Massive fermions interacting via a harmonic oscillator in the presence of a minimal length uncertainty relation

被引：7

作者：

Falaye, B. J. ^{[1
,2
]}

Dong, Shi-Hai ^{[3
]}

Oyewumi, K. J. ^{[4
]}

Haiwi, K. F. ^{[5
]}

Ikhdair, S. M. ^{[5
,6
]}

机构：

[1] UPALM, ESFM, Inst Politecn Nacl, Mexico City 07738, DF, Mexico

[2] Fed Univ Lafia, Div Appl Theoret Phys, Dept Phys, Lafia, Nigeria

[3] UPALM, CIDETEC, Inst Politecn Nacl, Mexico City 07700, DF, Mexico

[4] Univ Ilorin, Theoret Phys Sect, Dept Phys, Ilorin, Nigeria

[5] An Najah Natl Univ, Dept Phys, Fac Sci, Nablus, West Bank, Palestine

[6] Near East Univ, Dept Elect Engn, Northern Cyprus 10, Mersin, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS E | 2015年 / 24卷 / 11期

关键词：

Dirac equation; generalized uncertainty relation; formula method; LADDER OPERATORS; QUANTUM-GRAVITY; PRINCIPLE; DIRAC; EQUATION;

D O I：

10.1142/S0218301315500871

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We derive the relativistic energy spectrum for the modified Dirac equation by adding a harmonic oscillator potential where the coordinates and momenta are assumed to obey the commutation relation [(x) over cap, (p) over cap] = ih (1 + eta p(2)). In the nonrelativistic (NR) limit, our results are in agreement with the ones obtained previously. Furthermore, the extension to the construction of creation and annihilation operators for the harmonic oscillators with minimal length uncertainty relation is presented. Finally, we show that the commutation relation of the SU(1, 1) similar to SO(2, 1) algebra is satisfied by the operators (L) over cap (+/-) and (L) over cap (z).

引用

页数：11

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