Non-commutative Geometry and Applications to Physical Systems

被引：0

作者：

Zaim, Slimane ^{[1
]}

机构：

[1] Univ Hadj Lakhdar, Fac Sci, Dept Sci Mtiere, Batna, Algeria

来源：

COMPUTATIONAL ANALYSIS, AMAT 2015 | 2016年 / 155卷

关键词：

ANALYTIC CONTINUED FRACTIONS; 2-DIMENSIONAL HYDROGEN-ATOM; SCHRODINGER WAVE-EQUATION; QUANTUM-MECHANICS; BOUND-STATES; POTENTIAL V(R)=AR(2)+BR(-4)+CR(-6); SINGULAR POTENTIALS; ANHARMONICITIES; DIMENSIONS; SCATTERING;

D O I：

10.1007/978-3-319-28443-9_22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain exact solutions of the 2D Schrodinger equation with the central potentials V(r) = ar(2) + br(-2) + cr(-4) and V(r) = ar(-1) + br(-2) in a non-commutative space up to the first order of noncommutativity parameter using the power-series expansion method similar to the 2D Schrodinger equation with the singular even-power and inverse-power potentials, respectively, in commutative space. We derive the exact non-commutative energy levels and show that the energy is shifted to m levels, as in the Zeeman effect.

引用

页码：313 / 323

页数：11

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