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Quantum Theory for Mathematicians (Graduate Texts in Mathematics) Brian C. Hall

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Brand
Unbranded
MPN
Does not apply
ISBN
9781461471158

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
146147115X
ISBN-13
9781461471158
eBay Product ID (ePID)
26038383173

Product Key Features

Number of Pages
Xvi, 554 Pages
Language
English
Publication Name
Quantum Theory for Mathematicians
Publication Year
2013
Subject
Physics / Quantum Theory, Functional Analysis, Physics / Mathematical & Computational
Type
Textbook
Author
Brian C. Hall
Subject Area
Mathematics, Science
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.5 in
Item Weight
344 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
23
Reviews
"This textbook is meant for advancedstudies on quantum mechanics for a mathematical readership. The exercises atthe end of each chapter make the book especially valuable." (A. Winterhof, InternationaleMathematischen Nachrichten, Issue 228, 2015) "There are a few textbooks on quantum theory for mathematicians who are alien to the physical culture ... but this modest textbook will surely find its place. All in all, the book is well written and accessible to any interested mathematicians and mathematical graduates." (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013), From the reviews: "There are a few textbooks on quantum theory for mathematicians who are alien to the physical culture ... but this modest textbook will surely find its place. All in all, the book is well written and accessible to any interested mathematicians and mathematical graduates." (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)
Series Volume Number
267
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.12
Table Of Content
1 The Experimental Origins of Quantum Mechanics.- 2 A First Approach to Classical Mechanics.- 3 A First Approach to Quantum Mechanics.- 4 The Free Schrödinger Equation.- 5 A Particle in a Square Well.- 6 Perspectives on the Spectral Theorem.- 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements.- 8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs.- 9 Unbounded Self-Adjoint Operators.- 10 The Spectral Theorem for Unbounded Self-Adjoint Operators.- 11 The Harmonic Oscillator.- 12 The Uncertainty Principle.- 13 Quantization Schemes for Euclidean Space.- 14 The Stone-von Neumann Theorem.- 15 The WKB Approximation.- 16 Lie Groups, Lie Algebras, and Representations.- 17 Angular Momentum and Spin.- 18 Radial Potentials and the Hydrogen Atom.- 19 Systems and Subsystems, Multiple Particles.- V Advanced Topics in Classical and Quantum Mechanics.- 20 The Path-Integral Formulation of Quantum Mechanics.- 21 Hamiltonian Mechanics on Manifolds.- 22 Geometric Quantization on Euclidean Space.- 23 Geometric Quantization on Manifolds.- A Review of Basic Material.- References.- Index.
Synopsis
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., 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 Schrodinger 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., 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 key topics.
LC Classification Number
QC19.2-20.85

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