Quantum uncertainty as an intrinsic clock

DOI10.1088/1751-8121/ad06fcarXiv2212.09442OpenAlexW4312051888MaRDI QIDQ6068792

Etera R. Livine

Publication date: 13 November 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09442

zbMATH Keywords

Ermakov-Lewis invariantquantum uncertaintytime-dependent Hamiltoniantime reparametrization\(\mathrm{SL}(2, R)\) symmetryarmonic potentialGaussian wave-packet

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Hamilton's equations (70H05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Quantization of the gravitational field (83C45) Applications of Lie groups to the sciences; explicit representations (22E70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Classical and relativistic thermodynamics (80A10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uncertainty relations, also entropic (81S07)

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