Coherent states and nonlinear dynamics of the three state quasi-spin model with soliton solutions

被引：4

作者：

Agüero, M ^{[1
]}

Alvarado, R

Frias, M

机构：

[1] Univ Autonoma Estado Mexico, Fac Ciencias, Inst Literario 100, Toluca 5000, Mexico

[2] Univ Autonoma Zacatecas, Ctr Estudios Multidisciplinarios, Zacatecas 98070, Mexico

来源：

PHYSICA D | 1998年 / 123卷 / 1-4期

关键词：

lattice model; solitons; nonlinear dynamics; phase transitions;

D O I：

10.1016/S0167-2789(98)00142-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the generalized coherent states defined as points of the coset space SU(2)/U(1) are used as trial wave functions in order to study the quasi-spin model of the nonlinear phi(6)-theory. In the simple version of the quasi-classical theory deduced from this method a complete integrable system is obtained. In a general context, the ground state and linear spectrum of the nonlinear lattice equation were evaluated. Finally, by analyzing the effective potential, the first and second order phase transitions are shown to exist. Copyright (C) 1998 Elsevier Science B.V.

引用

页码：448 / 459

页数：12

共 13 条

[1]

AGUERO M, 1993, PHYS LETT A, V182, P294

[2] FIELD-THEORY WITH PHI-4 AND PHI-6 SELF-INTERACTION [J].

BOYANOVSKY, D ;

MASPERI, L .

PHYSICAL REVIEW D, 1980, 21 (06) :1550-1556

[3] SOLITON COLLISION AND SOLITON FUSION IN DISPERSIVE MATERIALS WITH A LINEAR AND QUADRATIC INTENSITY DEPENDING REFRACTION INDEX CHANGE [J].

GATZ, S ;

HERRMANN, J .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 1992, 28 (07) :1732-1738

[4] QUANTUM THEORY OF OPTICAL COHERENCE [J].

GLAUBER, RJ .

PHYSICAL REVIEW, 1963, 130 (06) :2529-&

[5]

KARTAVENKO VG, 1984, SOV J NUCL PHYS+, V40, P240

[6]

Klauder J. R., 1985, COHERENT STATES APPL, DOI 10.1142/0096

[7] Generalized coherent states and spin S>=1 systems [J].

Makhankov, VG ;

Granados, MA ;

Makhankov, AV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (12) :3005-3019

[8]

Makhankov VG., 1990, Soliton Phenomenology, DOI [10.1007/978-94-009-2217-4, DOI 10.1007/978-94-009-2217-4]

[9] SOLITONIC BUBBLES AND PHASE-TRANSITIONS [J].

MASPERI, L .

PHYSICAL REVIEW D, 1990, 41 (10) :3263-3266

[10]

Perelomov A., 1986, GEN COHERENT STATES

← 1 2 →