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- W2050805655 abstract "A three-dimensional stochastic process which has the particle density as its probability density is constructed from Nelson's stochastic mechanics, yielding a particle trajectory picture for density-functional theory. This diffusion process enables simulating the detailed behavior of multiparticle quantum systems with substantial computational economy. A stochastic-mechanical form of the Heisenberg uncertainty principle holds in the new context. Moreover, a kinetic energy functional is defined and shown to be connected with other kinetic energy expressions, and in the case of a time-independent ground state a formal dynamics for the process is proposed. A related real-space version is developed of Bohm's quantum potential formalism." @default.
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- W2050805655 date "1988-12-01" @default.
- W2050805655 modified "2023-09-26" @default.
- W2050805655 title "Real-space diffusion theory of multiparticle quantum systems" @default.
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- W2050805655 doi "https://doi.org/10.1103/physreva.38.5851" @default.
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