The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects

被引：8

作者：

Martinez-y-Romero, R. P. ^{[1
]}

Nunez-Yepez, H. N. ^{[2
]}

Salas-Brito, A. L. ^{[3
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Coyoacan 04510, DF, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico

[3] Univ Autonoma Metropolitana Azcapotzalco, Dept Ciencias Basicas, Lab Sistemas Dinam, Coyoacan 04000, DF, Mexico

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 05期

关键词：

POLAR-MOLECULES; ONE-DIMENSION; BOUND-STATES; RENORMALIZATION;

D O I：

10.1063/1.4804356

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The classical 2D dynamics of a particle moving under an inverse square potential, -k/r(2), is analysed. We show that such problem is an example of a geometric system since its negative energy orbits are equivalent to free motion on a certain hypersurface. We then solve in momentum space, the corresponding unrenormalized quantum problem showing that there is no discrete energy spectrum and, particularly, no ground state. (C) 2013 AIP Publishing LLC.

引用

页数：7

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