摘要
We present an exact quantum observable analog of the weak equivalence principle for a ‘relativistic’ quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture, with the proper identification of the canonical momentum variables as p µ , rather than p µ . We discuss the meaning of the equations in relation to projective measurements as well as equations with solution curves as ones in the noncommutative geometric picture of spacetime, and a plausible approach to quantum gravity as a theory about quantum observables as physical quantities including the notion of quantum coordinate transformation.
原文 | ???core.languages.en_GB??? |
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文章編號 | 085013 |
期刊 | Classical and Quantum Gravity |
卷 | 41 |
發行號 | 8 |
DOIs | |
出版狀態 | 已出版 - 18 4月 2024 |