Details
| Original language | English |
|---|---|
| Article number | 052116 |
| Journal | Physical Review A |
| Volume | 100 |
| Issue number | 5 |
| Early online date | 22 Nov 2019 |
| Publication status | Published - Nov 2019 |
Abstract
We extend the systematic calculation of an approximately relativistic Hamiltonian for center of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [Phys. Rev. A 98, 042106 (2018)10.1103/PhysRevA.98.042106] to the case including a weak post-Newtonian gravitational background field, described by the Eddington-Robertson parametrized post-Newtonian metric. Starting from a proper relativistic description of the situation, this approach allows us to systematically derive the coupling of the model system to gravity, instead of "guessing" it by means of classical notions of relativistic effects. We embed this technical result into a critical discussion concerning the problem of implementing and interpreting general couplings to the gravitational field and the connected problem of how to properly address the question concerning the validity of the Equivalence Principle in Quantum Mechanics.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review A, Vol. 100, No. 5, 052116, 11.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Post-Newtonian Hamiltonian description of an atom in a weak gravitational field
AU - Schwartz, Philip K.
AU - Giulini, Domenico
N1 - Funding Information: We thank Klemens Hammerer for pointing out Ref. [1] and asking questions that initiated and encouraged the work reported here, as well as for critical reading of the manuscript and the suggestion of improvements. We are grateful to Alexander Friedrich for pointing out Ref. [9] to us. This work was supported by the Deutsche Forschungsgemeinschaft through the Collaborative Research Centre 1227 (DQ-mat), project B08. We thank all members for fruitful and encouraging discussions on topics related to the one dealt with in this paper.
PY - 2019/11
Y1 - 2019/11
N2 - We extend the systematic calculation of an approximately relativistic Hamiltonian for center of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [Phys. Rev. A 98, 042106 (2018)10.1103/PhysRevA.98.042106] to the case including a weak post-Newtonian gravitational background field, described by the Eddington-Robertson parametrized post-Newtonian metric. Starting from a proper relativistic description of the situation, this approach allows us to systematically derive the coupling of the model system to gravity, instead of "guessing" it by means of classical notions of relativistic effects. We embed this technical result into a critical discussion concerning the problem of implementing and interpreting general couplings to the gravitational field and the connected problem of how to properly address the question concerning the validity of the Equivalence Principle in Quantum Mechanics.
AB - We extend the systematic calculation of an approximately relativistic Hamiltonian for center of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [Phys. Rev. A 98, 042106 (2018)10.1103/PhysRevA.98.042106] to the case including a weak post-Newtonian gravitational background field, described by the Eddington-Robertson parametrized post-Newtonian metric. Starting from a proper relativistic description of the situation, this approach allows us to systematically derive the coupling of the model system to gravity, instead of "guessing" it by means of classical notions of relativistic effects. We embed this technical result into a critical discussion concerning the problem of implementing and interpreting general couplings to the gravitational field and the connected problem of how to properly address the question concerning the validity of the Equivalence Principle in Quantum Mechanics.
UR - http://www.scopus.com/inward/record.url?scp=85075613801&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1908.06929
DO - 10.48550/arXiv.1908.06929
M3 - Article
AN - SCOPUS:85075613801
VL - 100
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 052116
ER -