The Schrodinger Equation From a Quadratic Hamiltonian System

dc.creatorYeung, Wai Bong
dc.date1999-11-02
dc.date.accessioned2026-07-07T06:17:08Z
dc.date.available2026-07-07T06:17:08Z
dc.descriptionWe regard the real and imaginary parts of the Schrodinger wave function as canonical conjugate variables.With this pair of conjugate variables and some other 2n pairs, we construct a quadratic Hamiltonian density. We then show that the Schrodinger Equation follows from the Hamilton's Equation of motion when the Planck frequency is much larger than the characteristic frequencies of the Hamiltonian system. The Hamiltonian and the normal mode solutions coincide, respectively, with the energy expectation value and the energy eigenstates of the corresponding quantum mechanical system.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9911001
dc.identifierhttp://arxiv.org/abs/quant-ph/9911001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94298
dc.subjectQuantum Physics
dc.titleThe Schrodinger Equation From a Quadratic Hamiltonian System
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