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.
Bagarello, F., Gargano, F., Spagnolo, S. (2018). Bi-squeezed states arising from pseudo-bosons. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 51(45) [10.1088/1751-8121/aae165].
Bi-squeezed states arising from pseudo-bosons
Bagarello, F.
;Gargano, F.;Spagnolo, S.
2018-01-01
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.
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