Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Michèle Irac-Astaud"'
Autor:
Michèle Irac-Astaud
Publikováno v:
Reviews in Mathematical Physics. 13:1437-1457
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 obtaine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5348630260394e8c00777f5ca1b25b22
https://doi.org/10.1142/s0129055x01000995
https://doi.org/10.1142/s0129055x01000995
Autor:
J. Bertrand, Michèle Irac-Astaud
Publikováno v:
Czechoslovak Journal of Physics. 51:1272-1278
The Perelomov coherent states ofSU(1,1) are labeled by elements of the quotient ofSU(1,1) by its rotation 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 co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0168a1617016ec105e29b63d8ce4ac59
https://doi.org/10.1023/a:1013353516166
https://doi.org/10.1023/a:1013353516166
Autor:
Michèle Irac-Astaud, Christiane Quesne
Publikováno v:
Czechoslovak Journal of Physics. 50:91-96
We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and the corresponding eigenstates, as in other approaches, but also to cal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c27d22a3e7f1ac1634c4ebae4a0a8137
https://doi.org/10.1023/a:1022829132541
https://doi.org/10.1023/a:1022829132541
Autor:
G. Rideau, Michèle Irac-Astaud
Publikováno v:
Reports on Mathematical Physics. 43:137-145
Deformed Harmonic Oscillator Algebras (DHOA) are generated by four operators: two mutually adjoint a and a†, self-adjoint N, and the unity 1. The Bargmann-Hilbert space is defined as a space of functions, holomorphic in a ring of the complex plane,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67602702d4d0db201073550c9b3f81b5
https://doi.org/10.1016/s0034-4877(99)80022-6
https://doi.org/10.1016/s0034-4877(99)80022-6
Autor:
Michèle Irac-Astaud, Christiane Quesne
Publikováno v:
Letters in Mathematical Physics. 50:163-176
We propose a q-deformation of the \( \mathfrak{s}\mathfrak{u}\left( 2 \right) \)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and the corresponding eigenstates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f0e455f5832ab1add0fef4581aa7496
https://doi.org/10.1023/a:1007625428884
https://doi.org/10.1023/a:1007625428884
Autor:
Michèle Irac-Astaud, Christiane Quesne
Publikováno v:
Czechoslovak Journal of Physics. 48:1363-1368
Some time ago, Rideau and Winternitz introduced a realization of the quantum algebra su_q(2) on a real two-dimensional sphere, or a real plane, and constructed a basis for its representations in terms of q-special functions, which can be expressed in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fb3dd6741001ba5242b2ea67730f559
https://doi.org/10.1023/a:1021696904231
https://doi.org/10.1023/a:1021696904231
Autor:
Michèle Irac-Astaud, G. Rideau
Publikováno v:
Czechoslovak Journal of Physics. 47:1179-1186
Generalizing the case of the usual harmonic oscillator, we look for Bargmann representations corresponding to deformed harmonic oscillators. Deformed harmonic oscillator algebras are generated by four operators a, a †, N and the unity 1 such as [a,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b847cb4aa9edc23705354fcff46cd2e1
https://doi.org/10.1023/a:1021670419793
https://doi.org/10.1023/a:1021670419793
Autor:
Michèle Irac-Astaud
Publikováno v:
Czechoslovak Journal of Physics. 47:17-24
We define a three-parameter deformation of the Weyl-Heisenberg algebra that generalizes the q-oscillator algebra. By a purely algebraical procedure, we set up on this quantum space two differential calculi that are shown to be invariant on the same q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ee8c0e85162d63f4a41d54beb988d32
https://doi.org/10.1023/a:1021483726076
https://doi.org/10.1023/a:1021483726076
Autor:
Michèle Irac-Astaud
Publikováno v:
Czechoslovak Journal of Physics. 46:179-186
We set upsuq(2)-invariant Schrodinger equations within the usual framework of quantum mechanics. We show that the stationary equations reduce to radial ordinary differential equations by using the q-Spherical Harmonics. We apply these results to defo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22a38fc6ebcfc52fa7ceb637825d1091
https://doi.org/10.1007/bf01688809
https://doi.org/10.1007/bf01688809
Autor:
Michèle Irac-Astaud
Publikováno v:
Letters in Mathematical Physics. 36:169-176
By deforming the Hamiltonian of a spinless particle in a central potential we set up suq(2)-invariant Schrodinger equations within the usual framework of quantum mechanics. Different deformations correspond to a given Hamiltonian. We explicitly solve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1f9bb1c3ae9232ed6cacf5fed952bdf
https://doi.org/10.1007/bf00714379
https://doi.org/10.1007/bf00714379