Quantum Mechanical Version of z -Transform Related to Eigenkets of Boson Creation Operator
Fan Hong-Yi, Liang Fu, Alfred Wünsche
Using the completeness relation composed of the coherent state and of the eigenket of bosonic creation operator, we establish a one-to-one correspondence between the z -transform and the quantum-mechanical transform from the representation by number states to the representation by coherent states (Bargmann representation). In this way, the quantum-mechanical version of the various properties of z -transform are obtained and the operators for embodying these properties in the Fock space are derived, which may find applications in quantum states engineering.
Communications in Theoretical Physics•Nov 15, 2004•4 citations