Abstract
The (h/2{pi})-expansion method, proposed earlier for deriving Regge trajectories for bound states of central potentials in the Schroedinger equation framework, is extended to the Klein-Gordon and Dirac equations with potentials having vector and scalar components. The simple recursion formulae, with the same form both for the parent and daughter Regge trajectories, are obtained. They provide, in principle, the calculation of the (h/2{pi})-expansion terms up to an arbitrary order. As an illustration, a superposition of the vector and scalar Coulomb potentials, and the funnel-shaped potential are treated with the technique developed. 20 refs.; 3 figs.; 1 table. (author).
Citation Formats
Stepanov, S S, and Tutik, R S.
The ({Dirac_h}/2{pi})-expansion for Regge-trajectories. 2. Relativistic equations. 2. Relativistic equations.
Ukraine: N. p.,
1992.
Web.
Stepanov, S S, & Tutik, R S.
The ({Dirac_h}/2{pi})-expansion for Regge-trajectories. 2. Relativistic equations. 2. Relativistic equations.
Ukraine.
Stepanov, S S, and Tutik, R S.
1992.
"The ({Dirac_h}/2{pi})-expansion for Regge-trajectories. 2. Relativistic equations. 2. Relativistic equations."
Ukraine.
@misc{etde_10132327,
title = {The ({Dirac_h}/2{pi})-expansion for Regge-trajectories. 2. Relativistic equations. 2. Relativistic equations}
author = {Stepanov, S S, and Tutik, R S}
abstractNote = {The (h/2{pi})-expansion method, proposed earlier for deriving Regge trajectories for bound states of central potentials in the Schroedinger equation framework, is extended to the Klein-Gordon and Dirac equations with potentials having vector and scalar components. The simple recursion formulae, with the same form both for the parent and daughter Regge trajectories, are obtained. They provide, in principle, the calculation of the (h/2{pi})-expansion terms up to an arbitrary order. As an illustration, a superposition of the vector and scalar Coulomb potentials, and the funnel-shaped potential are treated with the technique developed. 20 refs.; 3 figs.; 1 table. (author).}
place = {Ukraine}
year = {1992}
month = {Dec}
}
title = {The ({Dirac_h}/2{pi})-expansion for Regge-trajectories. 2. Relativistic equations. 2. Relativistic equations}
author = {Stepanov, S S, and Tutik, R S}
abstractNote = {The (h/2{pi})-expansion method, proposed earlier for deriving Regge trajectories for bound states of central potentials in the Schroedinger equation framework, is extended to the Klein-Gordon and Dirac equations with potentials having vector and scalar components. The simple recursion formulae, with the same form both for the parent and daughter Regge trajectories, are obtained. They provide, in principle, the calculation of the (h/2{pi})-expansion terms up to an arbitrary order. As an illustration, a superposition of the vector and scalar Coulomb potentials, and the funnel-shaped potential are treated with the technique developed. 20 refs.; 3 figs.; 1 table. (author).}
place = {Ukraine}
year = {1992}
month = {Dec}
}