A Recent Study of Quantum Atomic Spectrum of the Lowest Excitations for Schrödinger Equation with Typical Rational Spherical Potential at Planck's and Nanoscales

Authors Abdelmadjid Maireche
Affiliations

Laboratory of: Physic and Chemical Materials, Physics Department, Sciences Faculty, University of M’sila, M’sila, Algeria

Е-mail [email protected]
Issue Volume 7, Year 2015, Number 3
Dates Received 10 June 2015; revised manuscript received 14 October 2015; published online 20 October 2015
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 7 No 3, 03047 (2015)
DOI
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65. – w
Keywords Hydrogen atom (2) , Star product (12) , Noncommutative space and phase and the rational spherical potential.
Annotation The exact global quantum atomic spectrum of lowest excitations states (fundamental and first excited states) for Hydrogen atom with typical rational spherical potential like singular one-fraction power (s.o.f.p.) potential were reported by using both Boopp's shift method and stationary perturbation theory, at Planck's and Nano scales, in both non commutative 2-dimensional space and phase. We have also found the deformed anisotropic Hamiltonian for studied potential.

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