Real spectra in non-Hermitian Hamiltonians having PT symmetry

被引：5344

作者：

Bender, CM ^{[1
]}

Boettcher, S

机构：

[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Clark Atlanta Univ, CTSPS, Atlanta, GA 30314 USA

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.80.5243

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of PT symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These PT symmetric theories may be viewed as analytic continuations of conventional theories from real to complex phase space. This paper describes the unusual classical and quantum properties of these theories.

引用

页码：5243 / 5246

页数：4

共 11 条

[1]

Bender C.M., 1978, Advanced mathematical methods for scientists and engineers

[2] ANALYTIC CONTINUATION OF EIGENVALUE PROBLEMS [J].