67 citations · 118 across the 18 of their papers we have counts for
18 papers
Chaos and Regularity in an Anisotropic Soft Squircle Billiard
A. González-Andrade, H. N. Núñez-Yépez, M. A. Bastarrachea-Magnani
A hard-wall billiard is a mathematical model describing the confinement of a free particle that collides specularly and instantaneously with boundaries and discontinuities. Soft bi…
On the critical dipole moment in one-dimension
Benjamín Jaramillo, H. N. Núñez-Yépez, A. L. Salas-Brito
We calculate the minimum magnitude an electric dipole must have for a 1D system, interacting through the dipole, to support bound states.
An algebraic SU(1,1) solution for the relativistic hydrogen atom
R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito
The bound eigenfunctions and spectrum of a Dirac hydrogen atom are found taking advantage of the Lie algebra in which the radial part of the problem can be expressed. Fo…
Lagrangian Description of the Variational Equations
C. M. Arizmendi, J. Delgado, H. N. Núñez-Yépez +1
A variant of the usual Lagrangian scheme is developed which describes both the equations of motion and the variational equations of a system. The required (prolonged) Lagrangian is…
Noether's theorem for the variational equations
C. M. Arizmendi, J. Delgado, H. N. Núñez-Yépez +1
We introduce an generalized action functional describing the equations of motion and the variational equations for any Lagrangian system. Using this novel scheme we are able to gen…
Relativistic recursion relations for transition matrix elements
R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito
We review some recent results on recursion relations which help evaluating arbitrary non-diagonal, radial hydrogenic matrix elements of and of ( a Dirac matrix) der…