"Solution of the Schr?dinger Equation for a Linear Potential using the " by Francisco Soto-Eguibar and Héctor M. Moya-Cessa

Article Title

Solution of the Schr?dinger Equation for a Linear Potential using the Extended Baker-Campbell-Hausdorff Formula

Authors

Francisco Soto-Eguibar, Instituto Nacional de Astrof´ısica, ´Optica y Electr´onica, INAOE. Luis Enrique Erro 1, Santa Mar´ıa Tonantzintla, San Andr´es Cholula, Puebla, 72840, M´exico
Héctor M. Moya-Cessa

Author Country (or Countries)

M´exico

Abstract

The time-dependent Schr¨odinger equation is solved for a linear potential using operational methods; in particular, an extension of the Baker-Campbell-Hausdorff formula is exposed and used. Several initial conditions are considered. A closed formfor the Wigner function is presented. The results can be extended to the propagation of an electromagnetic field in the paraxial approximation.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090123

Recommended Citation

Soto-Eguibar, Francisco and M. Moya-Cessa, Héctor (2015) "Solution of the Schr?dinger Equation for a Linear Potential using the Extended Baker-Campbell-Hausdorff Formula," Applied Mathematics & Information Sciences: Vol. 09 : Iss. 1 , Article 23.
DOI: http://dx.doi.org/10.12785/amis/090123
Available at: https://dc.naturalspublishing.com/amis/vol09/iss1/23

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