arXiv subjects

Michele Irac-Astaud

Publications and source records attributed to Michele Irac-Astaud.

2 recordsLinked to original sources

arXiv2002

Characterization of SU(1,1) coherent states in terms of affine group wavelets

The Perelomov coherent states of SU(1,1) are labeled by elements of the quotient of SU(1,1) by the compact subgroup. Taking advantage of the fact that this quotient is isomorphic to the affine group of the real line, we are able to parameterize the coherent states by elements of that group or equivalently by points in the half-plane. Such a formulation permits to find new properties of the SU(1,1) coherent states and to relate them to affine wavelets.

math-ph↗

arXiv2000

Molecular-Coherent-States and Molecular-Fundamental-States

New families of Molecular-Coherent-States are constructed by the Perelomov group-method. Each family is generated by a Molecular-Fundamental-State that depends on an arbitrary sequence of complex numbers cj. Two of these families were already obtained by D.Janssen and by J. A. Morales, E. Deumens and Y. Ohrn. The properties of these families are investigated and we show that most of them are independent on the cj.

quant-ph↗