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 note
exlains the following topics: electromagnetic waves, Introduction to quantum mechanics, Dynamical
variables and observables in quantum mechanics, Applications, Spin and the pauli
principle, The transition from quantum mechanics to approximate theories and to
molecular dynamics.
This note describes the following topics: Mathematical Foundations,
Quantum Measurements, Dynamics and Symmetries, Approximation Methods, Quantum
Information Processing, Quantum Information Theory.
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 note covers
the following topics: Bound States, Discreet Energy Levels, Electron Diffraction, Exploring
Quantum Tunneling, Uncertainty Principle, Interpreting Wave
Functions, Sketching Wave Functions, Shape of the Wave Function, Wave Packet,
Wave Functions and Energies in Atoms.
This
note covers the following topics: Special Relativity, Basic Quantum
Mechanics, Single-Particle Systems, Multiple-Particle Systems, Time Evolution,
Basic and Quantum Thermodynamics, Angular momentum and Electromagnetism.
This note introduces Quantum Mechanics at an advanced level
addressing students of Physics, Mathematics, Chemistry and Electrical
Engineering. It covers the following topics: Lagrangian Mechanics, Quantum
Mechanical Path Integral, The Schršodinger Equation, Linear Harmonic
Oscillator, Theory of Angular Momentum and Spin, Quantum Mechanical Addition
of Angular Momenta and Spin, Motion in Spherically Symmetric Potentials,
Interaction of Charged Particles with Electromagnetic Radiation,
ManyParticle Systems, Relativistic Quantum Mechanics, Spinor Formulation of
Relativistic Quantum Mechanics and Symmetries in Physics.