Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators

Changsoo Bahn, Chul Ki Ko, Yong Moon Park

Research output: Contribution to journalArticle

Abstract

We study quantum dynamical semigroups generated by noncommutative unbounded elliptic operators which can be written as Lindblad-type unbounded generators. Under appropriate conditions, we first construct the minimal quantum dynamical semigroups for the generators and then use Chebotarev and Fagnola's sufficient conditions for conservativity [1] to show that the semigroups are conservative. We then apply our results to a quantum mechanical system.

Original languageEnglish
Pages (from-to)595-617
Number of pages23
JournalReviews in Mathematical Physics
Volume18
Issue number6
DOIs
Publication statusPublished - 2006 Jul 1

Fingerprint

Quantum Dynamical Semigroup
Unbounded Operators
Elliptic Operator
generators
Generator
operators
Mechanical Systems
Quantum Systems
Semigroup
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators. / Bahn, Changsoo; Ko, Chul Ki; Park, Yong Moon.

In: Reviews in Mathematical Physics, Vol. 18, No. 6, 01.07.2006, p. 595-617.

Research output: Contribution to journalArticle

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