Study of anharmonic singular potentials

Details Study of anharmonic singular potentials Study of anharmonic singular potentials

2004-10-14

arxiv.org/abs/math-ph/0410039v1

J. Math. Phys. 46, 022104 (2005)

Physics

Mathematical Physics

25 pages

Scientific paper

10.1063/1.1836014

A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a Hamiltonian H with singular potentials. Closed-form analytic expressions in N dimensions are obtained for the matrix elements of H with respect to the eigenfunctions of a soluble singular problem with two free parameters A and B. The matrix eigenvalues are then optimized with respect to A and B for a given N. Applications, convergence rates, and comparisons with earlier work are discussed in detail.

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