Systematic Treatment of General Time-Dependent Harmonic Oscillator in Classical and Quantum Mechanics

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概要

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• A systematic way of treating a general time-dependent harmonic oscillator in classical and quantum mechanics is given. By a general canonical transformation in classical mechanics, the time-dependent Hamiltonian can be transformed to a time-independent one (the Lewis-Riesenfeld invariant), explicitly separating a total time-derivative term. In quantum mechanics, one can obtain the phase of the wave function straightforwardly from this total-derivative term, together with the corresponding time-independent Hamiltonian. We solve analytically and algebraically the general time-dependent harmonic oscillator driven by a time-dependent inverse cubic force as an example.

• 理論物理学刊行会の論文
• 1995-05-25

著者

• Okada Hidehiko

  Research And Development Center Toshiba Corp.

• KANASUGI Hirotaka

  Department of Physics, Tokyo Institute of Technology

• Kanasugi Hirotaka

  Department Of Physics Tokyo Institute Of Technology

• OKADA Hidehiko

  Department of Physics, Tokyo University

• OKADA Hidehiko

  Department of physics, Tokyo Institute of Technology

• OKADA Hidehiko

  Research and Development Center, Toshiba Corp.

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