Quantum chaos in the nuclear collective model. II. Peres lattices

被引：30

作者：

Stransky, Pavel ^{[1
]}

Hruska, Petr ^{[1
]}

Cejnar, Pavel ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Inst Particle & Nucl Phys, CR-18000 Prague, Czech Republic

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 06期

关键词：

chaos; eigenvalues and eigenfunctions; geometry; nuclear collective model; SPIN CLUSTERS; TRANSITION; SPECTRA;

D O I：

10.1103/PhysRevE.79.066201

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This is a continuation of our paper [Phys. Rev. E 79, 046202 (2009)] devoted to signatures of quantum chaos in the geometric collective model of atomic nuclei. We apply the method by Peres to study ordered and disordered patterns in quantum spectra drawn as lattices in the plane of energy vs average of a chosen observable. Good qualitative agreement with standard measures of chaos is manifested. The method provides an efficient tool for studying structural changes in eigenstates across quantum spectra of general systems.

引用

页数：11

共 50 条

[21] Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model. II. Nuclear spin and isospin excitations
Paar, N
Niksic, T
Vretenar, D
Ring, P
PHYSICAL REVIEW C, 2004, 69 (05): : 054303 - 1
[22] Affine symmetry in mechanics of collective and internal modes Part II. Quantum models
Slawianowski, JJ
Kovalchuk, V
Slawianowska, A
Golubowska, B
Martens, A
Rozko, EE
Zawistowski, ZJ
REPORTS ON MATHEMATICAL PHYSICS, 2005, 55 (01) : 1 - 46
[23] A nonlinear age and maturity structured model of population dynamics - II. Chaos
Dyson, J
Villella-Bressan, R
Webb, G
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 242 (02) : 255 - 270
[24] KINETICS OF THE ZINC SLAG-FUMING PROCESS: PART II. MATHEMATICAL MODEL.
Richards, G.G.
Brimacombe, J.K.
Metallurgical transactions. B, Process metallurgy, 1985, 16 B (03): : 529 - 540
[25] The taste of ethanol in a primate model.: II.: Glossopharyngeal nerve response in Macaca mulatta
Danilova, V
Hellekant, G
ALCOHOL, 2000, 21 (03) : 259 - 269
[26] Qualitative analysis of the oxygen atmospheric model. II. The source-sink pairs
Gordov, E.P.
Fazliev, A.Z.
Atmospheric and Oceanic Optics(English Edition of the Journal Optika Atmosfery i Okeana), 1995, 8 (09):
[27] Light quarks in the screened dyon-antidyon Coulomb liquid model. II.
Liu, Yizhuang
Shuryak, Edward
Zahed, Ismail
PHYSICAL REVIEW D, 2015, 92 (08):
[28] Consistent kinetic-continuum dissociation model. II. Continuum formulation and verification
Singh, Narendra
Schwartzentruber, Thomas
JOURNAL OF CHEMICAL PHYSICS, 2020, 152 (22): : 224303
[29] LATTICE DYNAMICS OF BLACK PHOSPHORUS. II. ADIABATIC BOND CHARGE MODEL.
Kaneta, Chioko
Morita, Akira
Journal of the Physical Society of Japan, 1986, 55 (04) : 1224 - 1232
[30] Semiempirical, squeeze flow, and intermolecular diffusion model. II. Model verification using laser microwelding
Grewell, David
Benatar, Avraham
POLYMER ENGINEERING AND SCIENCE, 2008, 48 (08): : 1542 - 1549

← 1 2 3 4 5 →