Welcome Guest!

# Documents

For page specific messages
For page author info
22 records found.
Operations
Title Author Updated

### Proofs Diamond Point

THE AVAILABLE RESOURCES ARE BEING REORGANIZED
All links may not be available at this time

CHOOSE A SUBJECT AREA

Mathematical Physics Resources

• Complex Variables-Home
• Finite Dimensional Vector Spaces-Home
• Group Theory-Home
• Matrices-Home
• Ordinary Differential Equations-Home
• Partial Differential Equations-Home
• Orthogonal Polynomials-Home
• Fourier Series, Fourier Transform-Home
• Set Theory-Home

Physics Resources

21-09-27 11:09:42

### Definitions to Remember  [DEF]

Coming in due course

### Theorems and other results to Remember [THM]

Coming in due course

### Module Summary [SUM]

Coming in due course

### Black Boxes [BBQ] and Anti Black Boxes [ABB]

Coming in due course

### Notes and References [NTR]

Coming in due course

21-09-24 09:09:21

### QM-22 Wentzel Kramers Brillouin Approximation

21-09-18 02:09:45

### QFT01/LEC01 Classical Fields --- Analytical Dynamics --- Symmetries

MINI TABLE OF CONTENT

EXIT     QFT-HOME

21-09-14 18:09:55

### Lessons

• LESSONS/QFT01 :: Classical Fields
• LESSONS/QFT02 :: Interaction Picture; Fermi golden rule,S matrix; Examples from Quantum Mechanics.
•  LESSONS/QFT03 :: The Inhomogeneous Lorentz Group
•  LESSONS/QFT04 :: Second Quantization of Schrodinger Field
•  LESSONS/QFT05 :: Klein Gordon Field
• LESSONS/QFT06 :: Dirac equation
•  LESSONS/QFT07 :: Electromagnetic Field
•  LESSONS/QFT08 :: SU(2) group and Yang Mills Field
•  LESSONS/QFT09 :: Interaction Hamiltonian,Lorentz invariance, Discrete symmetries
•  LESSONS/QFT10 :: S-matrix, Causality and Unitarity. Covariant
Perturbation theory
•  LESSONS/QFT-11 :: Green functions and Causal propagators,Time ordered products and Wick's theorem,
• LESSONS/QFT-12 ::  Feynman diagrams, Feynman Rules;Computation of cross sections and life times.
•  LESSONS/QFT-13 :: Higher Orders in Perturbation Theory

### Assessment & Evaluation

To be uploaded soon

Click here to go to Self Paced Courses for Newbies

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-27 15:08:04

### A Temporary Collection

THIS IS A TEMPORARY COLLECTION CREATED IN PROCESS OF REORGANIZATION OF RESOURCES

Its members to be moved to final collections at a later stage.

Projects :: Web Quest

21-08-17 04:08:45

### Lessons

• QM01-Classical Theories Revisited
• QM-02 A Quick Review of Vector Spaces
• QM-03 Inner Product Spaces
• QM-05 Rise of Quantum Mechanics
• QM-06 General Structure of Quantum Mechanics
• QM-07 Canonical Quantization
• QM-08 Applications of Canonical Commutation Relations
• QM-09 Time Evolution in Quantum Mechanics
• QM-10 Coordinate and Momentum Representations
• QM-11 Schrodinger Equation in Coordinate Representation
• QM-12 Free Particle in One Dimension
• 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
• QM-17 Addition of Angular Momenta
• QM-18 Integral Equation, Born Approximation
• QM-19 Partial Wave Analysis
• QM-20 Spin and Identical Particles
• QM-21 Rayleigh Ritz Variation Method
• QM-22* Wentzel Kramers Brillouin Approximation
• QM-23 Time Independent Perturbation Theory
• QM-24 Approximation Schemes for Time Dependent Problems
• QM-25 Semi Classical Theory of Radiation
• QM-33 Relativistic Quantum Mechanics

### Solved Examples

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-14 17:08:59

### Evaluation and Assessment

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-13 12:08:40

### Evaluation and Assessment

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-13 12:08:04

Coming soon

### Evaluation and Assessment

Coming soon

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-13 12:08:28

COMING SOON

COMING SOON

### More ....

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-13 12:08:31

### Stockpile :: Complex Variables --- Problem Solving Sessions

• There is one stockpile for each area of Physics and of Mathematical Physics
• The stockpiles of resources for teaching and learning, and problem solving.
• Items available under Lessons, Problem Solving and Evaluation and Assessment are
designed as stand alone,  independent resources.
• Stockpile are useful for those who have some exposure to the subject.
Recommended for students attending a course and for teachers.
• Choose a topic and start learning, or start solving problems.
• Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
• The Newbies will find Self Paced Courses more useful.

