Study of Quantum Chaos in the Framework of Triaxial Rotator Models

J. Proskurins; K. Bavrins; A. Andrejevs; T. Krasta; J. Tambergs

doi:10.1063/1.3087121

Study of Quantum Chaos in the Framework of Triaxial Rotator Models

J. Proskurins, K. Bavrins, A. Andrejevs, T. Krasta, J. Tambergs

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Dynamical quantum chaos criteria - a perturbed wave function entropy W (Ψ _i and a fragmentation width K(pdbl _k) of basis states were studied in two cases of nuclear rigid triaxial rotator models. The first model is characterized by deformation angle γ only, while the second model depends on both quadrupole deformation parameters (β,γ). The degree of chaoticity has been determined in the studies of the dependence of criteria W(Ψ _i) and K(pdbl _k) from nuclear spin values up to I ≤ 101 for model parameters γ and (β,γ) correspondingly. The transition from librational to rotational type energy spectra has been considered for both models as well.

Original language	English
Title of host publication	CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS
Subtitle of host publication	Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics
Editors	Jan Jolie, Andreas Zilges, Nigel Warr, Andrey Blazhev
Publisher	AIP Publishing
Pages	635-636
Number of pages	2
Volume	1090
ISBN (Print)	978-0-7354-0623-0
DOIs	https://doi.org/10.1063/1.3087121
Publication status	Published - 2009
Externally published	Yes
Event	13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics - Cologne, Germany Duration: 25 Aug 2009 → 29 Aug 2009

Publication series

Name	AIP Conference Proceedings
Publisher	American Institute of Physics
ISSN (Print)	0094-243X

Conference

Conference	13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics
Country/Territory	Germany
City	Cologne
Period	25/08/09 → 29/08/09

Keywords*

Dynamical criteria
Fragmentation width of basis states
Quantum chaos
Rigid triaxial rotator models
Wave function entropy

Field of Science*

1.3 Physical sciences

Publication Type*

3.1. Articles or chapters in proceedings/scientific books indexed in Web of Science and/or Scopus database

Access to Document

10.1063/1.3087121

Cite this

Proskurins, J., Bavrins, K., Andrejevs, A., Krasta, T., & Tambergs, J. (2009). Study of Quantum Chaos in the Framework of Triaxial Rotator Models. In J. Jolie, A. Zilges, N. Warr, & A. Blazhev (Eds.), CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS: Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics (Vol. 1090, pp. 635-636). (AIP Conference Proceedings). AIP Publishing. https://doi.org/10.1063/1.3087121

Proskurins, J. ; Bavrins, K. ; Andrejevs, A. ; Krasta, T. ; Tambergs, J. / Study of Quantum Chaos in the Framework of Triaxial Rotator Models. CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS: Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics. editor / Jan Jolie ; Andreas Zilges ; Nigel Warr ; Andrey Blazhev. Vol. 1090 AIP Publishing, 2009. pp. 635-636 (AIP Conference Proceedings).

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title = "Study of Quantum Chaos in the Framework of Triaxial Rotator Models",

abstract = "Dynamical quantum chaos criteria - a perturbed wave function entropy W (Ψ i and a fragmentation width K(pdbl k) of basis states were studied in two cases of nuclear rigid triaxial rotator models. The first model is characterized by deformation angle γ only, while the second model depends on both quadrupole deformation parameters (β,γ). The degree of chaoticity has been determined in the studies of the dependence of criteria W(Ψ i) and K(pdbl k) from nuclear spin values up to I ≤ 101 for model parameters γ and (β,γ) correspondingly. The transition from librational to rotational type energy spectra has been considered for both models as well.",

keywords = "Dynamical criteria, Fragmentation width of basis states, Quantum chaos, Rigid triaxial rotator models, Wave function entropy",

author = "J. Proskurins and K. Bavrins and A. Andrejevs and T. Krasta and J. Tambergs",

year = "2009",

doi = "10.1063/1.3087121",

language = "English",

isbn = "978-0-7354-0623-0",

volume = "1090",

series = "AIP Conference Proceedings",

publisher = "AIP Publishing",

pages = "635--636",

editor = "Jan Jolie and Andreas Zilges and Nigel Warr and Andrey Blazhev",

booktitle = "CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS",

note = "13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics ; Conference date: 25-08-2009 Through 29-08-2009",

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Proskurins, J, Bavrins, K, Andrejevs, A, Krasta, T & Tambergs, J 2009, Study of Quantum Chaos in the Framework of Triaxial Rotator Models. in J Jolie, A Zilges, N Warr & A Blazhev (eds), CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS: Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics. vol. 1090, AIP Conference Proceedings, AIP Publishing, pp. 635-636, 13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics, Cologne, Germany, 25/08/09. https://doi.org/10.1063/1.3087121

Study of Quantum Chaos in the Framework of Triaxial Rotator Models. / Proskurins, J.; Bavrins, K.; Andrejevs, A.; Krasta, T.; Tambergs, J.

CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS: Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics. ed. / Jan Jolie; Andreas Zilges; Nigel Warr; Andrey Blazhev. Vol. 1090 AIP Publishing, 2009. p. 635-636 (AIP Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Dynamical quantum chaos criteria - a perturbed wave function entropy W (Ψ i and a fragmentation width K(pdbl k) of basis states were studied in two cases of nuclear rigid triaxial rotator models. The first model is characterized by deformation angle γ only, while the second model depends on both quadrupole deformation parameters (β,γ). The degree of chaoticity has been determined in the studies of the dependence of criteria W(Ψ i) and K(pdbl k) from nuclear spin values up to I ≤ 101 for model parameters γ and (β,γ) correspondingly. The transition from librational to rotational type energy spectra has been considered for both models as well.

AB - Dynamical quantum chaos criteria - a perturbed wave function entropy W (Ψ i and a fragmentation width K(pdbl k) of basis states were studied in two cases of nuclear rigid triaxial rotator models. The first model is characterized by deformation angle γ only, while the second model depends on both quadrupole deformation parameters (β,γ). The degree of chaoticity has been determined in the studies of the dependence of criteria W(Ψ i) and K(pdbl k) from nuclear spin values up to I ≤ 101 for model parameters γ and (β,γ) correspondingly. The transition from librational to rotational type energy spectra has been considered for both models as well.

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Proskurins J, Bavrins K, Andrejevs A, Krasta T, Tambergs J. Study of Quantum Chaos in the Framework of Triaxial Rotator Models. In Jolie J, Zilges A, Warr N, Blazhev A, editors, CAPTURE GAMMA‐RAY SPECTROSCOPY AND RELATED TOPICS: Proceedings of the 13th International Symposium on Capture Gamma‐Ray Spectroscopy and Related Topics. Vol. 1090. AIP Publishing. 2009. p. 635-636. (AIP Conference Proceedings). https://doi.org/10.1063/1.3087121

Study of Quantum Chaos in the Framework of Triaxial Rotator Models

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Keywords*

Field of Science*

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