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Research PapersNo Access

SCATTERING STATES OF HULTHÉN INTERACTION IN MINIMAL LENGTH QUANTUM MECHANICS

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Corresponding author.

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Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

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Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

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https://doi.org/10.1142/S0217751X13500413Cited by:1 (Source: Crossref)

Abstract

We first revisit the nonrelativistic minimal length quantum mechanics and reveal an interesting symmetry of the problem. In fact, we will show that the cumbersome problem can be cast into the ordinary Schrödinger equation with a new effective potential. Next, as a typical example, we show the minimal length Schrödinger equation in the presence of a nonminimal Hulthén vector interaction. The transmission and reflection coefficients are reported as well.

Keywords:

PACS: 03.65.-w, 04.60.-m, 42.50.Nn, 04.62.+v

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Vol. 28, No. 12

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History

Received 20 January 2013

Revised 13 March 2013

Accepted 18 March 2013

Published: 3 May 2013

Keywords