# Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space

Alexander Chebotarev; Dmitry Victorov

Banach Center Publications (1998)

- Volume: 43, Issue: 1, page 119-133
- ISSN: 0137-6934

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topChebotarev, Alexander, and Victorov, Dmitry. "Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space." Banach Center Publications 43.1 (1998): 119-133. <http://eudml.org/doc/208831>.

@article{Chebotarev1998,

abstract = {By using F. A. Berezin's canonical transformation method [5], we derive a nonadapted quantum stochastic differential equation (QSDE) as an equation for the strong limit of the family of unitary groups satisfying the Schrödinger equation with singularly degenerating Hamiltonians in Fock space. Stochastic differentials of QSDE generate a nonadapted associative Ito multiplication table, and the coefficients of these differentials satisfy the formal unitarity conditions of the Hudson-Parthasarathy type [10].},

author = {Chebotarev, Alexander, Victorov, Dmitry},

journal = {Banach Center Publications},

keywords = {stochastic processes; Fock space; Schrödinger’s equation; non-adapted quantum stochastic differential equation; strongly degenerating Hamiltonians; differentials},

language = {eng},

number = {1},

pages = {119-133},

title = {Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space},

url = {http://eudml.org/doc/208831},

volume = {43},

year = {1998},

}

TY - JOUR

AU - Chebotarev, Alexander

AU - Victorov, Dmitry

TI - Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space

JO - Banach Center Publications

PY - 1998

VL - 43

IS - 1

SP - 119

EP - 133

AB - By using F. A. Berezin's canonical transformation method [5], we derive a nonadapted quantum stochastic differential equation (QSDE) as an equation for the strong limit of the family of unitary groups satisfying the Schrödinger equation with singularly degenerating Hamiltonians in Fock space. Stochastic differentials of QSDE generate a nonadapted associative Ito multiplication table, and the coefficients of these differentials satisfy the formal unitarity conditions of the Hudson-Parthasarathy type [10].

LA - eng

KW - stochastic processes; Fock space; Schrödinger’s equation; non-adapted quantum stochastic differential equation; strongly degenerating Hamiltonians; differentials

UR - http://eudml.org/doc/208831

ER -

## References

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