Zobrazeno 1 - 10
of 46
pro vyhledávání: '"A. N. F. Aleixo"'
Autor:
A. N. F. Aleixo, A. B. Balantekin
Publikováno v:
Journal of Mathematical Physics. 60:052102
Using an expanded algebraic formalism with the inclusion of inverse operators, we construct raised and decreased coherent states for a set of exactly solvable quantum confined systems. We assume in this procedure both the ladder-operator and the disp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::967f50ad6ee6d0624ac5de4f60b7269f
https://doi.org/10.1063/1.5037599
https://doi.org/10.1063/1.5037599
Autor:
A. N. F. Aleixo, A. B. Balantekin
Publikováno v:
Journal of Mathematical Physics. 60:012105
We consider quantum confined systems represented by supersymmetric quantum mechanics where the Hamiltonians are products of two operators. We introduce inverses of these operators as well as pair operators, which are products of the original operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92d1cb77edfb7d93e9b1421cba32875e
https://doi.org/10.1063/1.5037792
https://doi.org/10.1063/1.5037792
Autor:
A. B. Balantekin, A N F Aleixo
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:8417-8439
A class of bound-state problems which represents the coupling of a three-level atom with a two-dimensional system involving two shape-invariant potentials was introduced in a previous paper. In this paper, we considered second-order parasupersymmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f8e6345ef240d86deb4d0a2ebdbd92
https://doi.org/10.1088/1751-8113/40/29/016
https://doi.org/10.1088/1751-8113/40/29/016
Autor:
A N F Aleixo, A. B. Balantekin
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:6433-6449
A class of bound-state problems which represents the coupling of a three-level atom with a two-dimensional system involving two shape-invariant potentials is introduced. We consider second-order parasupersymmetric quantum-mechanical models and, using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1885ce9dc339f12cf43351e7a0a034da
https://doi.org/10.1088/1751-8113/40/24/011
https://doi.org/10.1088/1751-8113/40/24/011
Autor:
A. B. Balantekin, A N F Aleixo
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:5105-5126
We obtain the Robertson–Schrodinger uncertainty relation for shape-invariant systems and construct generalized Robertson intelligent states for these systems using an algebraic approach based on the supersymmetric quantum mechanics. Using the varia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b71183250c7ed2038de84fd21b568bf3
https://doi.org/10.1088/1751-8113/40/19/011
https://doi.org/10.1088/1751-8113/40/19/011
Autor:
A N F Aleixo, A. B. Balantekin
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:3933-3957
A class of bound-state problems which represent the coupling of a two-level atom with a two-dimensional supersymmetric system involving two shape-invariant potentials was introduced in a previous paper. We study in this second paper the quantum dynam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81030683a1106e8fc532b3bcd518fbbd
https://doi.org/10.1088/1751-8113/40/14/012
https://doi.org/10.1088/1751-8113/40/14/012
Autor:
A N F Aleixo, A. B. Balantekin
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:3915-3931
A class of bound-state problems which represents the coupling of a two-level atom with a two-dimensional supersymmetric system involving two shape-invariant potentials is introduced. We study two models with different coupling Hamiltonians.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8678e6858c0d1c9fe07c2fc9b81e3ea1
https://doi.org/10.1088/1751-8113/40/14/011
https://doi.org/10.1088/1751-8113/40/14/011
Autor:
A. B. Balantekin, A N F Aleixo
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:3463-3480
Generalized coherent states for primary shape invariant potential systems quantum deformed by different models are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show that this generalized formalism is able (a)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5db1f8788358b4447bb37e41b7e0aeca
https://doi.org/10.1088/1751-8113/40/13/012
https://doi.org/10.1088/1751-8113/40/13/012
Autor:
A. B. Balantekin, A N F Aleixo
Publikováno v:
Journal of Physics A: Mathematical and General. 38:8603-8631
The quantum dynamics of a two-level system coupled to a shape-invariant potential is investigated. Shape-invariant potentials share an integrability condition called shape invariance which identifies an underlying algebraic structure, in general infi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::61461e1e98f1c7a226cf870d6fc9adf6
https://doi.org/10.1088/0305-4470/38/40/009
https://doi.org/10.1088/0305-4470/38/40/009
Publikováno v:
Journal of Physics A: Mathematical and General. 36:11631-11641
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d056b28a1453722490c2328ee2363a54
https://doi.org/10.1088/0305-4470/36/46/007
https://doi.org/10.1088/0305-4470/36/46/007