ON QUANTUM STOCHASTIC DIFFERENTIAL-EQUATIONS WITH UNBOUNDED COEFFICIENTS

被引：31

作者：

FAGNOLA, F

机构：

[1] Dipartimento di Matematica, Università di Trento, Povo (TN)

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1990年 / 86卷 / 04期

关键词：

D O I：

10.1007/BF01198172

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove an existence, uniqueness and unitarity theorem for quantum stochastic differential equations with unbounded coefficients which satisfy an analyticity condition on a common dense invariant domain. This result, applied to the quantum harmonic oscillator, gives a rigorous meaning to a large class of stochastic differential equations that have been considered formally in quantum probability. © 1990 Springer-Verlag.

引用

页码：501 / 516

页数：16

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