30 citations · 42 across the 6 of their papers we have counts for
6 papers
Parity violating effects in an exotic perturbation of the rigid rotator
A. Pallares Rivera, M. Kirchbach
The perturbation of the free rigid rotator by the trigonometric Scarf potential is shown to conserve its energy excitation patterns and change only the wave functions towards spher…
Special Reduced Multiplets and Minimal Representations for SO(p,q)
V. K. Dobrev
Using our previous results on the systematic construction of invariant differential operators for non-compact semisimple Lie groups we classify the special reduced multiplets and m…
Perturbing free motions on hyper spheres without degeneracy lift
A. Pallares-Rivera, F. de J. Rosales-Aldape, M. Kirchbach
We consider quantum motion on S3 perturbed by the trigonometric Scarf potential (Scarf I) with one internal quantized dimensionless parameter, l, the ordinary orbital angular momen…
Breaking so(4) symmetry without degeneracy lift
A. Pallares-Rivera, F. de J. Rosales-Aldape, M. Kirchbach
We argue that in the quantum motion of a scalar particle of mass "m" on S^3_R perturbed by the trigonometric Scarf potential (Scarf I) with one internal quantized dimensionless par…
Symmetry and degeneracy of the curved Coulomb potential on the S3 ball
Adrian Pallares Rivera, Mariana Kirchbach
The "curved" Coulomb potential on the S3 ball, whose isometry group is SO(4), takes the form of a cotangent function, and when added to the four-dimensional squared angular momentu…
Conformal symmetry breaking and degeneracy of high-lying unflavored mesons
Mariana Kirchbach, Adrian Pallares-Rivera, Cliffor Compean +1
We show that though conformal symmetry can be broken by the dilaton, such can happen without breaking the conformal degeneracy patterns in the spectra. We departure from R^1XS^3 sl…