Solution of the Schroedinger equation with one and two dimensional double-well potentials
classification
🪐 quant-ph
keywords
double-wellequationpotentialsschroedingerbeendimensionalsolutionalgebra
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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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