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

公豬

沙發(fā)

cylinder

Book 2000lication of the theory. The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level, and some selected chapters can be used as (sub-)textbooks for advanced courses on stochastic processes, quantum theory and theoretical chemistry.

Harass

,Stationary Schr?dinger Processes,pts and mathematical structures. We shall see that our diffusion processes, Schr?dinger diffusion processes, must be treated more carefully. We will analyze some typical stationary cases to see the movement of quantum particles.

Jocose

Relativistic Quantum Particles,agnetic field. It will be shown that the relativistic quantum particles no longer have continuous paths but move only through pure jumps in contrast to the continuous movement of non-relativistic quantum particles.

miniature

長處

The Locality in Quantum Physics,iscussion (1964) based on his inequality has convinced people that any hidden-variable theory becomes necessarily incompatible with quantum mechanics if it satisfies the locality. But, as will be shown, Bell’s conclusion (1964) is not correct.

終端

1017-0480 icles‘, and shows that it is the theory of stochastic (in particular Markov) processes and that a relativistic quantum particle has pure-jump sample paths while sample paths of a non-relativistic quantum particle are continuous. Together with known techniques, some new stochastic methods are applied

河流

exceed

Processes on Open Time Intervals,his requires closer analysis of stochastic differential equations in connection with time reversal of stochastic (diffusion) processes. In this context of time reversal, a Skorokhod problem with singular drift is discussed.