Quantum potentials with q-Gaussian ground states

被引：13

作者：

Vignat, Christophe ^{[1
,2
]}

Plastino, Angel ^{[3
]}

Plastino, Angel R. ^{[3
,4
,5
]}

Dehesa, Jesus Sanchez ^{[4
,5
]}

机构：

[1] Ecole Polytech Fed Lausanne, LTHI, CH-1015 Lausanne, Switzerland

[2] LSS Supelec, Orsay, France

[3] Natl Univ La Plata, UNLP CREG CONICET, RA-1900 La Plata, Buenos Aires, Argentina

[4] Univ Granada, Inst Fis Teor & Computac Carlos I, Granada, Spain

[5] Univ Granada, Dept Fis Atom Mol & Nucl, Granada, Spain

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2012年 / 391卷 / 04期

关键词：

Coulomb potential; q-Gaussian; Spherically symmetrical quantum potentials; ENTROPY; INFORMATION; MECHANICS; ATOMS;

D O I：

10.1016/j.physa.2011.09.031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of S-q power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential -1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0 < q < 1. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1068 / 1073

页数：6

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