Equivalence principle for quantum mechanics in the Heisenberg picture

研究成果: 雜誌貢獻期刊論文同行評審

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.

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文章編號085013
期刊Classical and Quantum Gravity
41
發行號8
DOIs
出版狀態已出版 - 18 4月 2024

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