Trajectory interpretation of correspondence principle: solution of nodal issue

DOI10.1007/s10701-020-00363-3zbMath1454.81038arXiv1911.04747OpenAlexW3102643888MaRDI QIDQ828352

Shiang-Yi Han, Ciann-Dong Yang

Publication date: 8 January 2021

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04747

zbMATH Keywords

correspondence principlecomplex Fokker-Planck equationcomplex quantum random trajectory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic mechanics (including stochastic electrodynamics) (81P20) Fokker-Planck equations (35Q84) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Cites Work

• Optimal guidance law in quantum mechanics
• Coherent states and modified de Broglie-Bohm complex quantum trajectories
• Probability density in the complex plane
• Probability and complex quantum trajectories: finding the missing links
• Bohmian mechanics, the quantum-classical correspondence and the classical limit: The case of the square billiard
• On the classical limit in Bohm's theory
• Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom
• Tunneling in energy eigenstates and complex quantum trajectories
• Modeling quantum harmonic oscillator in complex domain
• Strong chaos in one-dimensional quantum system
• Understanding interference experiments with polarized light through photon trajectories
• Probability and complex quantum trajectories
• Interfering quantum trajectories without which-way information
• Trajectory description of the quantum-classical transition for wave packet interference
• Simple explanation of the classical limit
• Wave-particle duality in complex space
• Classical trajectories of 1D complex non-Hermitian Hamiltonian systems
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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