Kümmerer-Maassen-scattering theory and entanglement

Rolf Gohm

doi:10.1142/S0219025704001566

Kümmerer-Maassen-scattering theory and entanglement

Rolf Gohm^*

^*Awdur cyfatebol y gwaith hwn

Mathemateg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

3 Dyfyniadau (Scopus)

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We give a new criterion for asymptotic completeness in Kümmerer- Maassen-scattering theory which is more directly in terms of the coupling. To this end we define the semigroup of dual extended transition operators. Asymptotic completeness holds if and only if this semigroup is ergodic. This may also be interpreted in terms of entanglement.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	271-279
Nifer y tudalennau	9
Cyfnodolyn	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Cyfrol	7
Rhif cyhoeddi	2
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1142/S0219025704001566
Statws	Cyhoeddwyd - Meh 2004

Mynediad at Ddogfen

10.1142/S0219025704001566

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

Dyfynnu hyn

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title = "K{\"u}mmerer-Maassen-scattering theory and entanglement",

abstract = "We give a new criterion for asymptotic completeness in K{\"u}mmerer- Maassen-scattering theory which is more directly in terms of the coupling. To this end we define the semigroup of dual extended transition operators. Asymptotic completeness holds if and only if this semigroup is ergodic. This may also be interpreted in terms of entanglement.",

keywords = "Absorbing state, Entanglement, Scattering, Transition operator",

author = "Rolf Gohm",

year = "2004",

month = jun,

doi = "10.1142/S0219025704001566",

language = "English",

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AB - We give a new criterion for asymptotic completeness in Kümmerer- Maassen-scattering theory which is more directly in terms of the coupling. To this end we define the semigroup of dual extended transition operators. Asymptotic completeness holds if and only if this semigroup is ergodic. This may also be interpreted in terms of entanglement.

KW - Absorbing state

KW - Entanglement

KW - Scattering

KW - Transition operator

UR - http://www.scopus.com/inward/record.url?scp=7444238148&partnerID=8YFLogxK

U2 - 10.1142/S0219025704001566

DO - 10.1142/S0219025704001566

M3 - Article

AN - SCOPUS:7444238148

SN - 0219-0257

VL - 7

SP - 271

EP - 279

JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics

JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

IS - 2

ER -

Kümmerer-Maassen-scattering theory and entanglement

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