Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1648

 Title: Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics Authors: Saxena, R.Saxena, RaviKalla, S. Keywords: Mittag-Leffler FunctionQuantum MechanicsFourier TransformH-FunctionFractional Schrödinger EquationCaputo DerivativeLevy DistributionFeynman Path IntegralsGaussian Probability Distribution Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 13, No 2, (2010), 177p-190p Abstract: The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant extension of a result given earlier by Debnath, and by Saxena et al. The main result is obtained in the form of Theorem 1. Three special cases of this theorem are given as corollaries. Computational representation of the fundamental solution of the proposed equation is also investigated. Description: Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10. URI: http://hdl.handle.net/10525/1648 ISSN: 1311-0454 Appears in Collections: 2010

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