Single-particle quantum mechanics of the free Klein–Gordon equation with Lorentz violation

In spite of its problems with interactions, the first-quantized Klein–Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types that exist can in second-quantized scalar field theories. Ho...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 138; no. 7; p. 648
Main Author Altschul, Brett
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 24.07.2023
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Geometry
Hilbert space
Klein-Gordon equation
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum field theory
Quantum mechanics
Regular Article
Scalars
Spacetime
Symmetry
Theoretical
Theory of relativity
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Summary:In spite of its problems with interactions, the first-quantized Klein–Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types that exist can in second-quantized scalar field theories. However, because the construction of the theory requires a restriction to positive-energy modes, the Hilbert space inner product and the position operator depend explicitly on the form of the Lorentz violation.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-023-04285-7