Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521333 | Journal of Computational Physics | 2008 | 7 Pages |
Abstract
We present a numerically precise treatment of the Crank–Nicolson method with an imaginary time evolution operator in order to solve the Schrödinger equation. The time evolution technique is applied to the inverse-iteration method that provides a systematic way to calculate not only eigenvalues of the ground-state but also of the excited-states. This method systematically produces eigenvalues with the accuracy of eleven digits when the Cornell potential is used. An absolute error estimation technique is implemented based on a power counting rule. This method is examined on exactly solvable problems and produces the numerical accuracy down to 10-1110-11.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Daekyoung Kang, E. Won,