Symmetric form of the Hudson-Parthasarathy stochastic equation

被引：5

作者：

Chebotarev, AM ^{[1
]}

机构：

[1] MOSCOW MV LOMONOSOV STATE UNIV,MOSCOW 117234,RUSSIA

来源：

MATHEMATICAL NOTES | 1996年 / 60卷 / 5-6期

关键词：

quantum stochastic evolution; unitary cocycle; strong resolvent limit; creation and annihilation processes; adapted and nonadapted stochastic equations;

D O I：

10.1007/BF02309169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Hudson-Parthasarathy equation corresponds, up to unitary equivalence, to the strong resolvent limit of Schrodinger Hamiltonians in Fock space and that the symmetric form of this equation corresponds to the weak limit of the Schrodinger Hamiltonians.

引用

页码：544 / 561

页数：18

共 25 条

[1]

ABERG C, 1994, 9428 I THEOR PHYS

[2]

Accardi L., 1982, Publ. Rest. Inst. Math. Sct., V18, P97

[3]

[Anonymous], SINGULAR BILINEAR FO

[4] A QUANTUM NONADAPTED ITO FORMULA AND STOCHASTIC-ANALYSIS IN FOCK SCALE [J].