A Selective Relaxation Method for Numerical Solution of Schrödinger Problems

Details A Selective Relaxation Method for Numerical Solution of Schrödinger Problems A Selective Relaxation Method for Numerical Solution of Schrödinger Problems

1995-05-12

arxiv.org/abs/quant-ph/9505005v1

Phys.Rev. E52 (1995) 4495-4498

Physics

Quantum Physics

4 pages with figures, uuencoded Z-compressed ps file

Scientific paper

10.1103/PhysRevE.52.4495

We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schr\"odinger operators with general confining potentials. The method is selective in the sense that only the eigenvalue closest to a chosen input energy is found through an absolutely-stable relaxation algorithm which has rate of convergence infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.

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