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.

Five kinds of symmetry transformation operations and corresponding symmetry transformation operators in quantum mechanics are introduced and the proof of linearity and unitary of transformation operator as well as the deduction of its formula is also given.

By analyzing and comparing the calculation processes of several different unitary operators, we obtain the most appropriate scheme to build an unitary operator which enables the results of canonical transformation and unitary transformation to be same with each other.

The structure of linear triatomic molecule have unitary symmetry.

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.