Variational approach to the spinless relativistic Coulomb problem
نویسندگان
چکیده
منابع مشابه
A 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 کاملThe One-dimensional Spinless Relativistic Coulomb Problem
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....
متن کاملVariational approach to the Coulomb problem on a cylinder
We evaluate, by means of variational calculations, the bound state energy EB of a pair of charges located on the surface of a cylinder, interacting via Coulomb potential – e / r . The trial wave function involves three variational parameters. EB is obtained as a function of the reduced curvature C = a0 / R , where a0 is the Bohr radius and R is the radius of the cylinder. We find that the energ...
متن کاملComment on “analytic Solution of the Relativistic Coulomb Problem for a Spinless Salpeter Equation”
We demonstrate that the analytic solution for the set of energy eigenvalues of the semi-relativistic Coulomb problem reported by B. and L. Durand is in clear conflict with an upper bound on the ground-state energy level derived by some straightforward variational procedure.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1994
ISSN: 0556-2821
DOI: 10.1103/physrevd.50.5443