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.
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by Jean Claude Dutailly - arXiv
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.
by James Binney, David Skinner - Capella Archive
This book aims to give students the best possible understanding of the physical implications of quantum mechanics by explaining how quantum systems evolve in time, and showing the close parallels between quantum and classical dynamics.
by Linus Pauling, E. Bright Wilson - McGraw-Hill Education
This undergraduate-level text applies quantum mechanics to some chemical and physical problems, covering wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules.
by J D Cresser - Macquarie University
With the development of the quantum information interpretation of quantum mechanics, the tendency is to move away from wave mechanics to the more abstract linear algebra version. It is this view of quantum mechanics that is presented in these notes.