Closed expressions for matrix elements of the trigonometric Pöschl–Teller potential

Autor: Michael Rey, F. Michelot

Publikováno v: Physics Letters A. 374:4761-4766

Analytical matrix elements of the x n ( n > 0 ) and [ tan ( x ) ] m [ cos ( x ) ] m ′ d n / d x n operators are derived using the eigenfunctions of the symmetric trigonometric Poschl–Teller potential. The closed formulas are written in terms of G

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::03155c8311e0d34d44fd7e99bc4d2c9c
https://doi.org/10.1016/j.physleta.2010.09.056

$\mathsf{u(2) \supset su^*(2)\supset G}$ symmetry adaptation for powers of $\mathsf{E}$ irreducible representations of point groups

Autor: F. Michelot, M. Rey

Publikováno v: The European Physical Journal D. 30:181-199

Several problems in molecular spectroscopy involve two degrees of freedom to which a two dimensional irreducible representation of a point group is associated. We show that a unified treatment of such situations can be given within the u(2) represent

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b0f33fb2a59dd6a0d465c5612cdfdedc
https://doi.org/10.1140/epjd/e2004-00079-1

Su(4) approach to fourfold degenerate electronic states of some hexafluoride molecules

Autor: M. Rey, Vincent Boudon, F. Michelot

Publikováno v: Journal of Molecular Spectroscopy. 220:19-44

We show that two appropriate realizations of the su (4) algebra allow the construction of all electronic operators needed for the study of vibronic and rovibronic interactions in a G ′ electronic state. In each case a full bosonic realization is ma

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::043747424b68ee4013c36e7f11c719a7
https://doi.org/10.1016/s0022-2852(03)00099-7

Algebraic time-reversal operation

Autor: F. Michelot, Claude Leroy, V. Boujut, Hans-Rudolf Jauslin

Publikováno v: The European Physical Journal D
The European Physical Journal D, EDP Sciences, 1999, 5 (2), pp.257-265. 〈10.1007/s100500050284〉
The European Physical Journal D : Atomic, molecular, optical and plasma physics
The European Physical Journal D : Atomic, molecular, optical and plasma physics, EDP Sciences, 1999, 5 (2), pp.257-265. ⟨10.1007/s100500050284⟩

International audience; We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) U(4) K(4) = A(4) ^ S(4) S(4) Td. We determine the general form of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ceeaaaaeec79e6e795138f6410f8e053
https://doi.org/10.1007/pl00021594

Symmetrized rovibrational local states for triply degenerate modes of spherical molecules: application to intensity calculations in the v3 ladder

Autor: V. BOUJUT, F. MICHELOT, C. LEROY

Publikováno v: Molecular Physics. 93:887-900

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::41dac3bb6a93b45dd395d9543d339809
https://doi.org/10.1080/00268979809482275