A Quantum Version of Wigner's Transition State Theory

R. Schubert; H. Waalkens; S. Wiggins

doi:10.1007/s00601-009-0037-4

A Quantum Version of Wigner's Transition State Theory

R. Schubert, H. Waalkens^*, S. Wiggins

^*Corresponding author voor dit werk

Onderzoeksoutput: Article › Academic › peer review

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A quantum version of a recent realization of Wigner's transition state theory in phase space is presented. The theory developed builds on a quantum normal form which locally decouples the quantum dynamics near the transition state to any desired order in (h) over bar. This leads to an explicit algorithm to compute cumulative quantum reaction rates and the associated Gamov-Siegert resonances with high accuracy. This algorithm is very efficient since, as opposed to other approaches, it requires no quantum time propagation.

Originele taal-2	English
Pagina's (van-tot)	203-206
Aantal pagina's	4
Tijdschrift	Few-Body systems
Volume	45
Nummer van het tijdschrift	2-4
DOI's	https://doi.org/10.1007/s00601-009-0037-4
Status	Published - mei-2009
Evenement	Workshop on Critical Stability of Few-Body Quantum Systems - , Italy Duur: 10-okt.-2008 → …

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10.1007/s00601-009-0037-4Licentie: CC BY-NC

A Quantum Version of Wigner's Transition State TheoryFinal publisher's version, 161 KBLicentie: CC BY-NC

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title = "A Quantum Version of Wigner's Transition State Theory",

abstract = "A quantum version of a recent realization of Wigner's transition state theory in phase space is presented. The theory developed builds on a quantum normal form which locally decouples the quantum dynamics near the transition state to any desired order in (h) over bar. This leads to an explicit algorithm to compute cumulative quantum reaction rates and the associated Gamov-Siegert resonances with high accuracy. This algorithm is very efficient since, as opposed to other approaches, it requires no quantum time propagation.",

keywords = "PHASE-SPACE",

author = "R. Schubert and H. Waalkens and S. Wiggins",

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doi = "10.1007/s00601-009-0037-4",

language = "English",

volume = "45",

pages = "203--206",

journal = "Few-Body systems",

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note = "Workshop on Critical Stability of Few-Body Quantum Systems ; Conference date: 10-10-2008",

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AU - Schubert, R.

AU - Waalkens, H.

AU - Wiggins, S.

PY - 2009/5

Y1 - 2009/5

N2 - A quantum version of a recent realization of Wigner's transition state theory in phase space is presented. The theory developed builds on a quantum normal form which locally decouples the quantum dynamics near the transition state to any desired order in (h) over bar. This leads to an explicit algorithm to compute cumulative quantum reaction rates and the associated Gamov-Siegert resonances with high accuracy. This algorithm is very efficient since, as opposed to other approaches, it requires no quantum time propagation.

AB - A quantum version of a recent realization of Wigner's transition state theory in phase space is presented. The theory developed builds on a quantum normal form which locally decouples the quantum dynamics near the transition state to any desired order in (h) over bar. This leads to an explicit algorithm to compute cumulative quantum reaction rates and the associated Gamov-Siegert resonances with high accuracy. This algorithm is very efficient since, as opposed to other approaches, it requires no quantum time propagation.

KW - PHASE-SPACE

U2 - 10.1007/s00601-009-0037-4

DO - 10.1007/s00601-009-0037-4

M3 - Article

SN - 0177-7963

VL - 45

SP - 203

EP - 206

JO - Few-Body systems

JF - Few-Body systems

IS - 2-4

T2 - Workshop on Critical Stability of Few-Body Quantum Systems

Y2 - 10 October 2008

ER -

A Quantum Version of Wigner's Transition State Theory

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