Geodesic
Radial Schr\"odinger equation: The spectral problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 242-252

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Using the integral transformation method involving the investigation of the Laplace tranforms of wave functions, we find the discrete spectra of the radial Schrödinger equation with a confining power-growth potential and with the generalized nuclear Coulomb attracting potential. The problem is reduced to solving a system of linear algebraic equations approximately. We give the results of calculating the discrete spectra of the $S$-states for the Schrödinger equation with a linearly growing confining potential and the nuclear Yukawa potential. 
@article{TMF_2000_125_2_a3,
     author = {O. S. Pavlova and A. R. Frenkin},
     title = {Radial {Schr\"odinger} equation: {The} spectral problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {242--252},
     publisher = {mathdoc},
     volume = {125},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a3/}
}
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O. S. Pavlova; A. R. Frenkin. Radial Schr\"odinger equation: The spectral problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 242-252. http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a3/