Quantum stochastic operator cocycles via associated semigroups
2007 ◽
Vol 142
(3)
◽
pp. 535-556
◽
Keyword(s):
AbstractA recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give necessary and sufficient conditions for a cocycle to satisfy such an equation.
2001 ◽
Vol 04
(04)
◽
pp. 579-588
◽
2012 ◽
Vol 88
(1)
◽
pp. 17-25
◽
2005 ◽
Vol 18
(10)
◽
pp. 1149-1155
◽
1990 ◽
Vol 148
(1)
◽
pp. 263-273
◽
1991 ◽
Vol 7
(1)
◽
pp. 74-79
1990 ◽
Vol 1
(3)
◽
pp. 189-216
◽
2006 ◽
Vol 321
(2)
◽
pp. 553-568
◽