qdeformed Lie algebras and fractional calculus
Abstract
Fractional calculus and qdeformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. For the fractional harmonic oscillator, the corresponding qnumber is derived. It is shown, that the resulting energy spectrum is an appropriate tool e.g. to describe the ground state spectra of eveneven nuclei. In addition, the equivalence of rotational and vibrational spectra for fractional qdeformed Lie algebras is shown and the $B_\alpha(E2)$ values for the fractional qdeformed symmetric rotor are calculated.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 DOI:
 10.48550/arXiv.0711.3701
 arXiv:
 arXiv:0711.3701
 Bibcode:
 2007arXiv0711.3701H
 Keywords:

 Physics  General Physics
 EPrint:
 8 pages, 3 figures