Complete Hamiltonian description of wave-like features in classical and quantum physics

DOI10.1007/S10701-009-9280-2zbMath1166.81304arXiv0706.3102OpenAlexW2145734595MaRDI QIDQ1029203

A. Orefice, R. Giovanelli, D. Ditto

Publication date: 10 July 2009

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

Full work available at URL: https://arxiv.org/abs/0706.3102

zbMATH Keywords

Hamilton equationsgeometrical opticsquantum foundationsindeterminism

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Quantum optics (81V80) Geometric optics (78A05)

Cites Work

• Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
• K -Theory of Twisted Differential Operators
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Proof That Probability Density Approaches<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ψ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in Causal Interpretation of the Quantum Theory
• Non-adiabatic dynamics in mixed quantum-classical systems
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