EM-03037
EM-04 :: Conductors in Static Electric Fields and Boundary Value Problems
Problem-EM-04001
Problem.-EM-04002 Energy of two spherical conductors with different charges.
Problem-EM-04003
Problem-EM-04004
Problem-EM-04005
EM-04 :: Boundary Value Problems
Problem-EM-04011
Problem-EM-04012
Problem-EM-04013
Problem-EM-04014
Problem-EM-04015
Question-EM-04016
Question-EM-04017
Question-EM-04018
Problem-EM-04001-X
EM-05 :: Electrostatics in Presence of Dielectric Media
Problem-EM-05001 Polarizability of two charges bound by a spring
Problem-EM-05002 Parallel plate capacitor partially filled with dielectric slab
Problem-EM-05003/Point charge and a dielectric plate
Problem-EM-05004
Problem-EM-05005
Problem-EM-05006
Quantum Mechanics == Home Page == Repository of Questions and Problems
QM-02-04 Vetor Spaces
Problem/QM-02 002
Problem/QM-02001
Problem/QM-02003
QM-05 :: RIse of Quantum Theory
\(\ddagger\) Problem-QM-05001 Uncertanty principle
\(\maltese\) Problem-QM-05031 Temperature for Fusion Process in the Sun
QM-06 :: General Principles of Quantum Mechanics
Problem-QM-06 --- Average value
Problem-QM-06002 --- Allowed outcomes of measurement
Problem-QM-06002 Average value
Problem-QM-06003 --- Average value
Problem-QM-06004
Problem-QM-06005
Problem-QM-06006
Problem-QM-06007
Problem-QM-06008
Problem/QM-06009
Question-QM-06001 ---- Commuting Set of Operators
Question-QM-06003 --- Computing probability
Problem-QM-06010
Problem-QM-06011
Problem-QM-06012
Problem-QM-06013
Problem-QM-06014
Problem-QM-06017
Problem-QM-06018
Problem-QM-06019
Problem/QM-06015
Problem/QM-06016
Problem-QM-06020
Problem-QM-06021
Problem-QM-06022
Problem-QM-06023
Problem-QM-06024
Problem-QM-06025
Problem/QM-06028
Problem-QM-06108
QM-07 Canonical Quantization
Problem/QM-07001
Problem/QM-07002
Problem/QM/07003
Problem/QM-07004
Problem/QM/07005
Problem/QM-07006
Problem/QM-07007
Problem/QM-07008
Problem/QM-07009
Problem/QM-07010
Problem/QM.-07011
Problem/QM-07012
Problem/QM-07013
Problem/QM-07014
Problem/QM-07015
QM-08 :: Using raising and lowering operators
Problem/QM-08001
Problem/QM-08001
Problem/QM-08002
Problem/QM-08003
Problem/QM-08004
Problem/QM-08005
Problem/QM-08006
Problem/QM-08007
Problem/QM-08008
Problem/QM-08009
Problem/QM-08010
Problem/QM-08011
Problem/QM-08012
Problem/QM-08013
Problem/QM-08014
Problem/QM-08015
QM-09 :: Time Development and Pictures in Quantum Mechanics
Problem/QM-09001
Problem/QM-09002
Problem/QM-09003
Problem/QM-09004
Problem/QM-09006
Problem/QM-09007
Problem/QM-09008
Problem/QM-09009
Problem/QM-09010
Problem/QM-09011
Questions/QM-09001
Questions/QM-09002
QM-10 :: Working with representations
Problem/QM-10001
Problem/QM-10002
PROBLEM/QM/10003
PROBLEM/QM-10004
PROBLEM/QM-10006
PROBLEM/QM-10007
PROBLEM/QM-10008
PROBLEM/QM-10011
ROBLEM/QM-10012
PROBLEM/QM-10013
PROBLEM/QM-10005
PROBLEM/QM-10010
QM-11 Time Dependent Schrodinger Equation
QM-12 :: Standard Applications of General Formalism
Problem/QM-12004
QM-13 :: Potential Problems in One Dimension
Problem/QM-13001
Problem/QM-13002
QM-14-15 :: Problems in Two and Three Dimensions
QM-16 Spherically :: Symmetric Potentials
Problem/QM-16001
Problem/QM-16002
Problem/QM-16003
Problem/QM-16004
Problem/QM-16004
Problem/QM-16005
Problem/QM-16006
Problem/QM-16007
Problem/QM-16008
Problem/QM-16009
Problem/QM-16010
Problem/QM-16011
QM-20 :: Spin and Identical Particles
Problem/QM-20001
Problem/QM-20002
Problem/QM-20003
Problem/QM-20004
Problem/QM-20005
Problem/QM-20007
Problem/QM-20008
Problem/QM-20009
Problem/QM-20010
