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• W2057483399 abstract "From the Madelung's work in 1926, it became clear that the pair of adjoint Schrodinger equations is equivalent to two equations of hydrodynamic representation for probability density w(x, t) = ‖ψ(x, t)‖ 2 and mean momentum p(x, t) = i∞(ψ* x ψ * - ψ * * x ψ)/2w. Both these equations can be derived from the quantum transport equation (QTE) for a probability density P(p, x, t) as two equations for the two first moments w(x, t) = ∫ P(p, x, t)d 3 p and (p) x , t = w - 1 ∫ pP(p, x, t)d 3 p. Then, QTE can be obtained from a non-Markovian stochastic Kolmogorov-Gikhman-Skorokhod equation for a real pure-jump process. Similarly, the Klein-Fock-Gordon equation follows from non-Markovian relativistic QTE (RQTE). Thus, all quantum mechanics as mathematical theory is a topic of the theory of real pure-jump non-Markovian stochastic processes." @default.
• W2057483399 created "2016-06-24" @default.
• W2057483399 creator A5075883385 @default.
• W2057483399 date "2002-05-23" @default.
• W2057483399 modified "2023-09-25" @default.
• W2057483399 title "Deduction of the Klein-Fock-Gordon equation from a non-Markovian stochastic equation for real pure-jump process" @default.
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• W2057483399 doi "https://doi.org/10.1002/qua.10212" @default.
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