JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 67-71.doi: 10.6040/j.issn.1671-9352.0.2017.174

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Finite dimensional approximation of linear stochastic Schrödinger equation in terms of localization of quantum Bernoulli noises

HUANG Ai-ling, LIN Shuai   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-04-20 Online:2017-12-20 Published:2017-12-22

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Abstract: Local quantum Bernoulli noise is the family of local annihilation and creation operators, which is localization of quantum Bernoulli noise and satisfies a local canonical anti-communication relation in equal time. A linear stochastic Schrödinger equation in terms of local quantum Bernoulli noise is considered. The existence and uniqueness of a solution to the equation, its priori estimates as well as its finite dimensional approximation are discussed.

Key words: priori estimates, rate of convergence, local quantum Bernoulli noise, stochastic Schrö, numerical solution, dinger equation

CLC Number: 

  • O211.4
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