Saddle-Point Variational Method for the Dirac Equation
- 13 May 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (19) , 2068-2070
- https://doi.org/10.1103/physrevlett.54.2068
Abstract
Variational solutions are found for the Dirac equation for various potentials. The stationary energy values correspond to saddle points in parameter space. This has the effect of limiting both negative- and positive-energy contributions. Comparison with exact numerical results shows good agreement for the energy and for other expectation values.Keywords
This publication has 20 references indexed in Scilit:
- Strange-baryon spectroscopy through Bethe-Salpeter approach under harmonic confinementPhysical Review D, 1982
- Bethe-Salpeterqq¯dynamics under harmonic confinementPhysical Review D, 1982
- Bethe-Salpeter treatment of Λ, Σ resonances under harmonic ConfinementLettere al Nuovo Cimento (1971-1985), 1982
- Relativistic qqq spectra from Bethe-Salpeter premisesPhysics Letters B, 1981
- A Bethe-Salpeter basis for meson and baryon spectra under harmonic confinementThe European Physical Journal C, 1981
- Bethe-Salpeter equations forq $$\bar q$$ andqqq systems in the instantaneous approximationThe European Physical Journal C, 1981
- Do Quarks Interact Pairwise and Satisfy the Color Hypothesis?Physical Review Letters, 1980
- Nonperturbative potential model for light and heavy quark-antiquark systemsPhysical Review D, 1980
- Baryon masses from deep-inelastic scatteringPhysical Review D, 1980
- Quarkonia from charmonium and renormalization group equationsNuclear Physics B, 1978