Random walks, continuum limits, and Schrödinger's equation.
作者： GN Ord , AS Deakin , None
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摘要: By considering the simple binary symmetric random walk on a discrete lattice in 1+1 dimensions, we show that analog of Schr\"odinger's equation describes counting problem involving sample paths lattice. is obtained continuum limit with result this confirmed to have classical as well quantum context. \textcopyright{} 1996 The American Physical Society.
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sci-hub.se 参考文章(7)
G N Ord, Fractal space-time: a geometric analogue of relativistic quantum mechanics Journal of Physics A. ,vol. 16, pp. 1869- 1884 ,(1983) , 10.1088/0305-4470/16/9/012
D. G. C. McKeon, G. N. Ord, Time reversal in stochastic processes and the Dirac equation. Physical Review Letters. ,vol. 69, pp. 3- 4 ,(1992) , 10.1103/PHYSREVLETT.69.3
GN Ord, None, The Schrödinger and diffusion propagators coexisting on a lattice Journal of Physics A. ,vol. 29, ,(1996) , 10.1088/0305-4470/29/5/007
T Jacobson, L S Schulman, Quantum stochastics: the passage from a relativistic to a non-relativistic path integral Journal of Physics A. ,vol. 17, pp. 375- 383 ,(1984) , 10.1088/0305-4470/17/2/023
M.S. El Naschie, A note on quantum mechanics, diffusional interference and informions Chaos Solitons & Fractals. ,vol. 5, pp. 881- 884 ,(1995) , 10.1016/0960-0779(95)00040-B
G.N. Ord, Quantum interference from charge conservation Physics Letters A. ,vol. 173, pp. 343- 346 ,(1993) , 10.1016/0375-9601(93)90247-W
Imre F�nyes, Eine wahrscheinlichkeitstheoretische Begründung und Interpretation der Quantenmechanik European Physical Journal. ,vol. 132, pp. 81- 106 ,(1952) , 10.1007/BF01338578