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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 09 > No. 1


Solution of the Schrödinger Equation for a Linear Potential using the Extended Baker-Campbell-Hausdorff Formula

PP: 175-181
Francisco Soto-Eguibar, Héctor M. Moya-Cessa,
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.

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