Influence of a generalized uncertainty principle on the energy spectrum of (1+1)-dimensional Dirac equation with linear potential

Hossain MS; Faruque SB

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Influence of a generalized uncertainty principle on the energy spectrum of (1+1)-dimensional Dirac equation with linear potential

机译：广义不确定性原理对（1 + 1）维线性线性狄拉克方程能谱的影响

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We study the influence of a generalized uncertainty principle (GUP) on the energy spectrum of (1 + 1)-dimensional Dirac equation with a linear scalar-like confining potential. We find the dominant contribution to the relativistic energy levels in linear potential field from the deformation of the Dirac equation through the generalized Heisenberg algebra of a GUP. Obviously, our study ends with an approximation, but it sheds much light on a very interesting theoretical physics problem that is not only of theoretical value, but also of natural value.

机译：我们研究了广义不确定性原理（GUP）对具有线性标量约束空间的（1 +1）维Dirac方程的能谱的影响。我们发现Dirac方程的变形通过GUP的广义Heisenberg代数对线性势场中相对论能级的主要贡献。显然，我们的研究以近似值结尾，但是它为一个非常有趣的理论物理问题提供了很多启示，该问题不仅具有理论价值，而且具有自然价值。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第3期|共5页
作者
Hossain MS; Faruque SB;
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正文语种 eng
中图分类物理学;
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HARMONIC-OSCILLATOR; DIMENSION;

机译：谐波振荡器;尺寸;

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1. Influence of a generalized uncertainty principle on the energy spectrum of (1+1)-dimensional Dirac equation with linear potential [J] . Hossain MS, Faruque SB Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第3期

机译：广义不确定性原理对（1 + 1）维线性线性狄拉克方程能谱的影响
2. Dirac equation in the curved spacetime and generalized uncertainty principle: A fundamental quantum mechanical approach with energy-dependent potentials [J] . Yesiltas Ozlem European Physical Journal Plus . 2019,第7期

机译：弯曲时空的DIRAC方程和广义不确定性原理：具有能量依赖性潜力的基本量子机械方法
3. Exact solution of the (1+1)-dimensional Dirac equation with vector and scalar linear potentials in the presence of a minimal length [J] . Chargui Y, Trabelsi A, Chetouani L Physics Letters, A . 2010,第4期

机译：存在最小长度时具有向量和标量线性势的（1 + 1）维Dirac方程的精确解
4. EXACTLY SOLVABLE POTENTIALS FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION [C] . V. G. Bagrov, A. A. Pecheritsyn, B. F. Samsonov International Meeting on Problems of Intellectuals . 2003

机译：一维静止DIAC方程的完全可溶性电位
5. Techniques and instabilities for 1+1 and 2+1 dimensional integrable partial differential equations. [D] . MacEvoy, Warren Douglas. 1995

机译：1 + 1和2 + 1维可积偏微分方程的技术和不稳定性。
6. The modified alternative (G’/G)-expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel’d-Sokolov-Wilson equation [O] . M Ali Akbar, Norhashidah Hj Mohd Ali, Syed Tauseef Mohyud-Din -1

机译：非线性演化方程的修正替代（G’/ G）展开方法：应用于（1 + 1）维Drinfel’d-Sokolov-Wilson方程
7. Dirac particles’ tunneling from five-dimensional rotating black strings influenced by the generalized uncertainty principle [O] . Deyou Chen 2014

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8. Existence of Localized Solutions of (1+1)-Dimensional Nonlinear Dirac Equations with Scalar Selfinteraction [R] . Stubbe, J. 1986

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Influence of a generalized uncertainty principle on the energy spectrum of (1+1)-dimensional Dirac equation with linear potential

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