Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators

被引：21

作者：

Caliceti, Emanuela ^{[1
]}

Graffi, Sandro ^{[1
]}

Hitrik, Michael ^{[2
]}

Sjoestrand, Johannes ^{[3
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[3] Univ Bourgogne, IMB, CNRS UMR 5584 9, FR-21078 Dijon, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 44期

关键词：

NON-DIAGONALIZABLE HAMILTONIANS; NON-HERMITIAN HAMILTONIANS; PSEUDO-HERMITICITY; QUANTUM-MECHANICS; RESONANCES;

D O I：

10.1088/1751-8113/45/44/444007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is established that a PT-symmetric elliptic quadratic differential operator with real spectrum is similar to a self-adjoint operator precisely when the associated fundamental matrix has no Jordan blocks.

引用

页数：20

共 31 条

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