Foundations of Quantum Mechanics: An Introduction to the Physical Background and Mathematical Structure
by Gregory Naber
Publisher: gregnaber.com 2016
Number of pages: 575
The goal here is to provide an introduction to the physical and mathematical foundations of quantum mechanics. It is addressed to those who have been trained in modern mathematics. As to the mathematical formalism itself, we will provide careful, detailed and rigorous treatments of just a few of the simplest and most fundamental systems with which quantum mechanics deals in the hope that this will lay the foundation for a deeper study of the physical applications to be found in the literature.
Home page url
Download or read it online for free here:
by Curt A. Moyer - arXiv
The failure of conventional quantum theory to recognize time as an observable and to admit time operators is addressed. We emphasize the role of the Hamiltonian as the generator of translations in time to construct time states.
by A. del Campo, G. Garcia-Calderon, J. G. Muga - arXiv
Quantum transients are temporary features of matter waves before they reach a stationary regime. Transients may arise after the preparation of an unstable initial state or due to a sudden interaction or a change in the boundary conditions.
by Ivan Todorov - arXiv
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics).
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.