Solutions of Two-Mode Bosonic and Transformed Hamiltonians

Abstract

We have constructed the quasi-exactly-solvable two-mode bosonic realization of SU(2). Two-mode boson Hamiltonian is defined through a differential equation which is solved by quantum Hamilton-Jacobi formalism. The squeezed states of two-mode boson systems are characterized through canonical transformation. The illustrated concept of squeezed boson systems has been applied two-mode bosonic Hamiltonian which is a squeezed one and is determined through a differential equation. This differential equation is solved and energy eigenvalues are found approximately.

A solution of the bosonic and algebraic Hamiltonians by using an AIM

“…The algebraic techniques have been proven to be useful in the description of the physical problems in a variety of fields [11][12][13][14][15][16][17][18]. In recent years there has been a great deal of interest in quantum optical models which reveal new physical phenomena described by the Hamiltonians expressed as the nonlinear functions of Lie algebra generators or boson and/or fermion operators [19][20][21][22][23].…”