Energy level statistics in particle-rotor model

Xian Rong Zhou; Lu Guo; Jie Meng; En Guang Zhao

doi:10.1088/0253-6102/37/5/583

Energy level statistics in particle-rotor model

Xian Rong Zhou^*
, Lu Guo
, Jie Meng
, En Guang Zhao

^*Corresponding author for this work

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

5 Scopus citations

Abstract

Energy level statistics of a system consisting of six particles interacting by delta force in a two-j model coupled with a deformed core is studied in particle-rotor model. For single-j shell (i_13/2) and two-j shell (g_7/2 + d_5/2) the exact energies for our statistical analysis are obtained from a full diagonalization of the Hamiltonian, while in two-j case (i_13/2 + g_9/2) the configuration truncation is used. The nearest-neighbor distribution of energy levels and spectral rigidity are studied as the function of spin. The results of single-j shell are compared with those in two-j case. It is showed that the system becomes more regular when single-j space (i_13/2) is replaced by two-j shell (g_7/2 + d_5/2) although the basis size of the configuration space is unchanged. The degree of chaoticity of the system, however, changes slightly when configuration space is enlarged by extending single-j shell (i_13/2) to two-j shell (i_13/2 + g_9/2).

Original language	English
Pages (from-to)	583-588
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	37
Issue number	5
DOIs	https://doi.org/10.1088/0253-6102/37/5/583
State	Published - 15 May 2002
Externally published	Yes

Keywords

Particle-rotor model
Spectral rigidity
Spectral statistics
The nearest-neighbor distribution

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10.1088/0253-6102/37/5/583

Cite this

@article{90217278271e4977bf334957ea91603c,

title = "Energy level statistics in particle-rotor model",

abstract = "Energy level statistics of a system consisting of six particles interacting by delta force in a two-j model coupled with a deformed core is studied in particle-rotor model. For single-j shell (i13/2) and two-j shell (g7/2 + d5/2) the exact energies for our statistical analysis are obtained from a full diagonalization of the Hamiltonian, while in two-j case (i13/2 + g9/2) the configuration truncation is used. The nearest-neighbor distribution of energy levels and spectral rigidity are studied as the function of spin. The results of single-j shell are compared with those in two-j case. It is showed that the system becomes more regular when single-j space (i13/2) is replaced by two-j shell (g7/2 + d5/2) although the basis size of the configuration space is unchanged. The degree of chaoticity of the system, however, changes slightly when configuration space is enlarged by extending single-j shell (i13/2) to two-j shell (i13/2 + g9/2).",

keywords = "Particle-rotor model, Spectral rigidity, Spectral statistics, The nearest-neighbor distribution",

author = "Zhou, \{Xian Rong\} and Lu Guo and Jie Meng and Zhao, \{En Guang\}",

year = "2002",

month = may,

day = "15",

doi = "10.1088/0253-6102/37/5/583",

language = "英语",

volume = "37",

pages = "583--588",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

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}

TY - JOUR

T1 - Energy level statistics in particle-rotor model

AU - Zhou, Xian Rong

AU - Guo, Lu

AU - Meng, Jie

AU - Zhao, En Guang

PY - 2002/5/15

Y1 - 2002/5/15

N2 - Energy level statistics of a system consisting of six particles interacting by delta force in a two-j model coupled with a deformed core is studied in particle-rotor model. For single-j shell (i13/2) and two-j shell (g7/2 + d5/2) the exact energies for our statistical analysis are obtained from a full diagonalization of the Hamiltonian, while in two-j case (i13/2 + g9/2) the configuration truncation is used. The nearest-neighbor distribution of energy levels and spectral rigidity are studied as the function of spin. The results of single-j shell are compared with those in two-j case. It is showed that the system becomes more regular when single-j space (i13/2) is replaced by two-j shell (g7/2 + d5/2) although the basis size of the configuration space is unchanged. The degree of chaoticity of the system, however, changes slightly when configuration space is enlarged by extending single-j shell (i13/2) to two-j shell (i13/2 + g9/2).

AB - Energy level statistics of a system consisting of six particles interacting by delta force in a two-j model coupled with a deformed core is studied in particle-rotor model. For single-j shell (i13/2) and two-j shell (g7/2 + d5/2) the exact energies for our statistical analysis are obtained from a full diagonalization of the Hamiltonian, while in two-j case (i13/2 + g9/2) the configuration truncation is used. The nearest-neighbor distribution of energy levels and spectral rigidity are studied as the function of spin. The results of single-j shell are compared with those in two-j case. It is showed that the system becomes more regular when single-j space (i13/2) is replaced by two-j shell (g7/2 + d5/2) although the basis size of the configuration space is unchanged. The degree of chaoticity of the system, however, changes slightly when configuration space is enlarged by extending single-j shell (i13/2) to two-j shell (i13/2 + g9/2).

KW - Particle-rotor model

KW - Spectral rigidity

KW - Spectral statistics

KW - The nearest-neighbor distribution

UR - https://www.scopus.com/pages/publications/0035997693

U2 - 10.1088/0253-6102/37/5/583

DO - 10.1088/0253-6102/37/5/583

M3 - 文章

AN - SCOPUS:0035997693

SN - 0253-6102

VL - 37

SP - 583

EP - 588

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 5

ER -

Energy level statistics in particle-rotor model

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Keywords

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