An outline of covariant quantum mechanics

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.

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

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Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

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Abstract

V originále

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.

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.

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Links

GA201/02/0225, research and development project	Name: Prodlužování geometrických struktur Investor: Czech Science Foundation, Prolongation of geometric structures
GA201/05/0523, research and development project	Name: 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