In the present communication we investigate the usual Jaynes–Cummings Hamiltonian model, describing two-level atom interacting with an electromagnetic field, in the presence of the second harmonic generation (degenerate parametric amplifier). Exact solutions of the wave function in the Schrödinger picture have been obtained for two different cases. In the first case the field frequency _ω_ is not equal to the ... إقراء المزيد