Abstract
The problem of calculating the energy spectrum of a two-fermion bound state within the Bethe-Salpeter formalism is discussed. An expansion of the kernel of the spinor-spinor Bethe-Salpeter equation in the ladder approximation is found in terms of a bi-orthogonal basis of the generalized Gilbert-Schmidt series for symmetric equations of the Fredholm type. According to this expansion, a new method of solving the Bethe-Salpeter equation and finding the mass spectrum is proposed. Methodological result of numerical solutions of equations with scalar interaction is presented. (author). 20 refs., 3 figs.
Dorkin, S M;
[1]
Kaptar`, L P;
Semikh, S S
[2]
- Dal`nevostochnyj Gosudarstvennyj Univ., Vladivostok (Russian Federation)
- Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Citation Formats
Dorkin, S M, Kaptar`, L P, and Semikh, S S.
On the energy spectrum of the Bethe-Salpeter equation; Ob ehnergeticheskom spektre uravneniya Bete-Solpitera.
JINR: N. p.,
1996.
Web.
Dorkin, S M, Kaptar`, L P, & Semikh, S S.
On the energy spectrum of the Bethe-Salpeter equation; Ob ehnergeticheskom spektre uravneniya Bete-Solpitera.
JINR.
Dorkin, S M, Kaptar`, L P, and Semikh, S S.
1996.
"On the energy spectrum of the Bethe-Salpeter equation; Ob ehnergeticheskom spektre uravneniya Bete-Solpitera."
JINR.
@misc{etde_529213,
title = {On the energy spectrum of the Bethe-Salpeter equation; Ob ehnergeticheskom spektre uravneniya Bete-Solpitera}
author = {Dorkin, S M, Kaptar`, L P, and Semikh, S S}
abstractNote = {The problem of calculating the energy spectrum of a two-fermion bound state within the Bethe-Salpeter formalism is discussed. An expansion of the kernel of the spinor-spinor Bethe-Salpeter equation in the ladder approximation is found in terms of a bi-orthogonal basis of the generalized Gilbert-Schmidt series for symmetric equations of the Fredholm type. According to this expansion, a new method of solving the Bethe-Salpeter equation and finding the mass spectrum is proposed. Methodological result of numerical solutions of equations with scalar interaction is presented. (author). 20 refs., 3 figs.}
place = {JINR}
year = {1996}
month = {Dec}
}
title = {On the energy spectrum of the Bethe-Salpeter equation; Ob ehnergeticheskom spektre uravneniya Bete-Solpitera}
author = {Dorkin, S M, Kaptar`, L P, and Semikh, S S}
abstractNote = {The problem of calculating the energy spectrum of a two-fermion bound state within the Bethe-Salpeter formalism is discussed. An expansion of the kernel of the spinor-spinor Bethe-Salpeter equation in the ladder approximation is found in terms of a bi-orthogonal basis of the generalized Gilbert-Schmidt series for symmetric equations of the Fredholm type. According to this expansion, a new method of solving the Bethe-Salpeter equation and finding the mass spectrum is proposed. Methodological result of numerical solutions of equations with scalar interaction is presented. (author). 20 refs., 3 figs.}
place = {JINR}
year = {1996}
month = {Dec}
}