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.
The topics discussed
in this lecture notes include: Probability Amplitudes and Quantum States,
Operators and Observables, Position and Momentum Representations,Time Evolution
in Quantum Mechanics,Wave mechanics, Harmonic Oscillators,Transformations and
Symmetries,Heisenberg picture and Heisenberg equation of motion, Rotational
invariance and angular momentum as a good quantum number,Position representation
and angular momentum, Angular momentum and magnetic moments,Spin and total
angular momentum,QM systems composed of two parts, Product States vs entangled
states, Addition of angular momenta, EPR experiment and Bell inequalities,
Position representation, Energy eigenvalues and emission spectra of hydrogen,
Explicit form of the wave functions.
Author(s): F.H.L. Essler, The Rudolf
Peierls Centre for Theoretical Physics, Oxford University
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: Schrodinger’s Equation, Piecewise
Potentials, Linear Algebra and Function Space, Angular Momentum and Spin,
Multiple Particles, Perturbation Theory – Fine Structure, Time Dependent
Perturbation Theory, Relativistic Quantum Mechanics: The Dirac Equation.