21-08-13 08:08:51

### Self Paced Course :: Quantum Field Theory for Newbies

• Module I :: Classical Field Theory
• Module II:: Second Quantization of Schrodinger Field
• Module III:: Preparation From Quantum Mechanics-I:: Time Dependent Perturbation Theory
• Module IV:: Computation of Cross Sections and Life Times-I
• Module V:: Preparation from Relativistic Quantum Mechanics-I --- Klein Gordon Equation
• Module VI:: Quantization of  Klein Gordon Field
• Module VII:: Quantization of Electromagnetic Field
• Module VIII:: Preparation from Relativistic Quantum Mechanics-II  ----  Dirac Equation
• Module IX:: Quantization of Dirac equation
• Module-X:: Symmetries and Conservation Laws
• Module-XI:: S- Matrix, Schwinger Dyson Expansion, and Wick's Theorem
• Module-XII:: Feynman Diagrams and Feynman Rules
• Module- XIII::  Computation of  Processes --- Tree Diagrams
• Module-XIV:: Higher Order Calculation
• Module-XV:: Anomalous Magnetic Moment of Electron
21-08-08 21:08:43

### Proofs Help and Information

21-08-01 19:08:34

### Wonderful World of WWW

Links to lot of interesting sites are given. At present it is all unclassified.

सकल पदारथ एहि जग माही, कर्महीन नर पावत नाही

 Click for  complete list of all collections
21-07-23 20:07:50

### Phy-611:: Assignments with Solutions of Course in QM given by T. V. Ramakrishnan (1967)

MORE SETS WILL APPEAR HERE SOON

### My Courses at Different Institutions

• Classical Mechanics --- Hyd Univ Summer Course (2018)
• Mechanics --- BITS Hyderabad (2014)
• Classical Mechanics -I ---- CMI (2019)
• Quantum Mechanics --- Hyd Univ. 2010
• Quantum Mechanics --- Hyd Univ Summer Course (2018-19)
• Quantum Field Theory --- IIT Bhubneshwar QFT (2015)

### Statistical Mechanics ---- IIT Bhubnewsar (2017) ---- With K.P. N. Murthy

Click here to go to the  Statistical Mechanics Page

 This collection has a variety of archived teaching resources. Contributed by friends colleagues and by some of my teachers at different institutions. Resources of selected courses given by me at different institutions. The resources can be downloaded Online viewing of resources here is not supported.

List of all collections

21-07-23 20:07:50

### Repository-III :: Diverse Resources for Evaluation and Assessment

The Evaluation and Assessment resources are broadly classified into three cognitive levels.

• Resources for Class Room Tests and  Examinations
• Mathematical Physics
• Classical Mechanics
• Electricity and Magentism
• Electrodynamics
• Quantum Mechanics
• Statistical Mechanics
• Level-I :: Recalling and Understanding
• Level-II :: Applying and Analyzing
• Level-III :: Evaluating, Synthesizing, Creating and More
 This is a repository of resources for evaluation and assessment. Teachers and experts will find it useful for planning tests, quiz and examinations. This collection is  meant primarily for internal use of Proofs program. One of the important features  of this collection is that the items included are broadly classified according to the level of difficulty and usage etc.  When development stage of  a critical minimum mass is reached, this repository is expected to serve a variety of purposes such as diagnostic, formative and summative assessments.
21-05-23 00:05:48

