Lie Groups in Physics
by G. 't Hooft, M. J. G. Veltman
Publisher: Utrecht University 2007
Number of pages: 75
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); Representations of SU(N).
Download or read it online for free here:
by Karl Svozil - Edition Funzl
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
by Laszlo Erdos - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
by Cathleen S. Morawetz - Tata Institute Of Fundamental Research
Introduction to certain aspects of gas dynamics concentrating on some of the most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
by Solomon I. Khmelnik - MiC
In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Navier-Stokes equations represent the extremum conditions of a certain functional.