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arxiv: math-ph/0212072 · v1 · submitted 2002-12-26 · 🧮 math-ph · math.MP

The power-law and the logarithmic potentials

classification 🧮 math-ph math.MP
keywords logarithmicpower-lawresultsagreementeasilyeigenfunctionseigenvaluesenergy
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In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical results.

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