The Resource Quantum theory for mathematicians, Brian C. Hall
Quantum theory for mathematicians, Brian C. Hall
Resource Information
The item Quantum theory for mathematicians, Brian C. Hall represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Quantum theory for mathematicians, Brian C. Hall represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 selfadjoint operators; the Stonevon Neumann Theorem; the WentzelKramersBrillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the pathintegral 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
 Language
 eng
 Extent
 1 online resource
 Contents

 Unbounded SelfAdjoint Operators
 The Spectral Theorem for Unbounded SelfAdjoint Operators
 The Harmonic Oscillator
 The Uncertainty Principle
 Quantization Schemes for Euclidean Space
 The Stonevon 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 SelfAdjoint Operators: Statements
 The Spectral Theorem for Bounded SelfAdjoint Operators: Proofs
 Isbn
 9781461471165
 Label
 Quantum theory for mathematicians
 Title
 Quantum theory for mathematicians
 Statement of responsibility
 Brian C. Hall
 Subject

 Electronic bookss
 Functional analysis.
 Mathematical Applications in the Physical Sciences.
 Mathematical physics.
 Mathematics.
 Mathematische Methode
 Quanta, Teoría de los
 Quantenmechanik
 Quantum Physics.
 Quantum theory
 Quantum theory
 Quantum theory
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory.
 Topological Groups, Lie Groups.
 Topological Groups.
 Electronic books
 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 selfadjoint operators; the Stonevon Neumann Theorem; the WentzelKramersBrillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the pathintegral 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
 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
 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 SelfAdjoint Operators
 The Spectral Theorem for Unbounded SelfAdjoint Operators
 The Harmonic Oscillator
 The Uncertainty Principle
 Quantization Schemes for Euclidean Space
 The Stonevon 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 SelfAdjoint Operators: Statements
 The Spectral Theorem for Bounded SelfAdjoint Operators: Proofs
 Control code
 851418964
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781461471165
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461471165
 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
 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 SelfAdjoint Operators
 The Spectral Theorem for Unbounded SelfAdjoint Operators
 The Harmonic Oscillator
 The Uncertainty Principle
 Quantization Schemes for Euclidean Space
 The Stonevon 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 SelfAdjoint Operators: Statements
 The Spectral Theorem for Bounded SelfAdjoint Operators: Proofs
 Control code
 851418964
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781461471165
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461471165
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)851418964
Subject
 Electronic bookss
 Functional analysis.
 Mathematical Applications in the Physical Sciences.
 Mathematical physics.
 Mathematics.
 Mathematische Methode
 Quanta, Teoría de los
 Quantenmechanik
 Quantum Physics.
 Quantum theory
 Quantum theory
 Quantum theory
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory.
 Topological Groups, Lie Groups.
 Topological Groups.
 Electronic books
Genre
Member of
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