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Quantum Theories and Geometry

Door M. Cahen e.a.

Quantum Theories and Geometry
CategorieAlgemeen wetenschap
Boeknummer#342361
TitelQuantum Theories and Geometry
AuteurCahen, M. & M. Flato
BoektypeGebonden hardcover
UitgeverijDordrecht : Kluwer
Jaar van uitgave1988
ISBN109027728038
ISBN139789027728036
TaalEngels
BeschrijvingOriginal boards, illustrated with numerous equations and diagrams, 8vo. Mathematical Physics Studies, 10.
SamenvattingThis book presents the text of most of the lectures which were delivered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathemati- cians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It 1S the strong belief of the organizers that these written con- tributions will be a useful document for research people workin~ 1n geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A. Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely propor- tional to temperature. S. Gutt reviews the physical background of star products and indicates their applications in Lie groups representa- tion theory and in harmonic analysis. D. Arnal gives a rigorous theory Vll viii PREFACI of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups.
Pagina's191
ConditieGoed — Name in pen on title page.
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