PSEUDO-BOSONS, SO FAR

被引：14

作者：

Bagarello, F. ^{[1
]}

机构：

[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2011年 / 68卷 / 02期

关键词：

extended CCR (canonical commutation relations); biorthogonal bases; pseudo-hermitian operators; QUANTIZATION; OSCILLATOR; STATISTICS;

D O I：

10.1016/S0034-4877(12)60004-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the past years several extensions of the canonical commutation relations have been proposed by different people in different contexts and some interesting physics and mathematics have been deduced. Here, we review some recent results on the so-called pseudo-bosons. They arise from a special deformation of the canonical commutation relation [a, a dagger] = II, which is replaced by [a, b.] = II, with b not necessarily equal to at. We start discussing some of their mathematical properties and then we discuss several examples.

引用

页码：175 / 210

页数：36

共 41 条

[1] Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry [J].