Coverart for item
The Resource Physical applications of homogeneous balls, Yaakov Friedman, with the assistance of Tzvi Scarr

Physical applications of homogeneous balls, Yaakov Friedman, with the assistance of Tzvi Scarr

Label
Physical applications of homogeneous balls
Title
Physical applications of homogeneous balls
Statement of responsibility
Yaakov Friedman, with the assistance of Tzvi Scarr
Creator
Contributor
Subject
Language
eng
Summary
One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework. This text introduces precisely such a broad mathematical model, one that gives a clear geometric expression of the symmetry of physical laws and is entirely determined by that symmetry. The first three chapters discuss the occurrence of bounded symmetric domains (BSDs) or homogeneous balls and their algebraic structure in physics. It is shown that the set of all possible velocities is a BSD with respect to the projective group; the Lie algebra of this group, expressed as a triple product, defines relativistic dynamics. The particular BSD known as the spin factor is exhibited in two ways: first, as a triple representation of the Canonical Anticommutation Relations, and second, as a ball of symmetric velocities. The associated group is the conformal group, and the triple product on this domain gives a representation of the geometric product defined in Clifford algebras. It is explained why the state space of a two-state quantum mechanical system is the dual space of a spin factor. Ideas from Transmission Line Theory are used to derive the explicit form of the operator Mobius transformations. The book further provides a discussion of how to obtain a triple algebraic structure associated to an arbitrary BSD; the relation between the geometry of the domain and the algebraic structure is explored as well. The last chapter contains a classification of BSDs revealing the connection between the classical and the exceptional domains. With its unifying approach to mathematics and physics, this work will be useful for researchers and graduate students interested in the many physical applications of bounded symmetric domains. It will also benefit a wider audience of mathematicians, physicists, and graduate students working in relativity, geometry, and Lie theory
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Friedman, Yaakov
Dewey number
530.15/4
Illustrations
illustrations
Index
index present
LC call number
QC20.7.H63
LC item number
F75 2005
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Scarr, Tzvi
Series statement
Progress in mathematical physics
Series volume
40
http://library.link/vocab/subjectName
  • Homogeneous spaces
  • Mathematical physics
  • Special relativity (Physics)
  • Homogeneous spaces
  • Mathematical physics
  • Special relativity (Physics)
Label
Physical applications of homogeneous balls, Yaakov Friedman, with the assistance of Tzvi Scarr
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 271-274) 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
  • Relativity based on symmetry
  • The real spin domain
  • The complex spin factor and applications
  • The classical bounded symmetric domains
  • The algebraic structure of homogeneous balls
  • Classification of JBW *-triple factors
Control code
821595410
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461264934
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8208-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)821595410
Label
Physical applications of homogeneous balls, Yaakov Friedman, with the assistance of Tzvi Scarr
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 271-274) 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
  • Relativity based on symmetry
  • The real spin domain
  • The complex spin factor and applications
  • The classical bounded symmetric domains
  • The algebraic structure of homogeneous balls
  • Classification of JBW *-triple factors
Control code
821595410
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781461264934
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8208-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)821595410

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