1998/06/24 by S. Sivakumar, S Sivakumar · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #quant-ph
paper · pdf · doi:10.1088/0305-4470/32/18/317
Rev Tex file with two figures as postscript files attached. Email: [email protected]
arxiv created 1998/06/24 · openalex publication_date 1999/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.