SYMMETRIES AND TIME EVOLUTION IN DISCRETE PHASE SPACES - A SOLUBLE MODEL CALCULATION

被引：32

作者：

GALETTI, D ^{[1
]}

PIZA, AFR ^{[1
]}

机构：

[1] UNIV SAO PAULO,INST FIS,BR-01452900 SAO PAULO,BRAZIL

来源：

PHYSICA A | 1995年 / 214卷 / 02期

关键词：

D O I：

10.1016/0378-4371(94)00265-U

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the flexibility and constructive definition of the Schwinger bases, we developed different mapping procedures to enhance different aspects of the dynamics and of the symmetries of an extended version of the two-level Lipkin model. The classical limits of the dynamics are discussed in connection with the different mappings. Discrete Wigner functions are also calculated.

引用

页码：207 / 228

页数：22

共 18 条

[1]

[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]

[2] WIGNER FUNCTION AND OTHER DISTRIBUTION-FUNCTIONS IN MOCK PHASE SPACES [J].

BALAZS, NL ;

JENNINGS, BK .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 104 (06) :347-391

[3]

DEGROOT SR, 1972, F ELECTRODYNAMICS, pCHRL

[4] AN EXTENDED WEYL-WIGNER TRANSFORMATION FOR SPECIAL FINITE SPACES [J].

GALETTI, D ;

PIZA, AFRD .

PHYSICA A, 1988, 149 (1-2) :267-282

[5] DISCRETE QUANTUM PHASE SPACES AND THE MOD-N INVARIANCE [J].

GALETTI, D ;

PIZA, AFRT .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 186 (3-4) :513-523

[6]

GOLDSTEIN H, 1970, CLASSICAL MECHANICS, pCH8

[7]

Hannay J. H., 1980, Physica D, V1D, P267, DOI 10.1016/0167-2789(80)90026-3

[8] DISTRIBUTION-FUNCTIONS IN PHYSICS - FUNDAMENTALS [J].

HILLERY, M ;

OCONNELL, RF ;

SCULLY, MO ;

WIGNER, EP .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 106 (03) :121-167

[9] VALIDITY OF MANY-BODY APPROXIMATION METHODS FOR A SOLVABLE MODEL .I. EXACT SOLUTIONS AND PERTURBATION THEORY [J].

LIPKIN, HJ ;

MESHKOV, N ;

GLICK, AJ .

NUCLEAR PHYSICS, 1965, 62 (02) :188-&

[10] QUANTUM MECHANICS AS A STATISTICAL THEORY [J].

MOYAL, JE .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1949, 45 (01) :99-124

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