Problem/QM-20011
Problem/QM-20012
Problem/QM-20013
Problem/QM-20014
Problem/QM-20015
Problem/QM-20016
Problem/QM-20017
Problem/QM-20018
Problem/QM-20019
Problem/QM-20020
QM-21--23 :: Approximation Methods for Time Independent Problems
Problem/QM-21001
Problem/QM-23001
Problem/QM-23002
Problem/QM-23003
Problem/QM-23004
Problem/QM-23005
Problem/QM-23006
Problem/QM-23007
Problem/QM-23008
Problem/QM-23009
Problem/QM-23010
Problem/QM-23011 Time Independent Perturbation Theory
Problem/QM-23012
Problem/QM-23013
Problem/QM-23014
Problem/QM-23015
Problem/QM-23016
Problem/QM-23017
Problem/QM-23018
Problem/QM-23019
QM-24 Approximation Schemes for Time Dependent Problems
Problem/QM-24001
Problem/QM-24002
Problem/QM-24003
Problem/QM-24004
Problem/QM-24005
Problem/QM-24006
Problem/QM-24007
Problem/QM-24008
Statistical Mechanics == Home-Page == Repository of Questions and Problems
Problem/SM-03001
Problem/SM-03002
Problem/SM-03003
Problem/SM-03004
Problem/SM-03005
Problem/SM-03006
Problem-SM-04001
Quantum Field Theory == Home-Page == Repository of Questions and Problems
Problem/QFT-05001
Problem/QFT-05002
Problem/QFT-05003
Problem/QFT-05004
Problem/QFT-05005
Problem/QFT-06001
Problem/QFT-06002
Problem/QFT-06003
Problem/QFT-06005
Problem/QFT-10001
Problem/QFT-13001
Problem/QFT-14001
Problem/QFT-14002
Problem/QFT-15001
Problem/QFT-15002
Problem/QFT-15003
Problem/QFT-15004
Problem/QFT-15005
Problem/QFT-15006
Problem/QFT-15007
Problem/QFT-15008
Problem/QFT-15009
Problem/QFT-15010
Question/QFT-15005
Thermodynamics == Home Page == Repository of Questions and Problems
Problem-TH-03001 Work done; van der Waals gas
Problem-TH-04001 Fiirst Law Relation between \(C_p, C_v\).
Problem-TH-04002
Coming Up More Sessions of Short Questions and Problems
Particle Physics == Home Page == Repository of Problems and Questions
Problem-EPP-01001
Problem-EPP-01002
Problem-EPP-01003
Problem-EPP-01004
Problem-EPP-01005
Problem-EPP-01006
Problem-EPP-01007
Problem-EPP-01008
Problem-EPP-01009
Problem-EPP-01010
Problem-EPP-01011
Problem-EPP-01012
Problem-EPP-01013
Problem-EPP-01014
Problem-EPP-01015
Problem-EPP-01016
Problem-EPP-01027
Problem-EPP-01017
Problem-EPP-01018
Problem-EPP-01019
Problem-EPP-01020
Problem-EPP-01021
Problem-EPP-01022
Problem-EPP-01023
Problem-EPP-01024
Problem-EPP-01025
Problem-EPP-01026
Problem-EPP-01027
Problem-EPP-01028
Problem-EPP-01029
Problem-EPP-01030
Problem-EPP-01031
Problem-EPP-01031
Problem-EPP-01032
A list ofcomplete reference to sources of questions and problems
Repository of Short-Examples and Solved-Problems (All Areas) :: Top-Page
Mathematical Physics :: Short Examples and Solved Problems
MM-02 :: Matrices Problem Sets
Matrices-02 Matrices Problem Sets
Matrices :: 150 Matrix Sets to Diagonalize
MM-03 :: Vector Spaces Problem Sets
VS-02 Linear Independence and Basis (Question bank)
VS-02 Linear Functionals and Linear Operators (Question Bank)
MM-04 :: Group Theory Solved Problems
GT-02 Solved Problem -2
GT-02 Solved Problem-3
GT-06 Solved Problem
MM-05 Complex Variables
Solved/CV-07001 Contour Integration
MM-06 :: ODE Solved Examples
ODE Solved Example-1
ODE Solved Example-2
ODE Solved Example-3
ODE Solved Example-4
ODE Solved Example-5
ODE Solved Example-6
ODE Solved Example-7
ODE Solved Example-8
ODE Solved Example-9
ODE Solved Example-10
ODE Solved Example-11
MM-07 :: PDE Solved Problems
PDE Solved Problem 01001
PDE Solved Problem 01002
PDE Solved Problem 01003
PDE Solved Problem 01004
MM-09 :: Green Function for Poisson equation in $n>2$ dimensions
