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
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QM01 :: Classical Theories Revisited
Lecture 11 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 12 :: 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 13 Concepts that changed from classical to quantum theory 

QM02 :: A Quick Review of Vector Spaces
Lecture 2 : Vector Spaces For Quantum Mechanics Click Here
QM03 :: Inner Product Spaces
Lecture 3 Linear Operators in Inner Product Spaces Click Here
MORE COMING VERY SOON
QM04 :: Inadequacy of Classical Theories
QM05 :: Advent of Quantum Theory
QM06 :: Postulates of Quantum Mechanics
QM07 :: Canonical Quantization
QM08 :: Eigenvalues Using Commutators
QM09 :: Time Development
QM10 :: Coordinate and Momentum Representations
QM11 :: Time Dependent Schr\"{o}dinger Equation
QM12 :: Free Particle
QM13 :: Energy Eigenvalues in One Dimension
QM14 :: Reflection and Transmission in One Dimension
QM15 :: Problems in Two and Three Dimensions
QM16 :: Spherically Symmetric Potential in Three Dimensions
QM17 :: Addition of Angular Momenta
QM18 :: Scattering Integral Equation
QM19 :: Scattering  Partial Wave Expansion
QM20 :: Spin and Identical Particles
QM21 :: Variation Method
QM22 :: WKB Approximation
QM23 :: Time Independent Perturbation Theory
QM24 :: Approximation Schemes for Time Dependent Problems
QM25 :: Semiclassical Treatment of Radiation