Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49251#.VJDxpMnQrzE Author(s) Ancilla Nininahazwe Affiliation(s) Université du Burundi, Institut de Pédagogie Appliquée, Bujumbura, Burundi . ABSTRACT A generalized method which helps to find a time-dependent Schr Ö dinger equation for any static potential is established. We illustrate this method with two examples. Indeed, we use this method to find the time-dependent Hamiltonian of quasi-exactly solvable Lamé equation and to construct the matrix 2 × 2 time-dependent polynomial Hamiltonian. KEYWORDS Quasi-Exactly Solvable , Time-Dependent Hamiltonian ...
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