The One-dimensional Spinless Relativistic Coulomb Problem
نویسندگان
چکیده
Motivated by a recent analysis which presents explicitly the general solution, we consider the eigenvalue problem of the spinless Salpeter equation with a (“hard-core amended”) Coulomb interaction potential in one dimension. We prove the existence of a critical coupling constant (which contradicts the assertions of the previous analysis) and give analytic upper bounds on the energy eigenvalues. These upper bounds seem to disprove the previous explicit solution. PACS : 03.65.Ge, 03.65.Pm ∗ E-mail : [email protected] † E-mail : [email protected]
منابع مشابه
Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation
In this paper, we construct an analytical solution of the one-dimensional spinless Salpeter equation with a Coulomb potential supplemented by a hard core interaction, which keeps the particle in the x positive region. 03.65.Pm,03.65.Ge Typeset using REVTEX Chercheur I.I.S.N. E-mail: [email protected] 1
متن کاملPath Integral for Relativistic Three-Dimensional Spinless Aharonov-Bohm-Coulomb System
The path integral for relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude. PACS: 03.20.+i; 04.20.Fy; 02.40.+m ∗e-mail:[email protected]
متن کاملep - t h / 97 08 14 4 v 1 2 7 A ug 1 99 7 Path Integral for Relativistic Three - Dimensional Spinless Aharonov - Bohm - Coulomb System
The path integral for relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
متن کاملA Variational Approach to the Spinless Relativistic Coulomb Problem
By application of a straightforward variational procedure we derive a simple, analytic upper bound on the ground-state energy eigenvalue of a semirelativistic Hamiltonian for (one or two) spinless particles which experience some Coulomb-type interaction.
متن کاملVariational approach to the spinless relativistic Coulomb problem.
By application of a straightforward variational procedure we derive a simple, analytic upper bound on the ground-state energy eigenvalue of a semirelativistic Hamiltonian for (one or two) spinless particles which experience some Coulomb-type interaction. 1
متن کامل