Abstract
By using the singular eigenvector (eigenket) of the creation operator a† we study how Dirac's inverse operators are squeezed and what is the normally ordered expansion of a†coshλ+asinhλ−1. We find the rule for converting annihilator's eigenket to creator's eigenket is: ez→e−∂∂z*δ(z*), where δ(z*) is the Dirac's Delta function in contour integration form. We also derive the squeezed creation operator's eigenket and conclude that a†coshλ+asinhλ−1|0〉 is an excited squeezed state.
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