Advanced Quantum Mechanics
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
There is no exact Foldy-Wouthuysen transformation for the non-free Dirac equation.
“It is well known that there is no exact FWT for the non-free Dirac equation, i.e., if we add a potential to the free Dirac equation (1) the Dirac Hamiltonian becomes no longer diagonalizable with one single unitary transformation [20].”
From Optical simulation of the free Dirac equation (2019) · cites this paper as [20]
Cited by
Sorted by citations
Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
Casanova, J., Mezzacapo, A., Lamata, L., & Solano, E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.190502 · Cited by 118 · see citing works
Optical simulation of the free Dirac equation
Silva, T. L., Taillebois, E. R. F., Gomes, R. M., Walborn, S. P., & Avelar, A. T. (2019) · Physical Review A · doi:10.1103/physreva.99.022332 · Cited by 14 · see citing works
- Authors
- Schwabl, F.
- Affiliations
- Technical University of Munich (DE)
- Corresponding author
- Franz Schwabl
- Venue
- Springer eBooks
- Publisher
- Springer Berlin Heidelberg
- Published
- 2008
- OpenAlex
- W1606745180
- Cited by
- 110
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2022: 2 · 2021: 7 · 2020: 4 · 2019: 6 · 2018: 6 · 2017: 3 · 2016: 5 · 2015: 7 · 2014: 10 · 2013: 5 · 2012: 6
- FWCI
- 4.97
- Type
- book
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- public-domain
- www.springer.com/tdm (tdm)
- Locations
- Springer eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- University of Michigan Library Repository (submittedVersion, public-domain)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Keywords
- relativistic wave equations, relativistic quantum fields, quantum many-body theory, quantum field theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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