Peer-Reviewed Journal Details
Mandatory Fields
Lindsay, J. Martin; Wills, Stephen J. ;
2006
January
Proceedings of The Indian Academy of Sciences: Mathematical Sciences
Construction of some quantum stochastic operator cocycles by the semigroup method.
Published
()
Optional Fields
Quantum stochastic operator cocycles; semigroups; Trotter-Kato; limits of cocycles; borth and death process; inverse harmonic oscillator; coupled oscillators.
116
4
519
529
A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter–Kato theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.
https://doi.org/10.1007/BF02829707
Grant Details