1995
DOI: 10.1007/bf00674075
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Exact solutions for radial SchrÖdinger equations

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Cited by 2 publications
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“…Such analytic solutions exist for some polynomial potentials in which (N -1) constraints on the values l Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czech Republic; e-mail: skala@quantum.karlov.mff.cuni.cz. 2953 of the potential coefficients are introduced (Magyari, 1981;Turbiner and Ushveridze, 1987;Ushveridze, 1994;Vanden Berghe et al, 1995;Sk~ila et ai., 1996). We note that there are no constraints for the harmonic oscillator (N = 1) only.…”
Section: D~ = E (X)e O(x)mentioning
confidence: 99%
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“…Such analytic solutions exist for some polynomial potentials in which (N -1) constraints on the values l Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czech Republic; e-mail: skala@quantum.karlov.mff.cuni.cz. 2953 of the potential coefficients are introduced (Magyari, 1981;Turbiner and Ushveridze, 1987;Ushveridze, 1994;Vanden Berghe et al, 1995;Sk~ila et ai., 1996). We note that there are no constraints for the harmonic oscillator (N = 1) only.…”
Section: D~ = E (X)e O(x)mentioning
confidence: 99%
“…However, it has been shown that analytic solutions exist for some polynomial potentials of the order 2N = 4k + 2, where k = 1, 2 .... (see, e.g., Magyari, 1981;Turbiner and Ushveridze, 1987;Ushveridze, 1994;Vanden Berghe et al, 1995;Skala et al, 1996). These solutions have the form…”
mentioning
confidence: 97%