From PT-symmetric quantum mechanics to conformal field theory

被引：0

作者：

Dorey, Patrick ^{[3
]}

Dunning, Clare ^{[4
]}

Tateo, Roberto ^{[1
,2
]}

机构：

[1] Univ Turin, Dip Fis Teor, I-10125 Turin, Italy

[2] Univ Turin, Ist Nazl Fis Nucl, I-10125 Turin, Italy

[3] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

[4] Univ Kent, IMSAS, Canterbury CT2 7NF, Kent, England

来源：

PRAMANA-JOURNAL OF PHYSICS | 2009年 / 73卷 / 02期

关键词：

Parity; time-reversal; PT symmetry; integrable models; quantum mechanics; LEE EDGE SINGULARITY; THERMODYNAMIC BETHE-ANSATZ; NON-HERMITIAN HAMILTONIANS; ANHARMONIC-OSCILLATORS; INTEGRABLE STRUCTURE; PSEUDO-HERMITICITY; SCALING FUNCTIONS; REALITY; EQUIVALENCE; EIGENVALUES;

D O I：

10.1007/s12043-009-0114-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

One of the simplest examples of a PT-symmetric quantum system is the scaling Yang-Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in d <= 2 dimensions, from its original definition in connection with phase transitions in the Ising model and its relevance to polymer physics, to the role it has played in studies of integrable quantum field theory and PT-symmetric quantum mechanics. We also discuss some more general results on PT-symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.

引用

页码：217 / 239

页数：23

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