Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach

H.Panahi; L.Jahangiri

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Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach

机译：极坐标中弯曲狄拉克方程的精确解：主函数法

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We show that the (2+1) curved Dirac equation in polar coordinates can be transformed into Schrodinger-like differential equation for upper spinor component. We compare this equation with the Schrodinger equation derived from shape invariance property of second order differential equations of mathematical physics. This formalism enables us to determine the electrostatic potential and relativistic energy in terms of master function and corresponding weight function. We also obtain the spinor wave function in terms of orthogonal polynomials.

机译：我们表明，极坐标中的（2 + 1）弯曲Dirac方程可以转化为上旋子分量的类似于Schrodinger的微分方程。我们将该方程与从数学物理二阶微分方程的形状不变性导出的薛定inger方程进行比较。这种形式主义使我们能够根据主函数和相应的权重函数确定静电势和相对论能量。我们还根据正交多项式获得了自旋波函数。

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《Advances in high energy physics》 |2015年第1期|共8页
作者
H.Panahi; L.Jahangiri;
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中图分类原子核物理学、高能物理学;
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1. Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach [J] . Panahi H., Jahangiri L. Advances in high energy physics . 2015,第Pta1期

机译：极坐标中弯曲狄拉克方程的精确解：主函数法
2. Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator [J] . Klishevich VV. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2001,第17期

机译：允许第二个Dirac算子的曲面空间中Dirac和Klein-Gordon-Fock方程的精确解
3. The (2+1) curved Dirac equation in polar coordinates in the presence of electromagnetic field [J] . Panahi H., Jahangiri L. Annals of Physics . 2015,第Null期

机译：存在电磁场时极坐标中的（2 + 1）弯曲Dirac方程
4. EXACT SOLUTION TO THE GREEN'S FUNCTION OF THE HELMHOLTZ EQUATION IN A LINEAR GRADED MEDIUM USING GEODESIC POLAR COORDINATES [C] . David R. Bergman International Congress on Sound and Vibration . 2011

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5. Spectral functions associated with Sturm -Liouville and Dirac equations [D] . Riehl, Suzanne M. 2001

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Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach

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