Implicit 发表于 2025-3-25 04:04:05
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http://reply.papertrans.cn/87/8620/861965/861965_22.png背心 发表于 2025-3-25 15:26:12
,The Schrödinger Equation can be a Boltzmann Equation,(see (8.4) below) of the renormalized process ., or a diffusion process constructed by the method of Chapter 6 for a given function ϕ(.). In the latter case we take the creation and killing . = -.ϕ/ϕ induced by ϕ(.), and another function . such that ., and moreover assume the admissibility conditionNICE 发表于 2025-3-25 17:39:33
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http://reply.papertrans.cn/87/8620/861965/861965_25.png过份 发表于 2025-3-26 01:08:26
1017-0480shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger‘s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quan异教徒 发表于 2025-3-26 07:32:51
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Diffusion Processes and their Transformations,n the following chapters. Moreover, transformations of diffusion processes by means of multiplicative functionals, a renormalization of Kac’s semi-groups, and Feller’s one-dimensional diffusion processes will be explained.Obituary 发表于 2025-3-26 16:09:54
Duality and Time Reversal of Diffusion Processes,be applied to time-inhomogeneous diffusion processes in the third and fourth sections. Moreover, two different representations of a diffusion process will be established. They will play a crucial role in connection with quantum mechanics in Chapter 4.nuclear-tests 发表于 2025-3-26 18:56:10
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