Foundations of quantum mechanics: Connection with stochastic processes

L. S. F. Olavo
Phys. Rev. A 61, 052109 – Published 14 April 2000
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Abstract

In this paper we explore the mathematical and epistemological connections between the stochastic derivation of the Schrödinger 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.

  • Received 30 July 1999

DOI:https://doi.org/10.1103/PhysRevA.61.052109

©2000 American Physical Society

Authors & Affiliations

L. S. F. Olavo

  • Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70919-970, Brasília, Distritio Federal, Brazil

Comments & Replies

Comment on “Foundations of quantum mechanics: Connection with stochastic processes”

D. Alonso, J. G. Muga, and R. Sala Mayato
Phys. Rev. A 64, 016101 (2001)

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Vol. 61, Iss. 5 — May 2000

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