Studies of phase transitions and quantum chaos relationships in extended Casten triangle of IBM-1

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

doi:10.1134/S1063778806070246

Studies of phase transitions and quantum chaos relationships in extended Casten triangle of IBM-1

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

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

4 Citations (Scopus)

Abstract

A precise solution of the classical energy functional E(N, η, χ; β) minimum problem with respect to deformation parameter β is obtained for the simplified Casten version of the standard interacting boson model (IBM-1) Hamiltonian. The first-order phase transition lines as well as the critical points of X(5), -X(5), and E(5) symmetries are considered. The dynamical criteria of quantum chaos-the basis state fragmentation width and the wave function entropy-are studied for the (η, χ) parameter space of the extended Casten triangle, and the possible relationships between these criteria and phase transition lines are discussed.

Original language	English
Pages (from-to)	1248-1253
Number of pages	6
Journal	Physics of Atomic Nuclei
Volume	69
Issue number	7
DOIs	https://doi.org/10.1134/S1063778806070246
Publication status	Published - Jul 2006
Externally published	Yes

Field of Science*

1.3 Physical sciences

Publication Type*

1.1. Scientific article indexed in Web of Science and/or Scopus database

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10.1134/S1063778806070246

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abstract = "A precise solution of the classical energy functional E(N, η, χ; β) minimum problem with respect to deformation parameter β is obtained for the simplified Casten version of the standard interacting boson model (IBM-1) Hamiltonian. The first-order phase transition lines as well as the critical points of X(5), -X(5), and E(5) symmetries are considered. The dynamical criteria of quantum chaos-the basis state fragmentation width and the wave function entropy-are studied for the (η, χ) parameter space of the extended Casten triangle, and the possible relationships between these criteria and phase transition lines are discussed.",

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

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AU - Andrejevs, A.

AU - Krasta, T.

AU - Tambergs, J.

PY - 2006/7

Y1 - 2006/7

N2 - A precise solution of the classical energy functional E(N, η, χ; β) minimum problem with respect to deformation parameter β is obtained for the simplified Casten version of the standard interacting boson model (IBM-1) Hamiltonian. The first-order phase transition lines as well as the critical points of X(5), -X(5), and E(5) symmetries are considered. The dynamical criteria of quantum chaos-the basis state fragmentation width and the wave function entropy-are studied for the (η, χ) parameter space of the extended Casten triangle, and the possible relationships between these criteria and phase transition lines are discussed.

AB - A precise solution of the classical energy functional E(N, η, χ; β) minimum problem with respect to deformation parameter β is obtained for the simplified Casten version of the standard interacting boson model (IBM-1) Hamiltonian. The first-order phase transition lines as well as the critical points of X(5), -X(5), and E(5) symmetries are considered. The dynamical criteria of quantum chaos-the basis state fragmentation width and the wave function entropy-are studied for the (η, χ) parameter space of the extended Casten triangle, and the possible relationships between these criteria and phase transition lines are discussed.

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JO - Physics of Atomic Nuclei

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ER -

Studies of phase transitions and quantum chaos relationships in extended Casten triangle of IBM-1

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