dorsal/arxiv
View SchemaWave-particle duality and `bipartite' wave functions for a single particle
| Authors | Zeqian Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609092 |
| URL | https://arxiv.org/abs/quant-ph/0609092 |
Abstract
It is shown that `bipartite' wave functions can present a mathematical formalism of quantum theory for a single particle, in which the associated Schr\"{o}dinger's wave functions correspond to those `bipartite' wave functions of product forms. This extension of Schr\"{o}dinger's form establishes a mathematical expression of wave-particle duality and that von Neumann's entropy is a quantitative measure of complementarity between wave-like and particle-like behaviors. In particular, this formalism suggests that collapses of Schr\"{o}dinger's wave functions can be regarded as the simultaneous transition of the particle from many levels to one. Our results shed considerable light on the basis of quantum mechanics, including quantum measurement.
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"abstract": "It is shown that `bipartite\u0027 wave functions can present a mathematical\nformalism of quantum theory for a single particle, in which the associated\nSchr\\\"{o}dinger\u0027s wave functions correspond to those `bipartite\u0027 wave functions\nof product forms. This extension of Schr\\\"{o}dinger\u0027s form establishes a\nmathematical expression of wave-particle duality and that von Neumann\u0027s entropy\nis a quantitative measure of complementarity between wave-like and\nparticle-like behaviors. In particular, this formalism suggests that collapses\nof Schr\\\"{o}dinger\u0027s wave functions can be regarded as the simultaneous\ntransition of the particle from many levels to one. Our results shed\nconsiderable light on the basis of quantum mechanics, including quantum\nmeasurement.",
"arxiv_id": "quant-ph/0609092",
"authors": [
"Zeqian Chen"
],
"categories": [
"quant-ph"
],
"title": "Wave-particle duality and `bipartite\u0027 wave functions for a single particle",
"url": "https://arxiv.org/abs/quant-ph/0609092"
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