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A Micro-Stochastic Equation for Quantum Mechanics
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Cheng-Li Wu
Department of Physics, Chung-Yuan Christian University, Chung-Li, Taiwan 320, R. O. C. (Received November 17, 1997) |
A stochastic equation named as Micro-Stochastic equation is proposed
to describe the motion of a microscopic object assuming that the
object is interacting with a background field through a random force
and a associated friction force, undergoing a Markoff process. It is
shown that in one limit, this dynamical equation leads to the
Schroedinger equation in quantum mechanics when the friction
coefficient  ˇ÷Inf.; in other limit, it reduces to
classical mechanics when  ˇ÷0.
New physics might be expected when  is significant
and  is not too large.
In this stochastic approach, the physical quantities of a microscopic
object can take any possible values like a classical object; no
quantization is required. The nature of eigen values and quantization
of physical quantities in quantum mechanics are discussed.
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