Classical trajectories for complex Hamiltonians

DOI10.1088/0305-4470/39/16/009zbMath1090.81024arXivmath-ph/0602040OpenAlexW1986296704MaRDI QIDQ5290724

Jun-hua Chen, Daniel W. Darg, Kimball A. Milton, Carl M. Bender

Publication date: 3 May 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0602040

Mathematics Subject Classification ID

Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) General quantum mechanics and problems of quantization (81S99) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

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Complex-valued classical behavior from the correspondence limit of quantum mechanics with two boundary conditions ⋮ Complex Classical Motion in Potentials with Poles and Turning Points ⋮ Coherent states and modified de Broglie-Bohm complex quantum trajectories ⋮ Probability density in the complex plane ⋮ Dynamical systems on infinitely sheeted Riemann surfaces ⋮ Study of classical mechanical systems with complex potentials ⋮ Real description of classical Hamiltonian dynamics generated by a complex potential ⋮ Periodic orbits for classical particles having complex energy ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Classical and quantum complex Hamiltonian curl forces

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