Universitext

Mathematical Concepts of Quantum Mechanics

Authors: Gustafson, Stephen J., Sigal, Israel Michael

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  • A very readable introduction to modern mathematical topics in quantum mechanics
  • Solves the problem of how to teach quantum mechanics to mathematically oriented students in an optimal way
  • Shows how the mathematical treatment of quantum mechanics brings insights to physics
  • Useful guide to the literature
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eBook $59.99
price for Mexico
  • ISBN 978-3-030-59562-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Softcover $74.99
price for Mexico
About this Textbook

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.

Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.

It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group.

With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.



About the authors

Stephen J. Gustafson is Professor of Mathematics at the University of British Columbia. His research centres on various partial differential equations arising in physics.
Israel Michael Sigal is the Norman Stuart Robertson chair in Applied Mathematics at the University of Toronto.  He works in several areas of mathematical physics and applied mathematics. 

Table of contents (27 chapters)

Table of contents (27 chapters)

Buy this book

eBook $59.99
price for Mexico
  • ISBN 978-3-030-59562-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Softcover $74.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Concepts of Quantum Mechanics
Authors
Series Title
Universitext
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-030-59562-3
DOI
10.1007/978-3-030-59562-3
Softcover ISBN
978-3-030-59561-6
Series ISSN
0172-5939
Edition Number
3
Number of Pages
XIV, 456
Number of Illustrations
33 b/w illustrations
Topics