Photoexcitation and ionization of a hydrogen atom confined by a combined effect of a spherical box and Debye plasma

•Spherically confined hydrogen atom embedded in plasma environment is studied.•Response to continuous wave laser field is investigated using Floquet method.•Energy spectrum and oscillator strengths depend on confinement parameters.•Dressing of energy states leads to characteristic changes in system behavior.

The spectrum of the hydrogen atom confined by a relatively large radius spherical box and Debye plasma environment is obtained by solving the Schrödinger equation by using Bernstein-polynomials (B-polynomials). Response of such confined atoms to laser field is studied using non-perturbative Floquet method. Photoexcitation and ionization are found to depend on the confining parameters, such as radius of the confining spherical box and the screening parameter of Debye plasma.