Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom

DOI10.1016/j.aop.2006.07.008zbMath1105.81036OpenAlexW1971365999WikidataQ114016309 ScholiaQ114016309MaRDI QIDQ857436

Ciann-Dong Yang

Publication date: 14 December 2006

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

Full work available at URL: https://zenodo.org/record/5110974

zbMATH Keywords

Hamilton mechanicscomplex extensionquantization axiomquantum motionquantum operator

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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) Geometry and quantization, symplectic methods (81S10)

Related Items (10)

Trajectory interpretation of correspondence principle: solution of nodal issue ⋮ The Relationship Between Complex Quantum Hamiltonian Dynamics and Krein Space Quantization ⋮ Optimal guidance law in quantum mechanics ⋮ Nonlinear quantum dynamics in diatomic molecules: vibration, rotation and spin ⋮ Stability and quantization of complex-valued nonlinear quantum systems ⋮ QUANTUM HAMILTON MECHANICS AND THE THEORY OF QUANTIZATION CONDITIONS ⋮ Quantum Hamilton-Jacobi cosmology and classical-quantum correlation ⋮ Extending Newton's law from nonlocal-in-time kinetic energy ⋮ Strong chaos in one-dimensional quantum system ⋮ Klein's paradox and quantum Hamiltonian dynamics in complex spacetime

Cites Work

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• Modeling quantum harmonic oscillator in complex domain
• Quantum dynamics of hydrogen atom in complex space
• Wave-particle duality in complex space
• Significance of Electromagnetic Potentials in the Quantum Theory
• Time in Quantum Mechanics
• BOUND STATE WAVE FUNCTIONS THROUGH THE QUANTUM HAMILTON–JACOBI FORMALISM
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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