Guide to Mathematical Concepts of Quantum Theory
by Teiko Heinosaari, Mario Ziman
Publisher: arXiv 2008
Number of pages: 188
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper the authors introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
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by Francois David - arXiv
These notes present an introductory, but hopefully coherent, view of the main formalizations of quantum mechanics, of their interrelations and of their common physical underpinnings: causality, reversibility and locality/separability.
by Paolo Giannozzi - University of Udine
The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.
by Gerald Teschl - American Mathematical Society
This is a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required.
by Alexander Komech - arXiv.org
The main goal of these lectures is introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary orbits ...