Finding General Solutions of Nonlinear Evolution Equations by Improved (G′/G )-expansion Method

Osman, El-Sayed; Khalfallah, Mohammed; Sapoor, Hussien

doi:10.12785/msl/030101

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“…Its great importance lies in its implication in different branches of physics: astrophysics [9,12], atomic physics [14][15][16][17], molecular physics [18,19], spectroscopy [20,21], solid state [22], and plasma physics [23]. It leads to interesting quantum features such as soliton propagation [24][25][26][27][28][29][30], entanglement [31,32], antibunching [33], squeezing [34], bistability [35], and chaos [36,37].…”

Section: Introductionmentioning

confidence: 99%

Regularity and Chaos in the Hydrogen Atom Highly Excited with a Strong Magnetic Field

Amdouni

Eleuch

2014

Mathematical Problems in Engineering

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The effects of the relativistic corrections on the energy spectra are analyzed. Effective simulations based on manipulations of operators in the Sturmian basis are developed. Discrete and continuous energy spectra of a hydrogen atom with realistic nucleus mass in a strong magnetic field are computed. The transition from regularity to chaos in diamagnetic problem with the effect of the nucleus recoil energy is explored. Anticrossing of energy levels is observed for strong magnetic field.

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