Coverart for item
The Resource Mathematical concepts of quantum mechanics, Stephen J. Gustafson, Israel Michael Sigal

Mathematical concepts of quantum mechanics, Stephen J. Gustafson, Israel Michael Sigal

Label
Mathematical concepts of quantum mechanics
Title
Mathematical concepts of quantum mechanics
Statement of responsibility
Stephen J. Gustafson, Israel Michael Sigal
Creator
Contributor
Subject
Language
eng
Summary
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1972-
http://library.link/vocab/creatorName
Gustafson, Stephen J.
Dewey number
530.1201/51
Index
index present
Language note
English
LC call number
QC174.17.M35
LC item number
G87 2011
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1945-
http://library.link/vocab/relatedWorkOrContributorName
Sigal, Israel Michael
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Quantum theory
  • Quantum theory
Label
Mathematical concepts of quantum mechanics, Stephen J. Gustafson, Israel Michael Sigal
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
1. Physical background -- 2. Dynamics -- 3. Observables -- 4. Quantization -- 5. Uncertainty principle and stability of atoms and molecules -- 6. Spectrum and dynamics -- 7. Special cases -- 8. Bound states and variational principle -- 9. Scattering states -- 10. Existence of atoms and molecules -- 11. Perturbation theory: Freshbach-Schur method -- 12. General theory of many-particle systems -- 13. Self-consistent approximations -- 14. The Feynman path integral -- 15. Quasi-classical analysis -- 16. Resonances -- 17. Quantum statistics -- 18. The second quantization -- 19. Quantum electro-magnetic field -- photons -- 20. Standard model of non-relativistic matter and radiation -- 21. Theory of radiation -- 22. Renormalization group -- 23. Mathematical supplement: spectral analysis -- 24. Mathematical supplement: the calculus of variations -- 25. Comments on literature, and further reading
Control code
757836020
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xiii, 382 pages).
File format
unknown
Form of item
online
Isbn
9783642218651
Lccn
2011935880
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-21866-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757836020
Label
Mathematical concepts of quantum mechanics, Stephen J. Gustafson, Israel Michael Sigal
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
1. Physical background -- 2. Dynamics -- 3. Observables -- 4. Quantization -- 5. Uncertainty principle and stability of atoms and molecules -- 6. Spectrum and dynamics -- 7. Special cases -- 8. Bound states and variational principle -- 9. Scattering states -- 10. Existence of atoms and molecules -- 11. Perturbation theory: Freshbach-Schur method -- 12. General theory of many-particle systems -- 13. Self-consistent approximations -- 14. The Feynman path integral -- 15. Quasi-classical analysis -- 16. Resonances -- 17. Quantum statistics -- 18. The second quantization -- 19. Quantum electro-magnetic field -- photons -- 20. Standard model of non-relativistic matter and radiation -- 21. Theory of radiation -- 22. Renormalization group -- 23. Mathematical supplement: spectral analysis -- 24. Mathematical supplement: the calculus of variations -- 25. Comments on literature, and further reading
Control code
757836020
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xiii, 382 pages).
File format
unknown
Form of item
online
Isbn
9783642218651
Lccn
2011935880
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-21866-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757836020

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