67 citations · 129 across the 11 of their papers we have counts for
11 papers
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…
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…
Recurrence relations for relativistic two centre matrix elements
A. C. Ilarraza-Lomelí, R. P. Martínez-y-Romero, H. N. Núñez-Yépez +2
Recursion formulae are derived for the calculation of two centre matrix elements of a radial function in relativistic quantum mechanics. The recursions are obtained between not nec…
New recursion relations of matrix elements of and between relativistic hydrogenic eigenstates
R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito
We determine exact recurrence relations which help in the evaluation of matrix elements of powers of the radial coordinate between Dirac relativistic hydrogenic eigenstates. The po…
A useful form of the recurrence relation between relativistic atomic matrix elements of radial powers
R P Martínez-y-Romero, H N Núñez-Yépez, A L Salas-Brito
Recently obtained recurrence formulae for relativistic hydrogenic radial matrix elements are cast in a simpler and perhaps more useful form. This is achieved with the help of a new…
New non-unitary representations in a Dirac hydrogen atom
R. P. Martínez-y-Romero, J. Saldaña-Vega, A. L. Salas-Brito
New non-unitary representations of the SU(2) algebra are introduced for the case of the Dirac equation with a Coulomb potential; an extra phase, needed to close the algebra, is als…
Recurrence relation for relativistic atomic matrix elements
R P Martínez-y-Romero, H N Núñez-Yépez, A L Salas-Brito
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic e…
Simple quantum systems in the momentum representation
H. N. Núñez-Yépez, E. Guillaumín-España, R. P. Martínez-y-Romero +1
The momentum representation is seldom used in quantum mechanics courses. Some students are thence surprised by the change in viewpoint when, in doing advanced work, they have to us…
Relativistic quantum mechanics of a Dirac oscillator
R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito
The Dirac oscillator is an exactly soluble model recently introduced in the context of many particle models in relativistic quantum mechanics. The model has been also considered as…
From circular paths to elliptic orbits: A geometric approach to Kepler's motion
A. González-Villanueva, E. Guillaumín-España, R. P. Martínez-y-Romero +2
The hodograph, i.e. the path traced by a body in velocity space, was introduced by Hamilton in 1846 as an alternative for studying certain dynamical problems. The hodograph of the…
Non-unitary representations of the SU(2) algebra in the Dirac equation with a Coulomb potential
R. P. Martínez-y-Romero, A. L. Salas-Brito, Jaime Saldaña-Vega
A novel realization of the classical SU(2) algebra is introduced for the Dirac relativistic hydrogen atom defining a set of operators that, besides, allow the factorization of the…