By utilizing the unitary transformation such as the rotational transformation in Schwinger angular momentum representation,Bogoliubov transformation and the squeezed transformation,the two-body interacting Hamiltonian in the form of H∧_k=A_1a~+_ka_k+A_2b~+_kb_k+(Ba~+_kb~+_k+B~*a_kb_k)+(Ca~+_kb_k+C~*b~+_ka_k)is diagonalized.

The Hamiltonian of the system was diagonalized by unitary transformation to obtain the eigenenergy spectra of the circuit.

We find that when the channels are nonmaximally (entangled) states by introducing an ancillary qubit and constructing an unitary transformation properly,teleportation of two-particle entangled state can be implemented with certain probability.

In thisarticle,theoperator \$Q,\$characterizing the semiunitary transformation relating the partner Hamiltonians,proposed in Refs and is structured for some circumstances in SSQM.

For Jaynes-Cummings model which contains the inverse operators, we find its supersymmetric structure and diagonalize the Hamiltonian via the method of supersymmetric unitary transformation.

For Jaynes—Cummings model which describes interaction of a single two-level atom with a single quantized riadiation field related to the intensity,we find its supersymmetric structure and diagonalize the Hamiltonian via the method of supersymmetric unitary transformation.