Classical Mechanics
SolvedExample/CM/04001
SolvedExample/CM/07001
SolvedExample/CM/08001 :: Sideways deflection of a falling body
SolvedExample/CM/08002 :: How good is the earth as an inertial frame
Electromagnetic Theory :: Short Examples and Solved Problems
Solved-EM-02001
Solved-EM-02001 Two unifromaly charged overlapping spheres
Solved-EM-02002
Solved-EM-03001 Electric Potential due to Uniform Charge on Surface of a Cone
Solved-EM-03
Solved-EM-04001 A conducting grounded sphere and a point charge
Solved-EM-04002 Two charged spherical shells separated by large distance
Solved-EM-04003 Charged sphere and a point charge
Solved-EM-04004 A point charge and an insulated conducting sphere at potential \(\phi_0\)
Problem-EM-05002
Problem-EM-05004
Solved-EM-05001
More Short Examples and Solved Problems under Preparation
SOB-EM-07001
Solved-EM-07001
Links for Solutions to Dielcetric Problems
Solved-EM-06001
Quantum Mechanics - Examples and More
QM-01 :: Review of Classical Theories
QM-02 :: Fundamental Concepts in Vector Spaces
QM-03 :: Inner Product Spaces
QM-04 :: Hilbert Spaces
QM-05 :: Rise of Quantum Mechanics
\(\maltese\) Solved Problem/QM-05031-SOL
QM-07 :: Canonical Quantisation
ShortExamples/QM :: 06 :: General Principles of Quantum Mechanics
ShortExamples/QM-06 001 --- States of a system
ShortExamples/QM-06002 --- Probability and Average Values
SolvedProblem/QM-06003 ---- Probability and Average Values
Quiz/QM-06001 ---
QM-08 :: Commutation Relations, Ladder Operators
Examples/QM-09001 :: Solution of Time Dependent Schrodinger Equation
QM-09 :: Time Development
SolvedProblem/QM-09001 Time Development
QM-10 :: Coordinate and Momentum Representations
QM-11 :: Schrodinger Equation in Coordinate Representation
QM-12 :: Free Particle
SolvedProblem/QM-12001
QM-13 :: Potential Problems in One Dimension
QM-14 :: Problems in Higher Dimensions
QM-15 :: Methods of Exact Solution
QM-16 :: Spherically Symmetric Potential Problems
SolvedProblem/QM-20002
SolvedProblem/QM-20003
QM-17 :: Addition of angular momenta
SolvedProblem/QM-17001
SolvedProblem/QM-17002
SolvedProblem/QM-17003
QM-18 :: Quantum Theory of Scattering - Born Approximation
QM-19 :: Quantum Theory of Scattering - Partial Wave Analysis
SolvedProblem/QM-19001
SolvedProblem/QM-19002
QM-20 Spin and Identical Particles
SolvedProblemQM-20004
SolvedProblem/QM-20001
SolvedProblem/QM-20002
SolvedProblem/QM-20003
QM-21 :: Rayleigh Ritz Variation Method
QM-22 :: Wentzel Kramers Brillouin Approximation
Quantum Field Theory - Solved Problems
SolvedProblem/QFT-15001
SolvedProblem/QFT-15002
Thermodynamics Short Examples and Solved Problems
Examples and Solved Problems :: Elementary Particle Physics
Solved-EPP-01001 Changing Units from SI units to Natural Units
Solved-EPP-01002 Changing Units from SI to Natural Units
Repository of Problem and Solution Sets (All Areas) :: Top-Page
PaSS-1 :: Problem and Solution Sets
CM-07001 :: WorkSheet Small Oscillations
PaSS-2 :: Problem and Solution Sets
CV- 07005 :: Tutorial Fully Solved
CV-07001 :: Tutorials Contour Integration Techniques for Improper Integrals
Complex Variables
Pass02 :: Classical Mechanics
Pass02 :: ElectroMagnetic Theory
Mined/EM-04001 :: Point Charge inside a conduction shell
Pass02 :: Quantum Mechanics
QUIZ/QM-06001 :: Postulates of Quantum Mechanics
QUIZ/QM-06002 :: Postulates of Quantum Mechanics
QUIZ/QM-06003 :: About State Vectors
QUIZ/QM-06004 :: Superposition of several eigenstates
QUIZ/QM-06005 :: What is complete description of state vector?
