A Coulomb-related family of potentials having zero-energy bound states |
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| Authors: | Adam J Makowski |
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| Institution: | Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland |
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| Abstract: | We propose here a new large class of singular central potentials having zero-energy bound states for many values of angular momenta. The potentials are shown to be closely related to the standard attractive Coulomb interaction. Some of them admit the E≠0 bound states as well. A quantum–classical correspondence is also discussed. |
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| Keywords: | Zero-energy bound states Central potentials Quantum&ndash classical correspondence |
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