Study of classical mechanical systems with complex potentials

DOI10.1016/j.physleta.2010.12.023zbMath1241.70025arXiv1101.0909OpenAlexW2067489297WikidataQ114260569 ScholiaQ114260569MaRDI QIDQ430684

J. Herrera, H. S. Yoon

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0909

zbMATH Keywords

PT symmetryclosed orbitsclassical trajectoriesopen orbitsphase space trajectories

Mathematics Subject Classification ID

Hamilton's equations (70H05) Symmetry breaking in quantum theory (81R40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (4)

Classical spectrum generating algebra of the Kepler-Coulomb system and action-angle variables ⋮ Various scattering properties of a new PT-symmetric non-Hermitian potential ⋮ Time fractional Schrödinger equation: Fox's H-functions and the effective potential ⋮ A unified approach to quantum and classical TTW systems based on factorizations

Cites Work

• Classical motion and coherent states for Pöschl-Teller potentials
• Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings
• Factorizations of one-dimensional classical systems
• Classical trajectories of 1D complex non-Hermitian Hamiltonian systems
• Complex trajectories of a simple pendulum
• 𝓟𝓣-symmetric quantum mechanics
• Classical trajectories for complex Hamiltonians
• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

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