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Open Quantum Systems Decoherence

Post-Newtonian corrections to Schrödinger equations in gravitational fields

arXiv
Authors: Philip K. Schwartz, Domenico Giulini

Year

2018

Paper ID

22729

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

In this paper we extend the WKB-like `non-relativistic' expansion of the minimally coupled Klein--Gordon equation after Kiefer and Singh [1], Lämmerzahl [2] and Giulini and Großardt [3] 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. [4]. 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.

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  • In this paper we extend the WKB-like `non-relativistic' expansion of the minimally coupled Klein--Gordon equation after Kiefer and Singh [1], Lämmerzahl [2] and Giulini and...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.05181 [2] arXiv https://arxiv.org/abs/1812.05181 [3] Publisher https://arxiv.org/abs/1812.05181

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