Static polarizability of an atom confined in Gaussian potential

Sonia Lumb; Shalini Lumb; Vinod Prasad

doi:10.1140/epjp/i2015-15149-6

EPJ

Static polarizability of an atom confined in Gaussian potential

Sonia Lumb¹, Shalini Lumb²^* and Vinod Prasad³

¹ Department of Physics and Electronics, Rajdhani College, University of Delhi, 110015, New Delhi, India
² Department of Physics, Maitreyi College, University of Delhi, 110021, New Delhi, India
³ Department of Physics, Swami Shraddhanand College, University of Delhi, 110036, Delhi, India

Received: 20 March 2015
Accepted: 9 July 2015
Published online: 28 July 2015

Abstract

Optical properties like oscillator strength and polarizability have been calculated for a hydrogen atom under the effect of Gaussian potential and loose spherical confinement by solving the Schrödinger equation numerically. The finite basis set method based on B-polynomials has been successfully employed to calculate the energy spectrum of such systems. The effect of varying Gaussian confinement parameters on the energy spectrum, radial dipole matrix elements and optical properties has been investigated in detail. Dependence of static polarizability on the number of states chosen to represent the system has also been explored.