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 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
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 book
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 describes the following topics: Mathematical Foundations,
Quantum Measurements, Dynamics and Symmetries, Approximation Methods, Quantum
Information Processing, Quantum Information Theory.
This lecture note explains the
following topics: The Early History of Quantum Mechanics, The Wave Function, The
Two Slit Experiment, Wave Mechanics, Particle Spin and the Stern-Gerlach
Experiment, Probability Amplitudes, Vector Spaces in Quantum Mechanics, State
Spaces of Infinite Dimension, Matrix Representations of State Vectors and
Operators, Probability, Expectation Value and Uncertainty, Time Evolution in
Quantum Mechanics.
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.
This notes contains the details about
Heisenberg's road to the uncertainty relations,
Heisenberg's argument, The
interpretation of Heisenberg's relation, Bohr and
The Minimal Interpretation
This book covers the following topics: Maxwell’s Equations, Electrostatic Fields, Potential Theory, Magnetostatic
Fields, Magnetostatics in Magnetic Media, Wave Propagation in Uniform
Dielectric Media, Wave Propagation in Inhomogeneous Dielectric Media,
Radiation and Scattering, Resonant Cavities and Waveguides, Multipole
Expansion, Relativity and Electromagnetism.
This
book explains the following topics related to Quantum Mechanics:
Principles of Classical Mechanics, Failure of Classical Mechanics,
Principles of Quantum Mechanics, Applications of Quantum Mechanics, The
Rotating Planar Oscillator, Dirac Formulation.