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Accurate eigenvalues of the Schrödinger equation with the potential V(r)=V0r^α

arXiv
Authors: Francisco M. Fernández

Year

2016

Paper ID

42791

Status

Preprint

Abstract Read

~2 min

Abstract Words

47

Citations

0

Abstract

We calculate accurate eigenvalues of the Schrödinger equation with the potential V(r)=V0r^α, αgeq -1, V0α>0. We resort to the Riccati-Padé method that is based on a rational approximation to the logarithmic derivative of the wavefunction. This approach applies when α is a rational number.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We calculate accurate eigenvalues of the Schrödinger equation with the potential V(r)=V0r^α, αgeq -1, V0α>0.

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