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Solution of the Schroedinger equation with one and two dimensional double-well potentials

Ramazan Koc·Derya Haydargil
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Abstract

The Schroedinger equation with one and two dimensional potentials are solved in the frame work of the sl(2) Lie algebra. Eigenfunctions of the Schroedinger equation for various asymmetric double-well potentials have been determined and the eigenstates are expressed in terms of the orthogonal polynomials. The solution of the double-well potential in two dimension have been analyzed.

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Ramazan Koc, Derya Haydargil. 2004-10-10. Solution of the Schroedinger equation with one and two dimensional double-well potentials. https://arxiv.org/abs/quant-ph/0410067

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