5 papers
Quantization of the Linearized Kepler Problem
Julio Guerrero, Jose Miguel Perez
The linearized Kepler problem is considered, as obtained from the Kustaanheimo-Stiefel (K-S)transformation, both for negative and positive energies. The symmetry group for the Kepl…
Higher-Order Quantization on a Lie Group
V. Aldaya, J. Guerrero, G. Marmo
In this paper we are mainly concerned with the study of polarizations (in general of higher-order type) on a connected Lie group with a U(1)-principal bundle structure. The represe…
Global restrictions to the Mixing Angle
M. Calixto, V. Aldaya, J. Guerrero
We provide the theoretic value 1/2 for the quantity , as opposite to the experimental value of , in the electro-weak gau…
Algebraic Quantization on the Torus and Modular Invariance
J. Guerrero, V. Aldaya, M. Calixto
New features of systems with non-trivial topology such as fractional quantum numbers, inequivalent quantizations, good operators, topological anomalies, etc. are described in the f…
Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge Group
V. Aldaya, M. Calixto, J. Guerrero
The assumption that the Weinberg rotation between the gauge fields associated with the third component of the ``weak isospin" () and the hypercharge () proceeds in a natura…