Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r

We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for z...

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Autor principal: Fernández, Francisco Marcelo
Formato: Articulo Comunicacion
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/109380
https://www.sciencedirect.com/science/article/abs/pii/S000349161730060X
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Sumario:We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.