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arXiv · 2209.06093

Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation

Brett Altschul
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Abstract

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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Brett Altschul. 2022-09-13. Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation. https://doi.org/10.1140/epjp%2Fs13360-023-04285-7

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