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
explains the following topics: Schrodinger equation, Wronskian theorem, Hilbert
Spaces for Physicists, Postulates of Quantum Mechanics, Harmonic Oscillator in
Operatorial Form, Angular momentum quantization, Symmetries in Quantum
Mechanics, Spin, Identical particles, Hydrogen atom, Time-dependent and
independent perturbation theory, Path integral approach to quantum mechanics, :
Semiclassical quantum mechanics.
This note explains the following topics:
The Classical State, Historical Origins of Quantum Mechanics, The Wave-like
Behaviour of Electrons, Energy and Uncertainty, Quantum State, Operators and
Observations, Rectangular Potentials, The Harmonic Oscillator, Spectrum of
Angular Momentum, Aspects of Spin, Electron Spin, Approximation Methods, Quantum
Mechanics as Linear Algebra, Feynman Path-Integral Quantization.
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
This note is
intended to teach quantum mechanics to undergraduate students as well as
graduate students. Topics covered includes: Classical Mechanics, Quantum
Mechanics, Time-Dependent Schr¨odinger Equation, Mathematical Preliminarie,
Approximate Methods in Quantum Mechanics, Quantum Mechanics in Crystals, Angular
Momentum, Density Matrix, 2 Quantization of Classical Fields, Schrodinger Wave
Fields, Quantum Information and Quantum Interpretation.
note covers the following topics: Introduction to Superposition,
Experimental Facts of Life, The Wave Function, Expectations, Momentum, and
Uncertainty , Operators and the Schrödinger Equation, Time Evolution and the
Schrödinger Equation, Energy Eigenstates and Quantum Harmonic Oscillator.
Author(s): Prof. Allan Adams, Prof. Matthew Evans and Prof. Barton