D Waxman 1998 J. Phys. A: Math. Gen. 31 1329 doi:10.1088/0305-4470/31/4/020
D Waxman
Show affiliationsWe present a simply applied numerical technique that allows the accurate determination of the bound-state eigenfunctions and eigenvalues of a differential operator such as the one-particle Schrödinger Hamiltonian. The method applies for potentials that asymptotically vanish. The eigenvalues and eigenfunctions are determined as functions of the strength of the potential and the method is able to determine the bound-state energies for arbitrarily weak strengths of the potential. At no point is a matrix diagonalized thus the method may be applied to problems with space dimension greater than unity.
35J10 Schrödinger operator (See also 35Pxx)
Issue 4 (30 January 1998)
Received 11 September 1997, in final form 11 November 1997
D Waxman 1998 J. Phys. A: Math. Gen. 31 1329
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