Eigenvalues of complex Hamiltonians with PT-symmetry. I

被引：107

作者：

Delabaere, E ^{[1
]}

Pham, F ^{[1
]}

机构：

[1] Univ Nice, CNRS, UMR 6621, Math Lab, F-06108 Nice 2, France

来源：

PHYSICS LETTERS A | 1998年 / 250卷 / 1-3期

关键词：

complex WKB method; exact quantization conditions; resummability of Rayleigh-Schrodinger series;

D O I：

10.1016/S0375-9601(98)00791-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the "exact WKB method" [E. Delabaere et al., J. Math. Phys. 38 (1997) 6126], we prove some reality results on the spectrum of some families of non-Hermitian Hamiltonians having PI-symmetry. This partially solves a conjecture of Zinn-Justin and Bessis. In part II [Phys. Lett. A 250 (1998) 29] we will prove non-reality results for other such families. (C) 1998 Elsevier Science B.V.

引用

页码：25 / 28

页数：4

共 4 条

[1] Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].

Bender, CM ;

Boettcher, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246

[2] ANHARMONIC OSCILLATOR [J].

BENDER, CM ;

WU, TT .

PHYSICAL REVIEW, 1969, 184 (05) :1231-&

[3] Unfolding the quartic oscillator [J].

Delabaere, E ;

Pham, F .

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

[4] Exact semiclassical expansions for one-dimensional quantum oscillators [J].

Delabaere, E ;

Dillinger, H ;

Pham, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (12) :6126-6184

← 1 →