Article
On the Spectrum and Eigenfunctions of the Equivariant General Boundary Value Problem Outside the Ball for the Schrödinger Operator with Coulomb Potential
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Abstract
We consider the Schrödinger 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.
Keywords
Boundary value problem, the Schrödinger equation, ball nucleus
Citation
Burskii, V. P. & Zaretskaya, A. A. (2016). On the spectrum and eigenfunctions of the equivariant general boundary value problem outside the ball for the schrödinger operator with coulomb potential. Quantum Physics Letters, 5(2), 15–17. https://doi.org/10.18576/qpl/050201
V. P. Burskii and A. A. Zaretskaya, “On the spectrum and eigenfunctions of the equivariant general boundary value problem outside the ball for the schrödinger operator with coulomb potential,” Quantum Physics Letters, vol. 5, no. 2, pp. 15–17, 2016, doi: 10.18576/qpl/050201.
Burskii VP, Zaretskaya AA. On the spectrum and eigenfunctions of the equivariant general boundary value problem outside the ball for the schrödinger operator with coulomb potential. Quantum Physics Letters. 2016;5(2):15–17. doi:10.18576/qpl/050201.
Burskii, V. P. and Zaretskaya, A. A. (2016), ‘On the spectrum and eigenfunctions of the equivariant general boundary value problem outside the ball for the schrödinger operator with coulomb potential’, Quantum Physics Letters, 5(2), pp. 15–17. Available at: https://doi.org/10.18576/qpl/050201.
Burskii, Vladimir P., and Anna A. Zaretskaya. “On the Spectrum and Eigenfunctions of the Equivariant General Boundary Value Problem Outside the Ball for the Schrödinger Operator with Coulomb Potential.” Quantum Physics Letters, vol. 5, no. 2, 2016, pp. 15–17. https://doi.org/10.18576/qpl/050201.
Burskii, Vladimir P., and Anna A. Zaretskaya. “On the Spectrum and Eigenfunctions of the Equivariant General Boundary Value Problem Outside the Ball for the Schrödinger Operator with Coulomb Potential.” Quantum Physics Letters 5, no. 2 (2016): 15–17. https://doi.org/10.18576/qpl/050201.
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Published by: Engineering Journals
