RIGHT-UNITARY TRANSFORMATION THEORY AND APPLICATIONS

We develop a transformation theory in quantum physics, where the trans formation operators, defined in the infinite-dimensional Hilbert space , have right-unitary inverses only. Through several theorems, we discu ss the properties of state space of such operators. As one application of the right-unitary transformation (RUT), we show that using the RUT method, we can solve exactly various interactions of many-level atoms with quantized radiation fields, where the energy of atoms can be two levels, three levels in Lambda, V, and = configurations, and up to hi gher (> 3) levels. These interactions have wide applications in atomic physics, quantum optics, and quantum electronics. In this paper, we f ocus on two typical systems: one is a two-level generalized Jaynes-Cum mings model, where the cavity field varies with the external source; t he other one is the interaction of a three-level atom with quantized r adiation fields, where the atoms have n-configuration energy levels, a nd the radiation fields are one-mode or two-mode cavities.