Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat space-time admit any solution for D ≥ 4?

被引：1
作者：
Caruso, F. [1 ,2 ]
Martins, J. [2 ]
Perlingeiro, L. D. [2 ]
Oguri, V. [2 ]
机构：
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, RJ, Brazil
[2] Univ Estado Rio de Janeiro, Inst Fis Armando Dias Tavares, BR-20550900 Rio De Janeiro, RJ, Brazil
来源：
ANNALS OF PHYSICS | 2015年 / 359卷
关键词：
Space; Dimensionality; Dirac equation; Hydrogen atom; Coulombian potential; HYDROGEN-ATOM; EXISTENCE; FIELD;
D O I：
10.1016/j.aop.2015.04.009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The relativistic hydrogen atom in a Euclidean space-time of arbitrary number of space dimensions (D) plus one time dimension is revisited. In particular, numerical solutions of the radial Dirac equation for a generalized Coulombian potential proportional to 1/r((D-2)) are investigated. It is argued that one could not find any physical solution for D >= 4. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：73 / 79
页数：7
相关论文
共 33 条
  • [1] Hydrogen atom in N dimensions
    Al-Jaber, SM
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (04) : 1289 - 1298
  • [2] A HYDROGENIC ATOM IN D-DIMENSIONS
    ANDREW, K
    SUPPLEE, J
    [J]. AMERICAN JOURNAL OF PHYSICS, 1990, 58 (12) : 1177 - 1183
  • [3] ALMOST ZERO-DIMENSIONAL QUANTUM-FIELD THEORIES
    BENDER, CM
    BOETTCHER, S
    LIPATOV, L
    [J]. PHYSICAL REVIEW D, 1992, 46 (12): : 5557 - 5573
  • [4] Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law
    Bures, Martin
    Siegl, Petr
    [J]. ANNALS OF PHYSICS, 2015, 354 : 316 - 327
  • [5] Is there a stable hydrogen atom in higher dimensions?
    Burgbacher, F
    Lämmerzahl, C
    Macias, A
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (02) : 625 - 634
  • [6] On the existence of hydrogen atoms in higher dimensional Euclidean spaces
    Caruso, F.
    Martins, J.
    Oguri, V.
    [J]. PHYSICS LETTERS A, 2013, 377 (09) : 694 - 698
  • [7] THE COSMIC MICROWAVE BACKGROUND SPECTRUM AND AN UPPER LIMIT FOR FRACTAL SPACE DIMENSIONALITY
    Caruso, F.
    Oguri, V.
    [J]. ASTROPHYSICAL JOURNAL, 2009, 694 (01) : 151 - 153
  • [8] ATTRACTIVE OR REPULSIVE NATURE OF CASIMIR FORCE IN D-DIMENSIONAL MINKOWSKI SPACETIME
    CARUSO, F
    NETO, NP
    SVAITER, BF
    SVAITER, NF
    [J]. PHYSICAL REVIEW D, 1991, 43 (04): : 1300 - 1306
  • [9] Zero-point energy of massless scalar fields in the presence of soft and semihard boundaries in D dimensions
    Caruso, F
    De Paola, R
    Svaiter, NF
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (13): : 2077 - 2089
  • [10] ON THE SCALAR CASIMIR ENERGIES IN SPACE-TIMES WITH MD X TQ STRUCTURE
    CARUSO, F
    NETO, NP
    SVAITER, BF
    SVAITER, NF
    [J]. MODERN PHYSICS LETTERS A, 1991, 6 (20) : 1855 - 1861
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