Bi-squeezed states arising from pseudo-bosons. (17th October 2018)

• Record Type: Journal Article
• Authors: Bagarello, F; Gargano, F; Spagnolo, S
• Is Part Of: Journal of physics. Volume 51:Number 45(2018)
• Publication Date: 2018-10-17
• Subjects: coherent states -- squeezed states -- pseudo-bosons; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aae165
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the bi-squeezed states, and we deduce their main mathematical properties. We relate bi-squeezed states to the so-called regular and non regular pseudo-bosons. We show that these two cases are different, from a mathematical point of view. Some physical examples are considered.