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On the Spectrum and Eigenfunctions of the Equivariant General Boundary Value Problem Outside the Ball for the Schr šodinger Operator with Coulomb Potential |
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PP: 15-17 |
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doi:10.18576/qpl/050201
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Author(s) |
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Vladimir P. Burskii,
Anna A. Zaretskaya,
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Abstract |
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| We consider the Schršodinger equation for hydrogen-like atom with Coulomb potential and non-point ball nucleus. The
eigenvalues and eigenfunctions of the operator given by an arbitrary rotation-invariant boundary value problem on the spherical boundary
of the nucleus are found and as it is proved to be the eigenvalues are independent on selection of any such boundary value problem
and they are the same as for point nucleus. |
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