/ Physics Books / Quantum Mechanics Books /

Mathematical Concepts of Quantum Mechanics

This book covers the following topics: Mathematical derour: Operator theory, Fourier transform and the calculus of variations Dynamics, Observables, The uncertainty principle, Spectral theory, Special cases, Many particle system, The Feynman path integral, Quasi classical analysis, Resonances, Quantum field theory and Renormalization group.

Author(s): S. Gustafson and I . M Sigal

185 Pages

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

97 Pages

Quantum Mechanics by Thomas DeGrand

The subject of most of this book is the quantum mechanics of systems which have a small number of degrees of freedom. This book is a mix of descriptions of quantum mechanics itself, the general properties of systems described by quantum mechanics, and general techniques for describing their behavior. Topics covered includes: Quantum mechanics in the language of Hilbert space, Time dependence in quantum mechanics, Propagators and path integrals, Density matrices, Wave mechanics, Angular momentum, Identical particles, Time independent perturbation theory, Variational methods and Time dependent perturbation theory.

Author(s): Thomas DeGrand

356 Pages

Notes on Quantum Mechanics (PDF 397p)

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 Schr�odinger 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, Many�Particle Systems, Relativistic Quantum Mechanics, Spinor Formulation of Relativistic Quantum Mechanics and Symmetries in Physics.

Author(s): K. Schulten

397 Pages

follow us on

Mathematical Concepts of Quantum Mechanics

Mathematical Concepts of Quantum Mechanics

Similar Books