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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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樓主: implicate
41#
發(fā)表于 2025-3-28 15:25:47 | 只看該作者
42#
發(fā)表于 2025-3-28 19:29:27 | 只看該作者
43#
發(fā)表于 2025-3-29 02:18:33 | 只看該作者
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.
44#
發(fā)表于 2025-3-29 03:48:31 | 只看該作者
45#
發(fā)表于 2025-3-29 09:33:40 | 只看該作者
,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.
46#
發(fā)表于 2025-3-29 13:49:25 | 只看該作者
47#
發(fā)表于 2025-3-29 18:57:22 | 只看該作者
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
48#
發(fā)表于 2025-3-29 22:13:22 | 只看該作者
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
49#
發(fā)表于 2025-3-30 03:46:01 | 只看該作者
50#
發(fā)表于 2025-3-30 05:11:34 | 只看該作者
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