Pseudo-Hermitian potential models with PT symmetry

被引:48
作者
Jia, CS [1 ]
Li, SC
Li, Y
Sun, LT
机构
[1] SW Petr Inst, State Key Lab Oil & Gas Reservoir Geol & Exploita, Nanchong, Peoples R China
[2] Educ Coll Nanchong, Dept Phys, Nanchong 637000, Peoples R China
关键词
PT symmetry; pseudo-Hermiticity; energy eigenvalue;
D O I
10.1016/S0375-9601(02)00826-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Complexfying a five-parameter exponential-type potential with shape invariance, we obtain the generalized complex versions of the Rosen-Morse well, Scarf, Eckart and the generalized Poschl-Teller potentials. It has been shown that theses generalized complex versions are P-pseudo-Hermitian and PT-symmetric. For the former two complex potentials, the parity operator P acts on the position operator as P x P-1 = lnq/alpha - x, and P acts as P x P-1 = -x for the latter two complex potentials. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:115 / 121
页数:7
相关论文
共 39 条
[21]  
GENDENSHTEIN LE, 1983, JETP LETT+, V38, P356
[22]   Space of state vectors in PT-symmetric quantum mechanics [J].
Japaridze, GS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (07) :1709-1718
[23]   A unified recurrence operator method for obtaining normalized explicit wavefunctions for shape-invariant potentials [J].
Jia, CS ;
Wang, XG ;
Yao, XK ;
Chen, PC ;
Xiao, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (20) :4763-4772
[24]  
Jia CS, 2002, COMMUN THEOR PHYS, V37, P523
[25]   PT symmetry and shape invariance for a potential well with a barrier [J].
Jia, CS ;
Zeng, XL ;
Sun, LT .
PHYSICS LETTERS A, 2002, 294 (3-4) :185-189
[26]  
Jia CS, 2001, COMMUN THEOR PHYS, V36, P641
[27]   A new η-pseudo-Hermitian complex potential with PT symmetry [J].
Jia, CS ;
Lin, PY ;
Sun, LT .
PHYSICS LETTERS A, 2002, 298 (2-3) :78-82
[28]   A PT-invariant potential with complex QES eigenvalues [J].
Khare, A ;
Mandal, BP .
PHYSICS LETTERS A, 2000, 272 (1-2) :53-56
[29]  
KRETSCHMER GS, QUANTPH0105054
[30]   Systematic search for PT-symmetric potentials with real energy spectra [J].
Lévai, G ;
Znojil, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (40) :7165-7180