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.
引用
收藏
页码：462 / 476
页数：15
相关论文
共 50 条
  • [31] Photon-added coherent states for shape invariant systems
    Komi Sodoga
    Mahouton Norbert Hounkonnou
    Isiaka Aremua
    The European Physical Journal D, 2018, 72
  • [32] Photon-added coherent states for shape invariant systems
    Sodoga, Komi
    Hounkonnou, Mahouton Norbert
    Aremua, Isiaka
    EUROPEAN PHYSICAL JOURNAL D, 2018, 72 (06): : 1 - 16
  • [33] U(2) invariant squeezing properties of pair coherent states
    Arvind
    PHYSICS LETTERS A, 2002, 299 (5-6) : 461 - 468
  • [34] Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians
    Ali, ST
    Bagarello, F
    JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (05)
  • [35] The construction of some important classes of generalized coherent states: the nonlinear coherent states method
    Roknizadeh, R
    Tavassoly, MK
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (33): : 8111 - 8127
  • [36] ON SOME BIORTHOGONAL SYSTEMS
    VERBLUNSKY, S
    QUARTERLY JOURNAL OF MATHEMATICS, 1963, 14 (53): : 1 - &
  • [37] Application of magnon coherent states in spintronics
    Moura, A. R.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2020, 498
  • [38] General sets of coherent states and the Jaynes-Cummings model
    Daoud, M
    Hussin, V
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (34): : 7381 - 7402
  • [39] ON SOME PROPERTIES OF THE K-COHERENT STATES
    Popov, Dusan
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 18 (04): : 323 - 330
  • [40] Coherent and Supercoherent States with some recent applications
    Nieto, LM
    Advanced Summer School in Physics 2005: FRONTIERS IN CONTEMPORARY PHYSICS, 2006, 809 : 3 - 23
12345