New Higher Excited Energy Levels of Rydberg States for Weakest Bound Potential Model Theory: Extended Quantum Mechanics

Abstract

In present research paper, a Bopp’s shift method and standard perturbation theory are used to find exact analytical solutions of the noncommutative 3-dimensional space phase (NC: 3D-RSP) for modified time-independent Schrödinger equation of weakest bound electron potential model (WBEPM) theory for neutral indium. We have obtained the explicit higher energy eigenvalues for th n excited states. Furthermore, the obtained corrections of energies are depended on the discreet atomic quantum numbers ( j = l ±1/ 2,( n* l*) = (n + d, l + d), SL S and m), in addition to the four infinitesimal parameters (Θ, χ) and (θ, σ) which are induced by position-position and momentummomentum noncommutativity, respectively. We have also shown that, the total complete degeneracy of higher energy level of the modified (WBEPM) theory equal the new values 2n2 .