On the quantum problem with harmonic, Stark, Coulombian and centrifugal barrier potential terms, and biconfluent Heun functions
DOI:
https://doi.org/10.31349/RevMexFisE.21.010209Keywords:
Schrodinger equation, Biconfluent Heun equation, exact solutionsAbstract
We show here that the one dimensional Schro ̈dinger problem with a potential function with harmonic, Stark, Coulombian and centrifugal barrier terms can be described in terms of biconfluent Heun functions, and review some possible solutions of the problem. Considering the algebraic form of the quantum problem, we readily find two new relations between biconfluent Heun functions, which have not been considered before in the literature.
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Copyright (c) 2024 D. M. Reyna-Muñoz, Marco A. Reyes, A. Fernández-Téllez
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