Covariant Weyl quantization, symbolic calculus, and the product formula /

Bibliographic Details
Main Author:	Güntürk, Kamil Serkan, 1974-
Other Authors:	Fulling, Stephen A. (Thesis advisor)
Format:	Thesis eBook
Language:	English
Published:	[College Station, Tex.] : [Texas A&M University], [2006]
Subjects:	Major physics. point seperation method Wigner function Weyl quantization Faa di Bruno formula pseudo-differential operators world function differential geometry symbolic calculus semi-classical physics Weyl calculus
Online Access:	Link to OAK Trust copy

Description
Abstract:	A covariant Wigner-Weyl quantization formalism on the manifold that uses pseudo-differential operators is proposed. The asymptotic product formula that leads to the symbol calculus in the presence of gauge and gravitational fields is presented. The new definition is used to get covariant differential operators from momentum polynomial symbols. A covariant Wigner function is defined and shown to give gauge-invariant results for the Landau problem. An example of the covariant Wigner function on the 2-sphere is also included.
Item Description:	"Major Subject: Physics" Title from author supplied metadata (automated record created on Sep. 15, 2006.) Vita. Abstract. Electronic resource.
Format:	Mode of access: World Wide Web. System requirements: World Wide Web access and Adobe Acrobat Reader.
Bibliography:	Includes bibliographical references.