### Complex Variables :: Solutions and Errata

Complex Variables --- Principles and Problem Sessions  SOLUTIONS and ERRATA

### Chapter 4 :: Integration in Complex Plane

• $$\S\S$$ 4.1 Questions Range of Parameters In Improper Integrals
• $$\S\S$$ 4.2 Tutorial Computing Line Integrals in Complex Plane
• $$\S\S$$ 4.3 Exercise Evaluation of Line Integrals
• $$\S\S$$ 4.4 Questions Deformation of Contours
• $$\S\S$$ 4.5 Exercise Deformation of Contours
• $$\S\S$$  4.6 Exercise Cauchy Theorem
• $$\S\S$$ 4.7 Tutorial Shift of Real Integration Parameter by a Complex Number
• Q[1] Prove that $$\int_0^\infty exp(-px^2) \cos(2bx)\, dx= \frac{1}{2}\sqrt{\frac{\pi}{p}} \exp(-b^2/p), p>0$$
• Q[2] Prove that $$\int_0^\infty e^{-px^2} \sin(ax) \sin(bx) = \frac{1}{4} \left\{\exp\Big(\frac{(a-b)^2}{4p}\Big)- \exp\Big( -\frac{-(a+b)^2}{4p}\Big) \right\}$$
• $$\S\S$$ 4.8 Tutorial Scaling of a Real Integration Variable by a Complex Number
• $$\S\S$$ 4.9 Exercise Shift and Scaling by a Complex Number
• $$\S\S$$ 4.10 Exercise Rotation of Contour
• $$\S\S$$  4.11 Mixed Bag

### Chapter 5 :: Cauchy Integral Formula

• $$\S\S$$ 5.2
• $$\S\S$$ 5.3
• $$\S\S$$ 5.5
• $$\S\S$$ 5.4 :: Taylor Series Representation
• $$\S\S$$ 5.8 :: Laurent Expansion of $$f(z)$$ in powers of $$(z-z_0) ### Chapter 6 :: The Residue Theorem ### Chapter 7 :: Contour Integration • \(\S\S$$ 7.2 Tutorial Integrals of Rational Function
• $$\S\S$$ 7.3 Exercise
• $$\S\S$$ 7.4 Exercise ---Integrals of $$\sin x / \cos x$$ with rational functions.
• $$\S\S$$ 7.5 Tutorial Integration Around a Branch Cut
• $$\S\S$$ 7.6 Integration around a branch cut
• $$\S\S$$ 7.7 Integral of Type $$\int • \(\S\S$$ 7.8 Hyperbolic Functions
• $$\S\S$$7.9 Exercise ----- Exponential and Hyperbolic Functions
• $$\S\S$$ 7.10 Tutorial Principal Value Integrals
• $$\S\S$$ 7.11 Exercise Integrals Requiring Indented Contours
• $$\S\S$$ 7.12 Series Summation and Expansion
• $$\S\S$$ 7.13 What you see is not what you get
• $$\S\S$$ 7.14 Integrals from Statistical Mechanics
• $$\S\S$$ 7.15 Alternate Routes Improper Integrals
• $$\S\S$$7.16 Killing Two Birds with One Stone
• $$\S\S$$ 7.17
• $$\S\S$$ 7.18 Mixed Bag : Improper Integrals

### Errata for Complex Variables ----Principles and Problem Sessions

21-05-22 14:05:12

### Proofs Warehouse -I

This Warehouse is a collection of resource items for internal use and development of Proofs programme.  Some of the items appearing here are being  developed on experimental basis. Most of the items in this tree are likely to  be  moved, or removed, in future.
Still some other items appearing here will serve as  supplementary resources for a course being taught at  a given time. These may not remain available after the course is over.

Click here to go the collection and see the Table of Content

21-05-20 16:05:15

### Collection of Clusters ---- Resource for Learning by a Topic

About  clusters : A number of things of same sort gathered together or growing together.

This collection has loosely connected, many times overlapping resources arranged according a chosen topics.

### Green Function

1. Basic Definition A simple example
2. Calculating Green Function
• Using Fourier Transform
• Free Particle Schrodinger Equation
• Green Function for Klein Gordon Equation
• Eigenfunction Expansion
• Separation of Variables; Example from electrodynamics
• Uniqueness Theorem; Method of Images
• Applications
Converting to an integral equation
Boundary Value Problems in EM Theory
Relation to Energy Eigenvalues and Eigenfunctions
• AND MORE
• ### Vectors  and Tensors

Vectors --- by ---- John Peacock  Good Introduction for Newbies

What is a tensor --- by  --- Johann Colombano-Rut Good Introduction for Newbies

21-05-20 04:05:25