Title :
Coherent states and uncertainty relations for generalized oscillators connected with the given families of orthogonal polynomials
Author :
Borzov, Vadim V. ; Damaskinsky, Eugene V.
Author_Institution :
Dept. of Math., St. Petersburg Univ. of Telecommun.
fDate :
May 28 2005-June 1 2005
Abstract :
We consider the uncertainty relation for an oscillator-like system connected with given family of orthogonal polynomials. It is shown, that the Barut-Girardello coherent states for such generalized oscillators are minimum uncertainty coherent states as well
Keywords :
Hilbert spaces; indeterminancy; oscillators; polynomials; Barut-Girardello coherent states; generalized oscillators; orthogonal polynomials; oscillator-like system; Coordinate measuring machines; Diffraction; Equations; Jacobian matrices; Mathematics; Oscillators; Polynomials; Seminars; Telecommunications; Uncertainty;
Conference_Titel :
Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
Conference_Location :
St.Petersburg
Print_ISBN :
5-9651-0140-6
DOI :
10.1109/DD.2005.204878
