dc.identifier.uri |
http://dx.doi.org/10.15488/5103 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/5147 |
|
dc.contributor.author |
Schwartz, Philip K.
|
|
dc.contributor.author |
Giulini, Domenico
|
|
dc.date.accessioned |
2019-07-04T11:37:34Z |
|
dc.date.available |
2019-07-04T11:37:34Z |
|
dc.date.issued |
2019 |
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dc.identifier.citation |
Schwartz, P.K.; Giulini, D.: Post-Newtonian corrections to Schrödinger equations in gravitational fields. In: Classical and Quantum Gravity 36 (2019), Nr. 9, 95016. DOI: https://doi.org/10.1088/1361-6382/ab0fbd |
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dc.description.abstract |
In this paper we extend the WKB-like 'non-relativistic' expansion of the minimally coupled Klein-Gordon equation after (Kiefer and Singh 1991 Phys. Rev. D 44 1067-76; Lammerzahl 1995 Phys. Lett. A 203 12-7; Giulini and Großardt 2012 Class. Quantum Grav. 29 215010) to arbitrary order in c -1, leading to Schrödinger equations describing a quantum particle in a general gravitational field, and compare the results with canonical quantisation of a free particle in curved spacetime, following (Wajima et al 1997 Phys. Rev. D 55 1964-70). Furthermore, using a more operator-algebraic approach, the Klein-Gordon equation and the canonical quantisation method are shown to lead to the same results for some special terms in the Hamiltonian describing a single particle in a general stationary spacetime, without any 'non-relativistic' expansion. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bristol : IOP Publishing Ltd. |
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dc.relation.ispartofseries |
Classical and Quantum Gravity 36 (2019), Nr. 9 |
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dc.rights |
CC BY 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/3.0/ |
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dc.subject |
formal WKB expansion |
eng |
dc.subject |
Klein-Gordon equation |
eng |
dc.subject |
non-relativistic expansion |
eng |
dc.subject |
post-Newtonian expansion |
eng |
dc.subject |
quantum matter in gravity |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Post-Newtonian corrections to Schrödinger equations in gravitational fields |
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dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
0264-9381 |
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dc.relation.doi |
https://doi.org/10.1088/1361-6382/ab0fbd |
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dc.bibliographicCitation.issue |
9 |
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dc.bibliographicCitation.volume |
36 |
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dc.bibliographicCitation.firstPage |
095016 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|