Landau-like Atomic Problem on a Non-commutative Phase Space

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

“…, un aligned spin 0 k and spin up), respectively, at first order of parameter  , for modified Yukawa potential in (NC: 3D-RS), respectively, on based to the obtained new results (58), (59), (63) and (64), in addition to the original results (21) and (23) As it is mentioned in ref. [18], in view of exact spin symmetry in commutative space ( …”

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

“…The study of weakest bound potential has now become a very interest field due to their applications in different fields [6]. The noncommutative symmetries which was introduced firstly by H. Snyder [7], considered as a logical extended of ordinary quantum mechanics, have been the subject of studies in recent times, we want to extended, this study to case of noncommutative space phase to obtaining an profound new interpretations in the subatomics scales on based to our previously works [8][9][10][11][12][13] and other works in this context [14][15][16][17][18][19][20]. The nonrelativistic energy levels for neutral indium in the context of noncommutative space have not been obtained yet.…”

Effects of Two-Dimensional Noncommutative Theories on Bound States Schrödinger Diatomic Molecules under New Modified Kratzer-Type Interactions

“…The noncommutativity of space-time, which known firstly by Heisenberg and was formalized by Snyder at 1947, suggest by the physical recent results in string theory [9]. Motivated by these, over the past few years, theoretical physicists have shown a great deal of interest in solving Schrödinger equation, Klein-Gordon and Dirac equation for various potentials in NC space-phase to obtaining profound interpretations at microscopic scale [10][11][12][13][14][15][16][17][18][19][20][21][22][23] and in particularly, our previously works . The notions of noncommutativity of space and phase based essentially on Seiberg-Witten map, the Bopp's shift method and the star product, which modified the ordinary product ( )( ) …”