Nonperturbative treatment of singular potentials
- 1 May 1994
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (5) , 2229-2232
- https://doi.org/10.1063/1.530548
Abstract
A nonperturbative but absolutely convergent algorithm is applied to the determination of the eigenfunctions of Hamiltonian with a singular potential of the form H=−d2/dx2+x2+λ/xα in the domain [0, ∞] which obey Dirichlet boundary conditons. The formal structure of the algorithm is identical to that of the Lanczos algorithm when it is formally extended to self-adjoint operators.Keywords
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