Titlebook: Stochastic Processes in Quantum Physics; Masao Nagasawa Book 2000 Springer Basel AG 2000 Brownian motion.EFE.Lévy process.Markov property.

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不可比擬

Non-Relativistic Quantum Theory,e movement . of quantum particles, accordingly. However, the interrelation between the equation of motion and the movement . of a particle(s) is not so direct as in classical mechanics, and we must go into deeper mathematical structures of diffusion processes to clarify the relation.

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征服

,Construction of the Schr?dinger Processes, solve the equation of motion (or the Schr?dinger equation) and apply the transformation of Markov processes by a multiplicative functional. In the second case we employ the stochastic variational principle.

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領袖氣質(zhì)

Relativistic Quantum Particles, the stochastic theory to relativistic quantum particles. We will consider the relativistic Schr?dinger equation of a spinless particle in an electromagnetic field. It will be shown that the relativistic quantum particles no longer have continuous paths but move only through pure jumps in contrast t

植物群

Stochastic Differential Equations of Pure-Jumps,power generators which are in formal duality, and shown that the evolution equation has an equivalent formulation in terms of stochastic differential equations of pure-jumps. In this chapter the existence and uniqueness of solutions of the stochastic differential equations of pure-jumps will be prov

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