Some invariant biorthogonal sets with an application to coherent states

被引：0
|
作者：
Bagarello, F. [1 ,2 ]
Triolo, S. [1 ]
机构：
[1] Univ Palermo, DEIM Dipartimento Energia Ingn Informaz & Modelli, Fac Ingn, I-90128 Palermo, Italy
[2] Ist Nazl Fis Nucl, I-10125 Turin, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 415卷 / 01期
关键词：
Coherent states; Biorthogonal sets; HAMILTONIANS;
D O I：
10.1016/j.jmaa.2014.01.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show how to construct, out of a certain basis invariant under the action of one or more unitary operators, a second biorthogonal set with similar properties. In particular, we discuss conditions for this new set to be also a basis of the Hilbert space, and we apply the procedure to coherent states. We conclude the paper considering a simple application of our construction to pseudo-Hermitian quantum mechanics. (C) 2014 Elsevier Inc. All rights reserved.
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页码：462 / 476
页数：15
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