Electron propagator with vector and scalar energy-dependent potentials in (2+1)-dimensional space-time

被引：7

作者：

Benzair, H. ^{[1
]}

Merad, M. ^{[2
]}

Boudjedaa, T. ^{[3
]}

机构：

[1] Univ Ouargla, Lab LRPPS, Ouargla 30000, Algeria

[2] Univ Oum El Bouaghi, Fac Sci Exactes, Lab LSDC, Oum El Bouaghi 04000, Algeria

[3] Univ Jijel, Lab Phys Theor, BP 98, Ouled Aissa 18000, Jijel, Algeria

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2018年 / 33卷 / 32期

关键词：

Supersymmetric path integral formalism; energy-dependent potentials; Grassmann variables; PATH-INTEGRAL REPRESENTATION; RELATIVISTIC PARTICLE; SPINNING PARTICLE; STATIONARY STATES; DIRAC-EQUATION;

D O I：

10.1142/S0217751X18501865

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 have studied the effect of energy-dependent potentials for the relativistic spinning particle using the formalism for supersymmetric path integrals. That leaves behind a new normalization of wave function, which is examined via the Dirac equation and can be confirmed by Feynman's path integral method. Based on two important examples, Coulomb and Harmonic oscillator potentials, we find that the frequency and the Coulomb's constant are dependent on spectral parameters. The propagator is calculated and the energy eigenvalues with their corresponding eigenfunctions are deduced.

引用

页数：25

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