QUANTUM-MECHANICS AS A CLASSICAL DIFFUSION PROCESS

被引：8

作者：

COLLINS, RE

机构：

[1] Research and Engineering Consultants, Inc., Englewood, 80111, Colorado, 5445 DTC Parkway

来源：

FOUNDATIONS OF PHYSICS LETTERS | 1992年 / 5卷 / 01期

关键词：

MECHANICS; PROBABILITY; STOCHASTIC; QUANTUM; DIFFUSION;

D O I：

10.1007/BF00689797

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct construction is provided showing that the classical expectation value for the energy of a particle executing a classical diffusion process is equivalent to the quantum mechanical form with a Hamiltonian structured like that for a charged particle in an electromagnetic field.

引用

页码：63 / 69

页数：7

共 10 条

[1]

Collins R.E., Quantum theory: A Hilbert-space formalism for probability theory, Found. Phys., 7, (1977)

[2]

Collins R.E., The mathematical basis for quantum mechanics, Nuovo Cimento Lett., 18, (1977)

[3]

Collins R.E., The mathematical basis for quantum mechanics II, Nuovo Cimento Lett., 25, (1979)

[4]

Morse P.M., Feshbach H., Methods of Theoretical Physics, (1953)

[5]

Nelson E., Derivation of the Schroedinger equation from Newtonian mechanics, Phys. Rev., 150, (1966)

[6]

de la Pena L., Cetto A.M., Stochastic theory for classical and quantum systems, Foundations of Physics, 5, (1975)

[7]

Weaver D.L., Tunneling, stochastic quantization and escape over a barrier, Phys. Rev. Lett., 40, (1978)

[8]

Chandrasekhar S., Stochastic problems in physics and astronomy, Rev. Mod. Phys., 15, (1943)

[9]

Collins R.E., Fanchi J.R., Relativistic quantum mechanics: A space-time formalism for spin-zero particles, Nuovo Cimento, 48 A, (1978)

[10]

Fanchi J.R., Collins R.E., Quantum mechanics of relativistic spinless particles, Found. Phys., 8, (1978)

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