The Resource Symplectic techniques in physics, Victor Guillemin, Shlomo Sternberg

Symplectic techniques in physics, Victor Guillemin, Shlomo Sternberg

Label
Symplectic techniques in physics
Title
Symplectic techniques in physics
Statement of responsibility
Victor Guillemin, Shlomo Sternberg
Creator
Contributor
Subject
Genre
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorDate
1937-
http://library.link/vocab/creatorName
Guillemin, Victor
Illustrations
illustrations
Index
index present
LC call number
QC20.7.D52
LC item number
G84 1984
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Sternberg, Shlomo
http://library.link/vocab/subjectName
  • Geometry, Differential
  • Mathematical physics
  • Transformations (Mathematics)
  • Géométrie différentielle
  • Physique mathématique
  • Transformations (Mathématiques)
  • Geometry, Differential
  • Mathematical physics
  • Transformations (Mathematics)
  • Differentiaalmeetkunde
  • Symplectische ruimten
  • Transformaties (wiskunde)
  • Natuurkunde
  • Mathematische Physik
  • Physik
  • Symplektische Geometrie
Label
Symplectic techniques in physics, Victor Guillemin, Shlomo Sternberg
Instantiates
Publication
Note
Includes index
Bibliography note
Bibliography: p. 458-465
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Examples in Fresnel optics
  • The phase factor
  • Fresnel's formula
  • Fresnel optics and quantum mechanics
  • Holography
  • Poisson brackets
  • The Heisenberg group and representation
  • The Groenwald-van Hove theorem
  • Other quantizations
  • Polarization of light
  • Gaussian optics
  • The coadjoint orbit of a semidirect product
  • Electromagnetism and the determination of symplectic structures
  • Epilogue: Why symplectic geometry?
  • The geometry of the moment map
  • Normal forms
  • The Darboux-Weinstein theorem
  • Kaehler manifolds
  • Left-invariant forms and Lie algebra cohomology
  • Symplectic group actions
  • The moment map and some of its properties
  • Hamilton's method in Gaussian optics
  • Group actions and foliations
  • Collective motion
  • Cotangent bundles and the moment map for semidirect products
  • More Euler-Poisson equations
  • The choice of a collective Hamiltonian
  • Convexity properties of toral group actions
  • The lemma of stationary phase
  • Geometric quantization
  • Motion in a Yang-Mills field and the principle of general covariance
  • The equations of motion of a classical particle in a Yang-Mills field
  • Fermat's principle
  • Curvature
  • The energy-momentum tensor and the current
  • The principle of general covariance
  • Isotropic and coisotropic embeddings
  • From Gaussian optics to linear optics
  • Geometrical optics, Hamilton's method, and the theory of geometrical aberrations
  • Fermat's principle and Hamilton's principle
  • Interference and diffraction
  • Gaussian integrals
Dimensions
24 cm
Extent
xi, 468 pages
Isbn
9780521248662
Lccn
83007762
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)09686498
  • (OCoLC)ocm09686498
Label
Symplectic techniques in physics, Victor Guillemin, Shlomo Sternberg
Publication
Note
Includes index
Bibliography note
Bibliography: p. 458-465
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Examples in Fresnel optics
  • The phase factor
  • Fresnel's formula
  • Fresnel optics and quantum mechanics
  • Holography
  • Poisson brackets
  • The Heisenberg group and representation
  • The Groenwald-van Hove theorem
  • Other quantizations
  • Polarization of light
  • Gaussian optics
  • The coadjoint orbit of a semidirect product
  • Electromagnetism and the determination of symplectic structures
  • Epilogue: Why symplectic geometry?
  • The geometry of the moment map
  • Normal forms
  • The Darboux-Weinstein theorem
  • Kaehler manifolds
  • Left-invariant forms and Lie algebra cohomology
  • Symplectic group actions
  • The moment map and some of its properties
  • Hamilton's method in Gaussian optics
  • Group actions and foliations
  • Collective motion
  • Cotangent bundles and the moment map for semidirect products
  • More Euler-Poisson equations
  • The choice of a collective Hamiltonian
  • Convexity properties of toral group actions
  • The lemma of stationary phase
  • Geometric quantization
  • Motion in a Yang-Mills field and the principle of general covariance
  • The equations of motion of a classical particle in a Yang-Mills field
  • Fermat's principle
  • Curvature
  • The energy-momentum tensor and the current
  • The principle of general covariance
  • Isotropic and coisotropic embeddings
  • From Gaussian optics to linear optics
  • Geometrical optics, Hamilton's method, and the theory of geometrical aberrations
  • Fermat's principle and Hamilton's principle
  • Interference and diffraction
  • Gaussian integrals
Dimensions
24 cm
Extent
xi, 468 pages
Isbn
9780521248662
Lccn
83007762
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)09686498
  • (OCoLC)ocm09686498

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