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 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 is an introductory
note on quantum mechanics. Topics covered includes: A Quantum Particle in One
Dimension, The Formalism of Quantum Mechanics, A Quantum Particle in Three
Dimensions.

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.