2003/07/14 by V. V. Borzov, E. V. Damaskinsky
Mathematics · #math.QA #math.CA
published as Zapiski Nauchn. Semin. POMI, vol.285, 39-52 (2002) · No figures, Latex2e
arxiv created 2003/07/14 · arxiv updated 2009/12/01
A new oscillator-like system called by the Legendre oscillator is introduced in this note. The two families of coherent states (coherent states as eigenvectors of the annihilation operator and the Klauder-Gazeau temporally stable coherent states) are defined and investigated for this oscillator.