Journal article
Nonperturbative method for treating square root operators in relativistic quantum theories
Journal of computational physics, Vol.70(1), pp.117-137
05/01/1987
DOI: 10.1016/0021-9991(87)90004-0
Abstract
Numerical methods are developed for computing the discrete spectrum associated with a square root kinetic energy operator. These types of equations are encountered in relativistic quantum mechanical models. We reformulate the dynamical equation into an equivalent equation involving bounded operators. We strongly approximate these operators using matrix elements of operators that do not involve square roots. The method works in both momentum and configuration space. We test the method for a strong Coulomb interaction and for a quark-antiquark potential. We discuss relativistic corrections to the kinetic energy for systems of light quarks.
Details
- Title: Subtitle
- Nonperturbative method for treating square root operators in relativistic quantum theories
- Creators
- W.N Polyzou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of computational physics, Vol.70(1), pp.117-137
- Publisher
- Elsevier Inc
- DOI
- 10.1016/0021-9991(87)90004-0
- ISSN
- 0021-9991
- eISSN
- 1090-2716
- Language
- English
- Date published
- 05/01/1987
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984429042602771
Metrics
1 Record Views