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 WignerEckart Theorem, BoundState Perturbation Theory, The Stark Effect in Hydrogen and Alkali Atoms, The Photoelectric Effect.
This note contains below topics, Worldvolume theories of M2branes, SCQM from flat M2branes, Curved M2branes and topological twisting, SCQM from M2branes in a K3 surface, Conclusion and discussion.
This note contains below topics, General Approach, Comparison with Standard Formulations, Harmonic Oscillator and Perturbations, Unruh Effect, Summary and Outlook, Homological Algebra.
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
covers the following topics: The classical description of a particle, Hilbert
space formalism, Group theory, Lie algebra, The Green function approach, The
evolution operator, Scattering theory, Quantum mechanics in practice, Dynamics
and driven systems.
This book
places emphasis on learning new theoretical methods applied to old
non-relativistic ideas, with a eye to what will be required in relativistic
field theory and particle physics. The result provides an introduction to
quantum mechanics which is, unique. Topics covered includes: Linear algebra,
Canonical quantization, Path integrals, Density matrix formalism, Thermal
densities, Green functions, Identical particles, Symmetries, Wave equations,
Supersymmetry, Spin systems, Electrons and phonons, Schrodinger perturbation
theory, Angular momentum, Electrodynamics, Scattering theory.
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.