About this collection:
This is a collection of Lecture Notes on Quantum Mechanics.
An effort is made to keep the content focused on the main topics.
There is no discussion of related topics and no digression into unnecessary details.
Who may find it useful:
Any one who wants to learn or refresh all topics in standard two semester quantum mechanics courses.
Topics covered:
The list of topics covered appears in the main body of this page.
Click on any topic to see details and links to content pages.
Collection of Lecture Notes on Quantum Mechanics
CLICK ON ANY TOPIC TO SEARCH AND BROWSE THE LECS
QM-01 :: Classical Theories Revisited
Lecture 1-1 An Overview of Classical Concepts In classical theory the wave and particle nature are two important concepts that appear incompatible. While the particles are localized and are characterized by well defined position and momentum, the waves exhibit interference and diffraction phenomena. In quantum theory, these seemingly incompatible properties coexist and systems exhibit dual nature. |
Lecture 1-2 :: Structure of Physical Theories The physical theories have the following four components.
The above components are described for the classical mechanics. The details of the description changes when a transition is made from classical to the quantum theory. Lecture 1-3 Concepts that changed from classical to quantum theory |
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QM-02 :: A Quick Review of Vector Spaces
Lecture 2 : Vector Spaces For Quantum Mechanics Click Here
QM-03 :: Inner Product Spaces
Lecture 3 Linear Operators in Inner Product Spaces Click Here
MORE COMING VERY SOON
QM-04 :: Inadequacy of Classical Theories
QM-05 :: Advent of Quantum Theory
QM-06 :: Postulates of Quantum Mechanics
QM-07 :: Canonical Quantization
QM-08 :: Eigenvalues Using Commutators
QM-09 :: Time Development
QM-10 :: Coordinate and Momentum Representations
QM-11 :: Time Dependent Schr\"{o}dinger Equation
QM-12 :: Free Particle
QM-13 :: Energy Eigenvalues in One Dimension
QM-14 :: Reflection and Transmission in One Dimension
QM-15 :: Problems in Two and Three Dimensions
QM-16 :: Spherically Symmetric Potential in Three Dimensions
QM-17 :: Addition of Angular Momenta
QM-18 :: Scattering- Integral Equation
QM-19 :: Scattering - Partial Wave Expansion
QM-20 :: Spin and Identical Particles
QM-21 :: Variation Method
QM-22 :: WKB Approximation
QM-23 :: Time Independent Perturbation Theory
QM-24 :: Approximation Schemes for Time Dependent Problems
QM-25 :: Semi-classical Treatment of Radiation