New Relativistic Atomic Mass Spectra of Quark (u, d and s) for Extended Modified Cornell Potential in Nano and Plank’s Scales

Abstract

A novel study for the exact solvability of relativistic quantum spectrum systems for extended Cornell potential is discussed used both Boopp's shift method and standard perturbation theory in noncommutativity three dimensional real space (NC-3DS), furthermore the exact corrections for the spectrum of studied potential was depended on infinitesimal parameter  and a new discreet quantum numbers and we have also found the corresponding noncommutative Hamiltonian.

Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Anharmonic Oscillator

“…Finally one concludes; our obtained results are sufficiently accurate for practical purposes. These results are in agreement with the ones obtained previously [38,47].…”

“…which allow us to getting the operator 2 r on NC three dimensional spaces as follows [25,28,29,32,33,34,[37][38][39][40][41][42][43][44][45][46][47][48]:…”

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

“…in ordinary three dimensional spaces [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]:…”

Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Yukawa Potential for Spin 1/2 Particles

“…The three-generalized coordinates  by the following relations, as follows [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]: …”