Geodesic
A map between the Coulomb and the harmonic oscillator systems in a higher-dimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 79-86
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We present an extended transformation method for mapping between higher-dimensional spaces. We report solutions of the Schrödinger equation for the Green's function in the form of bound states and scattering states. We discuss the normalizability of the bound-state solution of a generated exactly solvable potential.
Keywords: extended transformation, Schrödinger Green's function equation, exactly solvable potential. 
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N. Saikia; S. A. S. Ahmed. A map between the Coulomb and the harmonic oscillator systems in a higher-dimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 79-86. http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a6/

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