QUANTIZING A SELF-TRAPPING TRANSITION

被引：28

作者：

BERNSTEIN, LJ ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,INST NONLINEAR SCI,LA JOLLA,CA 92093

来源：

PHYSICA D | 1993年 / 68卷 / 01期

基金：

美国能源部; 美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(93)90043-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stationary state energy levels of the quantum discrete self-trapping equation (DST) dimer are computed numerically and estimated analytically. Quantum-mechanical manifestations of a self-trapping transition that occurs in the corresponding classical DST dimer are found in both quantum energy levels and quantum wavefunctions. The work is motivated by applications of the DST equation as a model for local vibrational modes in polyatomic molecules.

引用

页码：174 / 179

页数：6

共 14 条

[1] THE QUANTUM-THEORY OF LOCAL MODES IN A COUPLED SYSTEM OF NONLINEAR OSCILLATORS [J].

BERNSTEIN, L ;

EILBECK, JC ;

SCOTT, AC .

NONLINEARITY, 1990, 3 (02) :293-323

[2] CLASSICAL AND QUANTUM ANALYSIS OF CHAOS IN THE DISCRETE SELF-TRAPPING EQUATION [J].

CRUZEIROHANSSON, L ;

FEDDERSEN, H ;

FLESCH, R ;

CHRISTIANSEN, PL ;

SALERNO, M ;

SCOTT, AC .

PHYSICAL REVIEW B, 1990, 42 (01) :522-526

[3] A GENERALIZED DISCRETE SELF-TRAPPING EQUATION AS A MODEL FOR QUANTUM CHAOLOGY [J].

DEFILIPPO, S ;

SALERNO, M .

PHYSICS LETTERS A, 1989, 142 (8-9) :479-482

[4] LOCAL VERSUS HYPERSPHERICAL MODES OF WATER AND FORMALDEHYDE - EFFECT OF MOLECULAR COMPLEXITY ON MODE-SELECTIVE STRUCTURES AND DYNAMICS [J].

HARTKE, B ;

JANZA, AE ;

KARRLEIN, W ;

MANZ, J ;

MOHAN, V ;

SCHREIER, HJ .

JOURNAL OF CHEMICAL PHYSICS, 1992, 96 (05) :3569-3584

[5] NEW ASSIGNMENT OF VIBRATIONAL-SPECTRA OF MOLECULES WITH THE NORMAL-TO-LOCAL MODES TRANSITION [J].

KELLMAN, ME ;

XIAO, L .

CHEMICAL PHYSICS LETTERS, 1989, 162 (06) :486-490

[6] OPTIMAL-CONTROL OF NONLINEAR CLASSICAL-SYSTEMS WITH APPLICATION TO UNIMOLECULAR DISSOCIATION REACTIONS AND CHAOTIC POTENTIALS [J].

SCHWIETERS, CD ;

RABITZ, H .

PHYSICAL REVIEW A, 1991, 44 (08) :5224-5238

[7]

SCOTT A C, 1989, Journal of Biological Physics, V17, P1, DOI 10.1007/BF00393323

[8] A NONRESONANT DISCRETE SELF-TRAPPING SYSTEM [J].

SCOTT, AC .

PHYSICA SCRIPTA, 1990, 42 (01) :14-18

[9] THE QUANTIZED DISCRETE SELF-TRAPPING EQUATION [J].

SCOTT, AC ;

EILBECK, JC .

PHYSICS LETTERS A, 1986, 119 (02) :60-64

[10] ON THE CH STRETCH OVERTONES OF BENZENE [J].

SCOTT, AC ;

EILBECK, JC .

CHEMICAL PHYSICS LETTERS, 1986, 132 (01) :23-28

← 1 2 →