Quantum Mechanical Motion of an Electron in Inhomogeneous Electric and Magnetic Fields

Australian Journal of Basic and Applied Sciences 10(1) January 2016, Pages: 666-669

4 Pages Posted: 8 Jul 2017

See all articles by S. Benjamin

S. Benjamin

VSB College of Engineering - Technical Campus - Department of Physics

G. Pandiaraj

VSB College of Engineering - Technical Campus - Department of Physics

C. Rajeswari

VSB College of Engineering - Technical Campus - Department of Physics

S. Revathi

VSB College of Engineering - Technical Campus - Department of Physics

Date Written: January 7, 2016

Abstract

Dirac equation governs the behavior of relativistic motion of spin ½ particles. Several instances of solution of Dirac equation in various field configurations can be seen in the literature. In this paper we present certain exact solutions of the Dirac equation for an electron in crossed inhomogeneous electric and magnetic fields. Closed form bound state solutions are obtained in terms of Laguerre polynomials. The eigenvalues reduce to the results in the literature in the limit of vanishing inhomogeneity and electric field.

Keywords: Bound State Solutions, Dirac Equation, Inhomogeneous Fields, Kratzer’s Molecular, Laguerre Polynomials

Suggested Citation

Benjamin, S. and Pandiaraj, G. and Rajeswari, C. and Revathi, S., Quantum Mechanical Motion of an Electron in Inhomogeneous Electric and Magnetic Fields (January 7, 2016). Australian Journal of Basic and Applied Sciences 10(1) January 2016, Pages: 666-669. Available at SSRN: https://ssrn.com/abstract=2791577

S. Benjamin (Contact Author)

VSB College of Engineering - Technical Campus - Department of Physics ( email )

NH-209, Coimbatore-Pollachi main road
Ealur Pirivu, Solavampalayam(po)
Coimbatore, Tamil Nadu 642109
India

G. Pandiaraj

VSB College of Engineering - Technical Campus - Department of Physics

NH-209, Coimbatore-Pollachi main road
Ealur Pirivu, Solavampalayam(po)
Coimbatore, Tamil Nadu 642109
India

C. Rajeswari

VSB College of Engineering - Technical Campus - Department of Physics

NH-209, Coimbatore-Pollachi main road
Ealur Pirivu, Solavampalayam(po)
Coimbatore, Tamil Nadu 642109
India

S. Revathi

VSB College of Engineering - Technical Campus - Department of Physics

NH-209, Coimbatore-Pollachi main road
Ealur Pirivu, Solavampalayam(po)
Coimbatore, Tamil Nadu 642109
India

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