Post-Newtonian corrections to Schrödinger equations in gravitational fields

Originalpublikation

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

Version im Repositorium

Zum Zitieren der Version im Repositorium verwenden Sie bitte diesen DOI: https://doi.org/10.15488/5103

Thumbnail
Name: Schwartz_2019_Cla ...
Größe: 1.461Mb
Format: PDF
Öffnen
Zusammenfassung:
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.
Lizenzbestimmungen: CC BY 3.0 Unported - https://creativecommons.org/licenses/by/3.0/
Publikationstyp: Article
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2019
Schlagwörter (englisch): formal WKB expansion, Klein-Gordon equation, non-relativistic expansion, post-Newtonian expansion, quantum matter in gravity
Fachliche Zuordnung (DDC): 530 | Physik

Downloadstatistik

Zur Langanzeige

Die Publikation erscheint in Sammlung(en):

 

Suche im Repositorium


Durchblättern

Mein Nutzer/innenkonto

Nutzungsstatistiken