This article is cited in 10 papers

Spectral problem for the radial Schrödinger equation with power confining potentials

A. S. Vshivtsev^a, V. O. Galkin^b, A. V. Tatarintsev^a, R. N. Faustov<sup>b

a</sup> Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
^b Science Counsil RAS on Complex Problem 'Cybernetics' RAS

Abstract: An approach reducing the solution of the Schrödinger equation for some widely used power potentials to the solution of the eigenvalue problem for an infinite system of algebraic equations is proposed. The developed algorithm is appropriate both for analytic calculations and for numerical computations. On the basis of this method, the charmonium and bottomonium mass spectra are calculated for the Cornell potential and for the sum of the Coulomb and oscillator potentials. The proposed approach allows one to determine the mass spectrum of the relativistic Schrödinger-like equations. Good agreement with experimental data is achieved.

Received: 07.05.1997

DOI: 10.4213/tmf1088

 English version: Theoretical and Mathematical Physics, 1997, 113:3, 1530–1542

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