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Solution of the Schrödinger Equation for a Linear Potential using the Extended Baker-Campbell-Hausdorff Formula |
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PP: 175-181 |
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Author(s) |
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Francisco Soto-Eguibar,
Héctor M. Moya-Cessa,
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Abstract |
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| 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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