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math-ph2011★ 2 cited
A symmetry trip from Caldirola to Bateman damped systems
V. Aldaya, F. Cossío, J. Guerrero +1
For the Caldirola-Kanai system, describing a quantum damped harmonic oscillator, a couple of constant-of-motion operators generating the Heisenberg algebra can be found. The inclus…
math-ph2002★ 7 cited
Revisited gauge principle: towards a unification of space-time and internal gauge interactions
V. Aldaya, J. L. Jaramillo, J. Guerrero
The minimal coupling principle is revisited under the quantum perspectives of the space-time symmetry. This revision is better realized on a Group Approach to Quantization (GAQ) wh…
math-ph1997
Quantization on a Lie group: Higher-order Polarizations
V. Aldaya, J. Guerrero, G. Marmo
Contents * Introduction -- Why -extended phase space? -- Why central extensions of classical symmetries? * Central extension \Gt of a group -- Group cohomology -- Cohomolo…