QUIZ/QM-12001 :: Free Particle
QUIZ/QM-20002 Symmetrization Postulate
QUIZ/QM-20006 :: Complete Specification of Spin State
PaSS02 :: Statistical Mechanics
PasSS02 :: Quantum Field Theory
PaSS02 :: Thermodynamics
PaSS-3 :: Problem and Solution Sets
PaSS-3: IIT Kanpur QM Assignments for Ph.D course, Phys-611, (1967)
QM-08001 :: FlowChart Using Ladder Operators
QM-13001 Car on a Ramp
QM-18001 :: Quiz Scattering in two dimensions
QM-20004 :: Quiz Symmetrization Postulate for Identical Particles
Newtonian Mechanics
PaSS-9 :: Assorted, Unclassfied Problem and Solution Sets
Problem Sessions in Quantum Mechanics
QM Problem Sessions \(\S\S\) 05 Rise of Quantum Mechanics
QM Problem Session 0501 Applications of Uncertainty Principle
QM Problem Sessions \(\S\S\) 06 Postulates of Quantum Mechanics
QM Problem Session 0602 When is uncertainty zero?
QM Problem Session- 0601 States and Dynamical Variables
QM Problem Session 0603 How many state vectors for a given state?
QM Problem Sessions \(\S\S\) 08 Applications of Canonical Commutation Relations
QM-Problem Session 0801 Ladder Operators
QM Probelm Sessions \(\S\S\) 10 Coordinate and Momentum Representations
Computing Average value
Coordinate and momentum representation
Ladder operators in \(x\)-representation
QM Problem Sessions \(\S\S\) 13 Potential Problems in One Dimension
Nature of energy spectrum
Piecewise continuous potentials
Reflection and transmission
QM Problem Sessions \(\S\S\) 17 Angular Momentum in Quantum Mechanics
QM Problem Session 1701 Addition of angular momenta
QM Problem Sessions \(\S\S\) 18 Quantum Theory of Scattering - Born Approximation
QM-Exercise-18 Born approximation
QM-Exercise-18 Integral equation
QM-Problem Sessions \(\S\S\) 20 Spin and Identical Particles
QM-20 Spin and Identical Particles Problem Set-1)
QM-20 Spin and Identical Particles (Problem Set-2)
QM-20 Spin and Identical Particles (Problem Set-3)
QM-20 Spin and Identical Particles (Problem Set-4)
QM-20 Spin and Identical Particles (Problem Set -5)
QM-20 Spin and Identical Particles (Problem Set -6)
QM-20 Spin and Identical Particles (Problem Set -7)
QM Problem Sessions \(\S\S\) 21 Rayleigh Ritz Variation Method
QM-Question Bank-21 Rayleigh Ritz Variation Method
QM Problem Sessions \(\S\S\) 22 Wentzel Kramers Brillouin Approximation
Barrier penetration (Solved example)
Bound state energies (Exercise)
WKB is exact for Harmonic oscillator (Example)
QM Problem Sessions \(\S\S\) 23 Time Independent Perturbationn Theory
23.1 Non degenerate case
23.2 Degenerate case(Lecture Notes)
23.3 More
New Repository of Facts to be Remembered (All Areas) :: Top-Page
Facts to be Remembered :: EM-Theory
REMIT/EM-04001 Properties of Conductors
REMIT/EM-09001 What is true in statics is false in dynamics?
Facts to be Remembered :: Quantum Mechanics
PTR/QM-Mod06
qm-ptr-06001 --- States of a quantum system
qm-ptr-06002 --- Dynamical Variables as hemitian operators
qm-ptr-06003 --- Probabilty and average value
\(\S 6.5\) Center of Mass and Laboratory Frames
For page specific messages
For page specific messages
Basic Definitions
Scattering of Waves
Total Cross Section
Computing Cross Section
Centre of Mass and Laboratory Frames
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