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Scattering and Bound State Solutions of Asymmetric Hulthén Potential
Scattering states bound states asymmetric Hulthen Potential Schrodinger equation
2011/9/13
Abstract: One-dimensional time-independent Schr\"odinger equation is solved for the asymmetric Hulth\'{e}n potential. Reflection and transmission coefficients and bound state solutions are obtained in...
A polynomial bound on solutions of quadratic equations in free groups
polynomial bound quadratic equations free groups Group Theory
2011/8/31
Abstract: We provide polynomial upper bounds on the size of a shortest solution for quadratic equations in a free group. A similar bound is given for parametric solutions in the description of solutio...
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
A method for obtaining the explicit pointwise bounds on solutions to the general form of linear systems of Volterra integral inequalities in n independent variables is recomended. All known results re...