Quantum Mechanics Revisited
by Jean Claude Dutailly
Publisher: arXiv 2013
Number of pages: 65
From a general study of the relations between models, meaning the set of variables with their mathematical properties, and the measures they represent, a new formalism is developed, which covers the scope of Quantum Mechanics. In this paper we prove that the states of any physical system can be represented in a Hilbert space, that a self-adjoint operator is associated to any observable, that the result of a measure must be an eigen value of the operator and appear with the usual probability law.
Home page url
Download or read it online for free here:
by M. De Sanctis - arXiv
By using the general concepts of special relativity and the requirements of quantum mechanics, Dirac equation is derived and studied. Only elementary knowledge of spin and rotations in quantum mechanics and standard linear algebra are required.
by Eugene V. Stefanovich
A non-traditional perspective on space, time, particles, fields, and action-at-a-distance. This book is an attempt to build a consistent relativistic quantum theory of interacting particles. The developed theory is applied to realistic physical objects.
by Daniel A. Lidar - arXiv.org
This is a self-contained set of lecture notes covering various aspects of the theory of open quantum system, at a level of a graduate course. The main emphasis is on completely positive maps and master equations, both Markovian and non-Markovian.
by F. Guinea, E. Bascones, M.J. Calderon
An interesting topic of quantum mechanics is the study of open quantum systems. By it, we mean a simple quantum system, described by one or a few degrees of freedom, interacting with a background characterized by a continuum of excitations.