Extended coupled SUSY, pseudo-bosons and weak squeezed states
Extended coupled SUSY, pseudo-bosons and weak squeezed states
Abstract In this paper we consider squares of pseudo-bosonic ladder operators and we use them to produce explicit examples of eigenstates of certain operators satisfying a deformed <?CDATA $\mathfrak{su}(1,1)$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="fraktur">s</mml:mi> <mml:mi mathvariant="fraktur">u</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> Lie algebra. We show …