Post-Newtonian corrections to Schrödinger equations in gravitational fields
- verfasst von
- Philip K. Schwartz, Domenico Giulini
- 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.
- Organisationseinheit(en)
-
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Institut für Theoretische Physik
- Externe Organisation(en)
-
Universität Bremen
Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
- Typ
- Artikel
- Journal
- Classical and Quantum Gravity
- Band
- 36
- ISSN
- 0264-9381
- Publikationsdatum
- 09.05.2019
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Physik und Astronomie (sonstige)
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.1812.05181 (Zugang:
Offen)
https://doi.org/10.1088/1361-6382/ab0fbd (Zugang: Offen)
https://doi.org/10.15488/5103 (Zugang: Offen)
https://doi.org/10.1088/1361-6382/ab5633 (Zugang: Offen)
