dorsal/arxiv
View SchemaThe Schrodinger Equation From a Quadratic Hamiltonian System
| Authors | Wai Bong Yeung |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911001 |
| URL | https://arxiv.org/abs/quant-ph/9911001 |
Abstract
We 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.
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"abstract": "We regard the real and imaginary parts of the Schrodinger wave function as\ncanonical conjugate variables.With this pair of conjugate variables and some\nother 2n pairs, we construct a quadratic Hamiltonian density. We then show that\nthe Schrodinger Equation follows from the Hamilton\u0027s Equation of motion when\nthe Planck frequency is much larger than the characteristic frequencies of the\nHamiltonian system. The Hamiltonian and the normal mode solutions coincide,\nrespectively, with the energy expectation value and the energy eigenstates of\nthe corresponding quantum mechanical system.",
"arxiv_id": "quant-ph/9911001",
"authors": [
"Wai Bong Yeung"
],
"categories": [
"quant-ph"
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"title": "The Schrodinger Equation From a Quadratic Hamiltonian System",
"url": "https://arxiv.org/abs/quant-ph/9911001"
},
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