New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales | Zendy

Abdelmadjid Maireche | Zendy

Open Access

New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales

Author(s) -

Abdelmadjid Maireche

Publication year - 2016

Publication title -

nanoworld journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.128

H-Index - 1

ISSN - 2379-1101

DOI - 10.17756/nwj.2016-016

Subject(s) - zeeman effect , hamiltonian (control theory) , degenerate energy levels , noncommutative geometry , bound state , physics , quantum mechanics , quantum , schrödinger equation , quantum electrodynamics , mathematical physics , mathematics , magnetic field , mathematical optimization

In present work, the exact analytical bound-state solutions of modified Schrodinger equation with Modified central potential consisting of a Cornellmodified plus pseudoharmonic harmonic potential (MCMpH) have been presented using both Boopp’s shift method and standard perturbation theory, we have also constructed the corresponding noncommutative Hamiltonian which containing two new terms, the first one is modified Zeeman effect and the second is new spin-orbital interaction. The theoretical results show that the automatically appearance for both spin-orbital interaction and modified Zeeman Effect leads to the degenerate to energy levels to ( ) 1 2 2 + l sub states.

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