Coverart for item
The Resource Quantum theory for mathematicians, Brian C. Hall

Quantum theory for mathematicians, Brian C. Hall

Label
Quantum theory for mathematicians
Title
Quantum theory for mathematicians
Statement of responsibility
Brian C. Hall
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Hall, Brian C
Dewey number
530.12
Index
index present
LC call number
QC174.12
LC item number
.H35 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Graduate texts in mathematics,
Series volume
267
http://library.link/vocab/subjectName
  • Quantum theory
  • Quantum theory
  • Quanta, Teoría de los
  • Quantum theory
  • Quantum theory
  • Quantenmechanik
  • Mathematische Methode
Label
Quantum theory for mathematicians, Brian C. Hall
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Unbounded Self-Adjoint Operators
  • The Spectral Theorem for Unbounded Self-Adjoint Operators
  • The Harmonic Oscillator
  • The Uncertainty Principle
  • Quantization Schemes for Euclidean Space
  • The Stone-von Neumann Theorem
  • The WKB Approximation
  • Lie Groups, Lie Algebras, and Representations
  • Angular Momentum and Spin
  • Radial Potentials and the Hydrogen Atom
  • The Experimental Origins of Quantum Mechanics
  • Systems and Subsystems, Multiple Particles
  • The Path Integral Formulation of Quantum Mechanics
  • Hamiltonian Mechanics on Manifolds
  • Geometric Quantization on Euclidean Space
  • Geometric Quantization on Manifolds
  • A First Approach to Classical Mechanics
  • A First Approach to Quantum Mechanics
  • The Free Schrödinger Equation
  • A Particle in a Square Well
  • Perspectives on the Spectral Theorem
  • The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
  • The Spectral Theorem for Bounded Self-Adjoint Operators: Proofs
Control code
851418964
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461471158
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-7116-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)851418964
Label
Quantum theory for mathematicians, Brian C. Hall
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Unbounded Self-Adjoint Operators
  • The Spectral Theorem for Unbounded Self-Adjoint Operators
  • The Harmonic Oscillator
  • The Uncertainty Principle
  • Quantization Schemes for Euclidean Space
  • The Stone-von Neumann Theorem
  • The WKB Approximation
  • Lie Groups, Lie Algebras, and Representations
  • Angular Momentum and Spin
  • Radial Potentials and the Hydrogen Atom
  • The Experimental Origins of Quantum Mechanics
  • Systems and Subsystems, Multiple Particles
  • The Path Integral Formulation of Quantum Mechanics
  • Hamiltonian Mechanics on Manifolds
  • Geometric Quantization on Euclidean Space
  • Geometric Quantization on Manifolds
  • A First Approach to Classical Mechanics
  • A First Approach to Quantum Mechanics
  • The Free Schrödinger Equation
  • A Particle in a Square Well
  • Perspectives on the Spectral Theorem
  • The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
  • The Spectral Theorem for Bounded Self-Adjoint Operators: Proofs
Control code
851418964
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461471158
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-7116-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)851418964

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