ON THE INVERSE OF TWO-MODE BOSON OPERATORS (a-b†) AND (a†-b)
Hong-Yi Fan, Zhihu Sun, HUI ZOU · Modern Physics Letters A · 1999
We study the properties of the inverse of two-mode boson operators (a-b†) and (a†-b), by constructing the charged bosonic orthogonal state |q, r>, where r denotes the radius. We show that in |q, r> representation (a†-b)-1 and (a-b†)-1 lowers and ascends the charge quantum number q, respectively, which resembles the behavior of single-mode inverse operator [Formula: see text] in Fock space.