Real spectra in non-Hermitian Hamiltonians having PT symmetry
Real spectra in non-Hermitian Hamiltonians having PT symmetry
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DOI：
10.1103/physrevlett.80.5243
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发表时间：
1998-06-15
影响因子：
8.6
通讯作者：
Boettcher, S
中科院分区：
文献类型：
--
作者：
Bender, CM;Boettcher, S
自伴随条件保证了哈密顿函数的特征值是实数且有界的。用PT对称的弱条件代替这个条件，得到了新的无穷类复哈密顿量，它们的谱也是实正的。这些PT对称理论可以看作是传统理论从实相空间到复相空间的解析延拓。本文描述了这些理论不同寻常的经典和量子特性。
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.