Physics – Quantum Physics
Scientific paper
2003-11-27
Progress in Theoretical Chemistry and Physics Vol 12, Advanced Topics in Theoretical Chemical Physics, ed. J. Maruani, R. Lefe
Physics
Quantum Physics
15 pages, LaTeX, 6 postscript figures
Scientific paper
The predictions for the shell structure of metal clusters of the three-dimensional q-deformed harmonic oscillator (3D q-HO), utilizing techniques of quantum groups and having the symmetry Uq(3)$\supset$SOq(3), are compared to the restrictions imposed by the periodic orbit theory of Balian and Bloch, of electrons moving in a spherical cavity. It is shown that agreement between the predictions of the two models is established through the introduction of an additional term to the Hamiltonian of the 3D q-HO, which does not influence the predictions for supershells. This term preserves the Uq(3)$\supset$SOq(3) symmetry, while in addition it can be derived through a variational procedure, analogous to the one leading from the usual harmonic oscillator to the Morse oscillator by introducing the concept of the Variable Frequency Oscillator (VFO).
Bonatsos Dennis
Lenis D.
Raychev P. P.
Terziev P. A.
No associations
LandOfFree
Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519556