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 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
- Language
- eng
- Extent
- 1 online resource
- 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
- 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 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
- 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 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
- 9781461471165
- 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
- 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
- 9781461471165
- 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
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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Quantum-theory-for-mathematicians-Brian-C./boqQQdpaW10/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Quantum-theory-for-mathematicians-Brian-C./boqQQdpaW10/">Quantum theory for mathematicians, Brian C. Hall</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
