Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Nathalie Debergh"'
Publikováno v:
Journal of Modern Physics. 12:218-228
We extend the Poincare group to the complex Minkowski space-time. Special attention is paid to the corresponding algebra that we achieve through matrices as well as differential operators. We also point out the generalizations of the two Casimir oper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9987ff192ad98ff338f6b53fc7d68bf8
https://doi.org/10.4236/jmp.2021.123017
https://doi.org/10.4236/jmp.2021.123017
We review the standards of relativistic quantum mechanics such as the Dirac equation under the concept of negative masses. We show that negative energies are acceptable provided the masses are simultaneously negative. Negative energy and mass anti fe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1159d08636ae75602722e17e0025a483
Publikováno v:
Lighting Research & Technology. 40:243-256
A mathematical model consisting of two sets of functions is proposed in order to rebuild the whole set of the reduced luminance coefficients characterising the reflection on an arbitrary dry road surface. This model is applied to different surfaces i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6653fb0bbfcb03c72adcc4cc50fb3ba
https://doi.org/10.1177/1477153508095129
https://doi.org/10.1177/1477153508095129
Autor:
Nathalie Debergh, B. Van den Bossche
Publikováno v:
Annals of Physics. 308:605-638
We give a complete classification of at most second-order differential ladder operators preserving finite-dimensional spaces of monomials and closing under the Lie bracket to give a cubic polynomial of the diagonal generators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04f4cf3925d31978794e9109fb5b75d9
https://doi.org/10.1016/s0003-4916(03)00176-3
https://doi.org/10.1016/s0003-4916(03)00176-3
Publikováno v:
Annals of Physics. 298:361-381
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians. Both exact and quasi-exact Hamiltonians enter our formalism but we focus on quasi-exact interactio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc945f97483edc6e718b85c608807fc7
https://doi.org/10.1006/aphy.2002.6260
https://doi.org/10.1006/aphy.2002.6260
Publikováno v:
Journal of Physics A: Mathematical and General. 35:3279-3287
A matricial Darboux operator intertwining two one-dimensional stationary Dirac Hamiltonians is constructed. This operator is such that the potential of the second Dirac Hamiltonian, as well as the corresponding eigenfunctions, are determined through
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7cfdf912862cd5dc35c322974bf9f61
https://doi.org/10.1088/0305-4470/35/14/309
https://doi.org/10.1088/0305-4470/35/14/309
Autor:
A. B. Klimov, Nathalie Debergh
Publikováno v:
International Journal of Modern Physics A. 16:4057-4068
The Jaynes–Cummings model (JCM) is studied in the frame of methods of quasi-exactly solvable problems. First, we apply these methods to the JCM under RWA and anti-RWA approximations and then, we analyze the possibility of solving the whole model.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cd62ace507a94856c2f1b884abf3111
https://doi.org/10.1142/s0217751x01005146
https://doi.org/10.1142/s0217751x01005146
Autor:
Floarea Stancu, Nathalie Debergh
Publikováno v:
Journal of Physics A: Mathematical and General. 34:3265-3276
We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick in the context of deformed polynomial algebras and show that its exact solutions can be easily and naturally obtained within this formalism. The Hamiltonian matrix of each $j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c855c71aaee8023100f31ea9fdd8da1c
https://doi.org/10.1088/0305-4470/34/15/305
https://doi.org/10.1088/0305-4470/34/15/305
Publikováno v:
International Journal of Theoretical Physics. 39:1515-1527
Generalizing a recent proposal leading to one-parameter families of Hamiltoniansand to new sets of squeezed states, we construct larger classes of physicallyadmissible Hamiltonians permitting new developments in squeezing. We alsodiscuss coherence.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ff9f719449b2ba007e0ad44774376d7
https://doi.org/10.1023/a:1003684011477
https://doi.org/10.1023/a:1003684011477
Autor:
Nathalie Debergh, L. Remezo
Publikováno v:
Modern Physics Letters A. 14:2517-2523
Supplementary finite-dimensional irreducible representations of the dynamical algebra subtending the two-body Calogero model are constructed by pointing out the corresponding differential realizations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a240ca230676a5a7dbb138884a3560c8
https://doi.org/10.1142/s0217732399002625
https://doi.org/10.1142/s0217732399002625