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An exact solution of the Schrödinger wave equation for a sextic potential

1989; Elsevier BV; Volume: 142; Issue: 2-3 Linguagem: Inglês

10.1016/0375-9601(89)90158-8

1873-2429

R. S. Kaushal,

Organic and Molecular Conductors Research

Using an ansatz for the eigenfunction, we obtain an exact analytic solution of the Schrödinger wave equation for the doubly anharmonic (sextic) potential, V(r) = ar2−br4+cr6, where a, b, c are positive and satisfy the constraint b2 = 4c32(2l+5)+4ac, with l as an orbital quantum number.