Quantum Theory for Mathematicians

Quantum Theory for Mathematicians
Author :
Publisher : Springer Science & Business Media
Total Pages : 566
Release :
ISBN-10 : 9781461471165
ISBN-13 : 1461471168
Rating : 4/5 (168 Downloads)

Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall

Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.


Quantum Theory for Mathematicians Related Books

Quantum Theory for Mathematicians
Language: en
Pages: 566
Authors: Brian C. Hall
Categories: Science
Type: BOOK - Published: 2013-06-19 - Publisher: Springer Science & Business Media

GET EBOOK

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematici
Quantum Field Theory: A Tourist Guide for Mathematicians
Language: en
Pages: 325
Authors: Gerald B. Folland
Categories: Education
Type: BOOK - Published: 2021-02-03 - Publisher: American Mathematical Soc.

GET EBOOK

Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who
Quantum Mechanics for Mathematicians
Language: en
Pages: 410
Authors: Leon Armenovich Takhtadzhi͡an
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

GET EBOOK

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical fou
Quantum Fields and Strings: A Course for Mathematicians
Language: en
Pages: 801
Authors: Pierre Deligne
Categories: Mathematics
Type: BOOK - Published: 1999-10-25 - Publisher: American Mathematical Society

GET EBOOK

A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opp
Quantum Field Theory for Mathematicians
Language: en
Pages: 720
Authors: Robin Ticciati
Categories: Mathematics
Type: BOOK - Published: 1999-06-13 - Publisher: Cambridge University Press

GET EBOOK

This should be a useful reference for anybody with an interest in quantum theory.