This note covers
the following topics:The Mathematical Formalism of Quantum Mechanics,
Postulates of Quantum Mechanics, Density Operator, Spatial Degrees of Freedom,
Time Evolution in Quantum Mechanics, The WKB Method, Harmonic Oscillators and
Coherent States, The Propagator and the Path Integral, Charged Particles in
Magnetic Fields, Rotations in Ordinary Space, Rotations in Quantum Mechanics,
and Rotations of Spin / Systems, Representations of the Angular Momentum
Operators and Rotations, Spins in Magnetic Fields, Orbital Angular Momentum and
Spherical Harmonics, Central Force Motion, Hydrogen, Coupling of Angular Momenta,
Irreducible Tensor Operators and the Wigner-Eckart Theorem, Bound-State
Perturbation Theory, The Stark Effect in Hydrogen and Alkali Atoms, The
Photoelectric Effect.
This book online
covers the following topics related to Quantum Mechanics : Introduction, 1D Wave
Mechanics, Higher Dimensionality Effects, Bra-ket Formalism, Some Exactly
Solvable Problems, Perturbation Theories, Open Quantum Systems, Multiparticle
Systems, Introduction to Relativistic Quantum, Making Sense of Quantum
Mechanics.
This is an introductory
note on quantum mechanics. Topics covered includes: A Quantum Particle in One
Dimension, The Formalism of Quantum Mechanics, A Quantum Particle in Three
Dimensions.
This book
covers the following topics: The classical description of a particle, Hilbert
space formalism, Group theory, Lie algebra, The Green function approach, The
evolution operator, Scattering theory, Quantum mechanics in practice, Dynamics
and driven systems.
This
lecture note explains the following topics: Classical Mechanics, Abstract vector
spaces, Functions as vectors, Postulates of Quantum Mechanics, The Wavefunction,
The Uncertainty Principle, Scattering Theory, Stationary States, Angular
Momentum, The Hydrogen Atom, Spin.