Zobrazeno 1 - 10
of 96
pro vyhledávání: '"G. Rideau"'
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, 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
Publikováno v:
Journal of Physics A: Mathematical and General. 29:4105-4125
The R-matrix method is applied to the one-dimensional oscillator group. The resulting quantum groups and dual algebras are characterized. It is shown that both bosonic and fermionic dual algebras occur and that true deformations of the bosonic and fe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d0bbb36ce954e4d5520323662f5444c
https://doi.org/10.1088/0305-4470/29/14/031
https://doi.org/10.1088/0305-4470/29/14/031
Publikováno v:
Letters in Mathematical Physics. 34:149-158
An analysis is presented of the cohomological underpinnings for the Weyl group of the canonical commutation relations on manifolds of constant negative curvature. Several uniqueness results are obtained leading from purely classical considerations to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8487209f5b5f11c07c6a7b0be8e5271b
https://doi.org/10.1007/bf00739093
https://doi.org/10.1007/bf00739093
Publikováno v:
Letters in Mathematical Physics. 31:159-166
TheR-matrix method is systematically applied to get several Heisenberg quantum groups depending on two or three parameters. It turns out that the associatedR-matrices have to verify a weaker form of the QYBE. Only for particular cases of quantum grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::303da20417f5881072b0f6e3cbd467b7
https://doi.org/10.1007/bf00750150
https://doi.org/10.1007/bf00750150
Autor:
P. Winternitz, G. Rideau
Publikováno v:
Journal of Mathematical Physics. 34:6030-6044
Representations of the quantum algebra suq(2) are constructed in terms of q‐special functions, defined on real O(3) spheres and real planes. They include q‐Vilenkin functions, related to little q‐Jacobi functions, q‐spherical functions, and q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbec6a389b629c221d925252df41cd86
https://doi.org/10.1063/1.530248
https://doi.org/10.1063/1.530248
Autor:
Michèle Irac-Astaud, G. Rideau
Publikováno v:
Letters in Mathematical Physics. 29:197-203
On studying various examples with one degree of freedom, we discuss the possibility of extending the classical concept of multi-Hamiltonian systems to the quantum domain. We show that an adaptation is possible in each case generally leading to distin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4590a7ae95ce8d14431667c078dd3558
https://doi.org/10.1007/bf00761107
https://doi.org/10.1007/bf00761107
Autor:
G. Rideau, Pavel Winternitz
Publikováno v:
Journal of Mathematical Physics. 34:558-570
The most general second order evolution equation ψt+F(x,t,ψψ*,ψx,ψx*,ψxx, ψxx*)=0, invariant under the Galilei, Galilei‐similitude, and Schrodinger groups in two dimensions, is constructed. A preliminary step is a classification of all possi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4285e4bbaf6c7aa85d68c42f52c423c0
https://doi.org/10.1063/1.530261
https://doi.org/10.1063/1.530261
Autor:
G. Rideau
Publikováno v:
Letters in Mathematical Physics. 24:147-153
It is shown that for q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::182f43f7dc27791a442ebd256710a7b7
https://doi.org/10.1007/bf00402678
https://doi.org/10.1007/bf00402678
Publikováno v:
Letters in Mathematical Physics. 23:79-89
The Bateman-Morse-Feshbach classical formulation of the damped oscillator is canonically quantized. The spectrum of the Hamiltonian is given. It is shown that the wavefunctions behave asymptotically as a superposition of damped oscillators when their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::894bf7673ce15296a75cb7f851e91aa8
https://doi.org/10.1007/bf01811296
https://doi.org/10.1007/bf01811296