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Recursion Relations of Radial Wavefunctions of the Hartmann Potential

Chen Zi-Dong1 and Chen Gang1,2

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We obtain exact bound state solutions of the radial Schrödinger equation with the Hartmann potential, as well as two kinds of recursion relations of radial wavefunctions by using Laplace transformation. Those results are expressed only in terms of the principal and angular-momentum quantum numbers.


PACS

03.65.Ge Solutions of wave equations: bound states

02.30.Uu Integral transforms

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 4 (April 2005)

Received 13 December 2004



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