Foundations of quantum mechanics: Connection with stochastic processes

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作者
Olavo, L.S.F. [1 ]
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[1] Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70919-970, Brasilia, Distritio Fed., Brazil
来源
Physical Review A - Atomic, Molecular, and Optical Physics | 2000年 / 61卷 / 05期
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In this paper we explore the mathematical and epistemological connections between the stochastic derivation of the Schrodinger equation and the one proposed by ourselves in previous papers. It will be shown that these connections are accomplished by means of the fluctuation-dissipation theorem, to which we may unambiguously relate the symbols and physical references of both approaches. As a by-product of our investigation, it will be possible to interpret the time-energy dispersion relation on sounder grounds. It will also be possible to discuss the superposition principle and to interpret it on a quite simple basis. The origin of the stochasticity and its relation to stability will be also addressed and the bridge to an axiomatic formulation of stochastic electrodynamics will be constructed.
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页码:521091 / 521091
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