Covariant Schroedinger operator

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F02%3A00006568" target="_blank" >RIV/00216224:14310/02:00006568 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Covariant Schroedinger operator

Original language description

We analyse the Schroedinger operator for a quantum 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 approach the Schroedinger operatorby three independent ways: in terms of covariant differentials induced by the quantum connection, via a quantum Lagrangian and directly by the only requirement of general covariance. In particular, in the flat case, our Schroedinger operator coincides with the standard one.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F02%2F0225" target="_blank" >GA201/02/0225: Prolongation of geometric structures</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

J. Phys. A: Math. Gen.

ISSN

0305-4470

e-ISSN

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Volume of the periodical

35

Issue of the periodical within the volume

40

Country of publishing house

GB - UNITED KINGDOM

Number of pages

28

Pages from-to

8407

UT code for WoS article

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EID of the result in the Scopus database

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