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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
On a class of n-Leibniz deformations of the simple Filippov algebras |
Type |
Journal Article |
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Year |
2011 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
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Volume |
52 |
Issue |
2 |
Pages |
023521 - 13pp |
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Keywords |
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Abstract |
We study the problem of infinitesimal deformations of all real, simple, finite-dimensional Filippov (or n-Lie) algebras, considered as a class of n-Leibniz algebras characterized by having an n-bracket skewsymmetric in its n-1 first arguments. We prove that all n > 3 simple finite-dimensional Filippov algebras (FAs) are rigid as n-Leibniz algebras of this class. This rigidity also holds for the Leibniz deformations of the semisimple n = 2 Filippov (i.e., Lie) algebras. The n = 3 simple FAs, however, admit a nontrivial one-parameter infinitesimal 3-Leibniz algebra deformation. We also show that the n >= 3 simple Filippov algebras do not admit nontrivial central extensions as n-Leibniz algebras of the above class. |
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Address |
[de Azcarraga, Jose A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Amer Inst Physics |
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English |
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ISSN |
0022-2488 |
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Notes |
ISI:000287811800050 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
558 |
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Author |
Navarro, J.; Mateo, D.; Barranco, M.; Sarsa, A. |
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Title |
Mg impurity in helium droplets |
Type |
Journal Article |
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Year |
2012 |
Publication |
Journal of Chemical Physics |
Abbreviated Journal |
J. Chem. Phys. |
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Volume |
136 |
Issue |
5 |
Pages |
054301 - 9pp |
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Keywords |
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Abstract |
Within the diffusion Monte Carlo approach, we have determined the structure of isotopically pure and mixed helium droplets doped with one magnesium atom. For pure He-4 clusters, our results confirm those of Mella et al. [J. Chem. Phys. 123, 054328 (2005)1 that the impurity experiences a transition from a surface to a bulk location as the number of helium atoms in the droplet increases. Contrarily, for pure He-3 clusters Mg resides in the bulk of the droplet due to the smaller surface tension of this isotope. Results for mixed droplets are presented. We have also obtained the absorption spectrum of Mg around the 3s3p P-1(1) <- 3s(2) S-1(0) transition. |
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Address |
[Sarsa, A.] Univ Cordoba, Dept Fis, Fac Ciencias, E-14071 Cordoba, Spain, Email: fa1sarua@uco.es |
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Publisher |
Amer Inst Physics |
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English |
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ISSN |
0021-9606 |
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Notes |
WOS:000300547200018 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
921 |
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Author |
Bernal, A.; Perez, A. |
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Title |
Analytic behavior of the QED polarizability function at finite temperature |
Type |
Journal Article |
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Year |
2012 |
Publication |
AIP Advances |
Abbreviated Journal |
AIP Adv. |
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Volume |
2 |
Issue |
1 |
Pages |
012152 - 9pp |
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Keywords |
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Abstract |
We revisit the analytical properties of the static quasi-photon polarizability function for an electron gas at finite temperature, in connection with the existence of Friedel oscillations in the potential created by an impurity. In contrast with the zero temperature case, where the polarizability is an analytical function, except for the two branch cuts which are responsible for Friedel oscillations, at finite temperature the corresponding function is non analytical, in spite of becoming continuous everywhere on the complex plane. This effect produces, as a result, the survival of the oscillatory behavior of the potential. We calculate the potential at large distances, and relate the calculation to the non-analytical properties of the polarizability. |
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Address |
[Bernal, A.] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08028 Barcelona, Spain |
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Publisher |
Amer Inst Physics |
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English |
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ISSN |
2158-3226 |
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Notes |
WOS:000302225400070 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
983 |
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Author |
Mateo, D.; Pi, M.; Navarro, J.; Toennies, J.P. |
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Title |
A density functional study of the structure of small OCS@He-3(N) clusters |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Chemical Physics |
Abbreviated Journal |
J. Chem. Phys. |
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Volume |
138 |
Issue |
4 |
Pages |
044321 - 8pp |
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Abstract |
Kohn-Sham density functional calculations are reported for the structures of clusters consisting of a carbonyl sulfide (OCS) molecule with N = 1, 8, 18, and 40 attached He-3 atoms. The N = 1 cluster ground state is highly localized at the molecular waist (donut ring position), but for higher levels of excitation becomes increasingly delocalized. The first magic cluster with 8 atoms has a significant density at both ends of the molecule in addition to the donut ring. With N = 18 He-3 atoms the molecule is enclosed by a magic number closed shell. Another magic stable structure consisting of two nearly isotropically spherical closed shells is found at N = 40. A comparison with calculations for the same sized He-4 clusters show some important similarities, e. g., pile up at the donut ring position but altogether a more diffuse, less anisotropic structure. These results are discussed in the light of the recently analyzed infrared spectra measured in large pure He-3 droplets (N approximate to 1.2 x 10(4)) [B. Sartakov, J. P. Toennies, and A. F. Vilesov, J. Chem. Phys. 136, 134316 (2012)]. The moments of inertia of the 11 atom spherical shell structure, which is consistent with the experimental spectrum, lies between the predicted moments of inertia for N = 8 and N = 18 clusters. Overall the calculations reveal that the structures and energies of small doped He-3 are only slightly more diffuse and less energetic than the same He-4 clusters. |
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Address |
[Mateo, David; Pi, Marti] Univ Barcelona, Fac Fis, Dept ECM, E-08028 Barcelona, Spain |
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Publisher |
Amer Inst Physics |
Place of Publication |
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English |
Summary Language |
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Original Title |
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Series Editor |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0021-9606 |
ISBN |
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Expedition |
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Conference |
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Notes |
WOS:000314725900038 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1337 |
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Author |
Leal, A.; Mateo, D.; Pi, M.; Barranco, M.; Navarro, J. |
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Title |
The structure of mixed He-3-He-4 droplets doped with OCS: A density functional approach |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Chemical Physics |
Abbreviated Journal |
J. Chem. Phys. |
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Volume |
139 |
Issue |
17 |
Pages |
174308 - 6pp |
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Keywords |
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Abstract |
We have investigated the structure and energetics of mixed He-3-He-4 droplets doped with a carbonyl sulfide molecule within a density functional approach considering a small but finite temperature of 0.1 K. The molecule is treated as an external field to which the helium droplet is attached. The energetics and appearance of these droplets are discussed for selected numbers of helium atoms, identifying the first magic numbers of the fermionic component. |
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Address |
[Leal, Antonio; Mateo, David; Pi, Marti; Barranco, Manuel] Univ Barcelona, Fac Fis, Dept ECM, E-08028 Barcelona, Spain |
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Corporate Author |
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Thesis |
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Publisher |
Amer Inst Physics |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0021-9606 |
ISBN |
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Medium |
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Conference |
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Notes |
WOS:000326922300022 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1658 |
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