Photon-added coherent states as nonlinear coherent states
S Sivakumar · Journal of Physics A Mathematical and General · 1999
The states | , m , defined as up to a normalization constant and where m is a non-negative integer, are shown to be the eigenstates of where is a nonlinear function of the number operator . The explicit form of is constructed. The eigenstates of this operator for negative values of m are introduced. The properties of these states are discussed and compared with those of the state | , m . The eigenstates corresponding to the positive and negative values of m are shown to be the result of nonunitarily deforming the number states | m and |0 respectively.