Exact analytic solutions of Schrödinger linear and nonlinear equations |
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Authors: | IE Kougias S Louvros |
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Institution: | Department of Telecommunication Systems and Networks, Technological Educational Institute of Messolonghi, Greece |
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Abstract: | Exact analytic solutions of Schrödinger linear partial differential equations are obtained. Moreover, the cubic nonlinear Schrödinger equation is treated with the use of a well-known functional analytic method and the existence of convergent power series solutions is proved. From these solutions, under certain initial conditions, similar results as those presented in the literature are obtained. |
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Keywords: | Abstract equation Banach space Freché t differentiable Hilbert space Analytic function Schrö dinger equation |
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