Vibrational-rotational analysis of supersingular plus quadraticA/r
4+r
2 potential |
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Authors: | V C Aguilera-Navarro E Ley Koo |
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Institution: | 1. Instituto de Física Teórica-UNESP, 01405-900, S?o Paulo, SP, Brazil
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Abstract: | Most work on supersingular potentials has focused on the study of the ground state. In this paper, a global analysis of the
ground and excited states for the successive values of the orbital angular momentum of the supersingular plus quadratic potential
is carried out, making use of centrifugal plus quadratic potential eigenfunction bases. First, the radially nodeless states
are variationally analyzed for each value of the orbital angular momentum using the corresponding functions of the bases;
the output includes the centrifugal and frequency parameters of the auxiliary potentials and their eigenfunction bases. In
the second stage, these bases are used to construct the matrix representation of the Hamiltonian of the system, and from its
diagonalization the energy eigenvalues and eigenvectors of the successive states are obtained. The systematics of the accuracy
and convergence of the overall results are discussed with emphasis on the dependence on the intensity of the supersingular
part of the potential and on the orbital angular momentum.
under the CNPq-CONACyT scientific exchange program. |
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Keywords: | |
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