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Auerbach Publications eBooks

Basic Concepts in Quantum Physics— Mathematical Tools

Daniel Minoli, Benedict Occhiogrosso

Published Mar 18, 2025• 0 citations
Publisher

Abstract

This chapter presents some of the basic mathematical background and nomenclature needed to gain an introductory understanding of Quantum Mechanics (QM). The more direct application of the math to QM per se is covered in chapters that follow.
DOI
10.1201/9781003485612-2

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Written for a two-semester graduate course in Quantum Mechanics, this comprehensive text helps develop the tools and formalism of Quantum Mechanics and its applications to physical systems. It suits students who have taken some introductory Quantum Mechanics and Modern Physics courses at undergraduate level, but it is self-contained and does not assume any specific background knowledge beyond appropriate fluency in mathematics. The text takes a modern logical approach rather than a historical one and it covers standard material, such as the hydrogen atom and the harmonic oscillator, the WKB approximations and Bohr-Sommerfeld quantization. Important modern topics and examples are also described, including Berry phase, quantum information, complexity and chaos, decoherence and thermalization, nonstandard statistics, as well as more advanced material such as path integrals, scattering theory, multiparticles and Fock space. Readers will gain a broad overview of Quantum Mechanics, as solid preparation for further study or research.
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