Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups

Changsoo Bahn; Chul K.I. Ko; Yong Moon Park

doi:10.1142/S0129055X05002418

Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups

Changsoo Bahn, Chul K.I. Ko, Yong Moon Park

University College

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

2 Citations (Scopus)

Abstract

We have obtained sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [1], Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. In order to show that our conditions are useful, we apply our results to concrete examples (models of heavy ion collision and noncommutative elliptic operators).

Original language	English
Pages (from-to)	745-768
Number of pages	24
Journal	Reviews in Mathematical Physics
Volume	17
Issue number	7
DOIs	https://doi.org/10.1142/S0129055X05002418
Publication status	Published - 2005 Aug

Bibliographical note

Funding Information:
The authors would like to thank their anonymous referees for suggestions made for the improvement of the paper. This work was supported by the Korea Research Foundation Grant (KRF-2003-005-C00010).

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X05002418

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abstract = "We have obtained sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [1], Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. In order to show that our conditions are useful, we apply our results to concrete examples (models of heavy ion collision and noncommutative elliptic operators).",

keywords = "Criterion for conservativity, Lindblad operators, Noncommutative elliptic operators, Quantum dynamical semigroups",

author = "Changsoo Bahn and Ko, {Chul K.I.} and Park, {Yong Moon}",

note = "Funding Information: The authors would like to thank their anonymous referees for suggestions made for the improvement of the paper. This work was supported by the Korea Research Foundation Grant (KRF-2003-005-C00010).",

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doi = "10.1142/S0129055X05002418",

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AU - Bahn, Changsoo

AU - Ko, Chul K.I.

AU - Park, Yong Moon

N1 - Funding Information: The authors would like to thank their anonymous referees for suggestions made for the improvement of the paper. This work was supported by the Korea Research Foundation Grant (KRF-2003-005-C00010).

PY - 2005/8

Y1 - 2005/8

N2 - We have obtained sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [1], Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. In order to show that our conditions are useful, we apply our results to concrete examples (models of heavy ion collision and noncommutative elliptic operators).

AB - We have obtained sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [1], Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. In order to show that our conditions are useful, we apply our results to concrete examples (models of heavy ion collision and noncommutative elliptic operators).

KW - Criterion for conservativity

KW - Lindblad operators

KW - Noncommutative elliptic operators

KW - Quantum dynamical semigroups

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JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 7

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Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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