JANYŠKA, Josef and Marco MODUGNO. An outline of covariant quantum mechanics. In Recent Developments in Gravitational Phzsics. USA: Amazon, Institute of Physics Conference Series, 2006, p. 367-384. ISBN 978-0-7503-0943-1.
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Basic information
Original name An outline of covariant quantum mechanics
Name in Czech Kovariantni kvantová mechanika
Authors JANYŠKA, Josef (203 Czech Republic, guarantor) and Marco MODUGNO (380 Italy).
Edition USA, Recent Developments in Gravitational Phzsics, p. 367-384, 2006.
Publisher Amazon, Institute of Physics Conference Series
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/06:00016409
Organization unit Faculty of Science
ISBN 978-0-7503-0943-1
Keywords in English General covariance; classical mechanics; quantum mechanics
Tags classical mechanics, general covariance, quantum mechanics
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Josef Janyška, DSc., učo 1384. Changed: 12/2/2010 15:42.
Abstract
We outline a generally covariant formulation of quantum mechanics for a scalar particle in a curved spacetime, which is fibred over absolute time and is equipped with given spacelike metric, gravitational field and electromagnetic field. We claim that the quantum operators can be achieved by the only requirement of general covariance. In particular, in the flat case, our quantum operators operators coincide with the standard ones.
Abstract (in Czech)
Je studována obecně kovariantní formulace kvantové mechaniky pro pevnou částici v zakřiveném prostoročase s absolutním časem, metrickým a gravitačním polem. Je ukázáno, že kvantové operátory mohou být studovány pouze s předpokladem invariantnosti. Specielně v plochém případě naše kvantové operátory splývají s klasickými.
Links
GA201/02/0225, research and development projectName: Prodlužování geometrických struktur
Investor: Czech Science Foundation, Prolongation of geometric structures
GA201/05/0523, research and development projectName: Geometrické struktury na fibrovaných varietách
Investor: Czech Science Foundation, Geometric structures on fibered manifolds
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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