Semiclassical quantization of complex Henon-Heiles systems

被引：14

作者：

Nanayakkara, A

Abayaratne, C

机构：

[1] Inst Fundamental Studies, Kandy, Sri Lanka

[2] Univ Sri Jayewardenepura, Dept Phys, Nugegoda, Sri Lanka

来源：

PHYSICS LETTERS A | 2002年 / 303卷 / 04期

关键词：

Quantum theory;

D O I：

10.1016/S0375-9601(02)01268-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Semiclassical eigenenergies and power spectra of PT-symmetric Henon-Heiles systems are obtained by using classical trajectories in complex phase space. It was found that some of the semiclassical methods developed for real multidimensional systems are equally valid when systems are complex as well. Semiclassical results are compared with exact quantum mechanical results. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：243 / 248

页数：6

共 12 条

[1]

[Anonymous], 1960, The Mechanics of the Atom

[2] Quasi-exactly solvable quartic potential [J].

Bender, CM ;

Boettcher, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (14) :L273-L277

[3]

BENDER CM, 2001, PHYS LETT A, V311, P281

[4]

BENDER CM, 1988, PHYS REV LETT, V24, P5243

[5] Applying the linear δ expansion to the iφ3 interaction [J].

Blencowe, MP ;

Jones, HF ;

Korte, AP .

PHYSICAL REVIEW D, 1998, 57 (08) :5092-5099

[6] Schrodinger operators with complex potential but real spectrum [J].

Cannata, F ;

Junker, G ;

Trost, J .

PHYSICS LETTERS A, 1998, 246 (3-4) :219-226

[7] Unfolding the quartic oscillator [J].

Delabaere, E ;

Pham, F .

ANNALS OF PHYSICS, 1997, 261 (02) :180-218

[8]

DELEON N, 1983, J CHEM PHYS, V4005, P78

[9] Strong-coupling expansions for the PT-symmetric oscillators V(x)=a(ix)+b(ix)2+c(ix)3 [J].

Fernández, FM ;

Guardiola, R ;

Ros, J ;

Znojil, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (50) :10105-10112

[10]

NANAYAKKARA A, IN PRESS CAN J PHYS

← 1 2 →