Quasi-free quantum stochastic integrals in the plane

W. Spring; I.F. Wilde

doi:10.1016/S0034-4877(02)80005-2

Quasi-free quantum stochastic integrals in the plane

W. Spring, I.F. Wilde

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Various quantum stochastic integrals in the plane are constructed where the integrators are given by quasi-free boson or fermion creation and annihilation two-parameter processes. The resulting stochastic integrals are mutually pairwise orthogonal centred martingales obeying certain isometry relations.

Original language	English
Pages (from-to)	63-76
Journal	Reports on Mathematical Physics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/S0034-4877(02)80005-2
Publication status	Published - 2002

Keywords

quantum stochastic integrals
plane
martingales
quasi-free
isometry properties

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10.1016/S0034-4877(02)80005-2

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title = "Quasi-free quantum stochastic integrals in the plane",

abstract = "Various quantum stochastic integrals in the plane are constructed where the integrators are given by quasi-free boson or fermion creation and annihilation two-parameter processes. The resulting stochastic integrals are mutually pairwise orthogonal centred martingales obeying certain isometry relations.",

keywords = "quantum stochastic integrals, plane, martingales, quasi-free, isometry properties",

author = "W. Spring and I.F. Wilde",

note = "Original article can be found at: http://www.sciencedirect.com Copyright Polish Scientific Publishers PWN [Full text of this article is not available in the UHRA]",

year = "2002",

doi = "10.1016/S0034-4877(02)80005-2",

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T1 - Quasi-free quantum stochastic integrals in the plane

AU - Spring, W.

AU - Wilde, I.F.

N1 - Original article can be found at: http://www.sciencedirect.com Copyright Polish Scientific Publishers PWN [Full text of this article is not available in the UHRA]

PY - 2002

Y1 - 2002

N2 - Various quantum stochastic integrals in the plane are constructed where the integrators are given by quasi-free boson or fermion creation and annihilation two-parameter processes. The resulting stochastic integrals are mutually pairwise orthogonal centred martingales obeying certain isometry relations.

AB - Various quantum stochastic integrals in the plane are constructed where the integrators are given by quasi-free boson or fermion creation and annihilation two-parameter processes. The resulting stochastic integrals are mutually pairwise orthogonal centred martingales obeying certain isometry relations.

KW - quantum stochastic integrals

KW - plane

KW - martingales

KW - quasi-free

KW - isometry properties

U2 - 10.1016/S0034-4877(02)80005-2

DO - 10.1016/S0034-4877(02)80005-2

M3 - Article

VL - 49

SP - 63

EP - 76

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

IS - 1

ER -

Quasi-free quantum stochastic integrals in the plane

Abstract

Keywords

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