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 book online
covers the following topics related to Quantum Mechanics : Introduction, 1D Wave
Mechanics, Higher Dimensionality Effects, Bra-ket Formalism, Some Exactly
Solvable Problems, Perturbation Theories, Open Quantum Systems, Multiparticle
Systems, Introduction to Relativistic Quantum, Making Sense of Quantum
Mechanics.
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 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.