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.
The contents of the notes include: The Schrodinger equation,
Measurement and uncertainty, The harmonic oscillator, Angular momentum and spin,
Particles in an external magnetic eld, Pictures in quantum mechanics, Particle
in a central potential, Time independent Perturbation theory, Variational
principle, Path integral formulation of quantum mechanics, Scattering Theory.
Author(s): Jorg Schmalian, Karlsruhe Institute
of Technology
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.
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.