Work

Selective relaxation method for numerical solution of Schrödinger problems

Year: 1995

Type: article

Abstract: 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 a rate of convergence that is infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.52.4495

Authors: Carlo Presilla, Ubaldo Tambini

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome, University of Ferrara, Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1975429369

FWCI: 2.18

Cites: 14

Cited by: 12

Related to: 10