Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Ducati, Gisele"'
Autor:
De Leo, Stefano, Ducati, Gisele C.
Publikováno v:
The European Jurnal Physics Plus 136, 733-12 (2020)
We investigate the lateral displacement of electronic waves when partially and totally reflected by a quaternionic potential. Following the analogy between Quantum Mechanics and Optics we introduce a refractive index for the complex and the pure quat
Externí odkaz:
http://arxiv.org/abs/2010.00460
Publikováno v:
Eur. Phys. J. Plus (2019) 134: 113
In this paper we present a perturbation theory for constant quaternionic potentials. The effects of quaternionic perturbations are explicitly treated for bound states of hydrogen atom, infinite potential well and harmonic oscillator. Comparison with
Externí odkaz:
http://arxiv.org/abs/1903.07719
Publikováno v:
Journal of Physical Mathematics 6, 1000130-6 (2015)
The scattering of a Dirac particle has been studied for a quaternionic potential step. In the potential region an additional diffusion solution is obtained. The quaternionic solution which generalizes the complex one presents an amplification of the
Externí odkaz:
http://arxiv.org/abs/1505.01807
Autor:
Ducati, Gisele Cristina
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientadores : Stefano de Leo, Pietro Rotelli
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-01T02:48:01Z (GMT). No. of bitstreams: 1
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-01T02:48:01Z (GMT). No. of bitstreams: 1
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/306897
Autor:
De Leo, Stefano, Ducati, Gisele
Publikováno v:
Journal of Mathematical Physics 54,122109-9 (2013)
By using the analogy between optics and quantum mechanics, we obtain the Snell law for the planar motion of quantum particles in the presence of quaternionic potentials.
Comment: 11 pages, 3 figures
Comment: 11 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/1401.4116
Autor:
De Leo, Stefano, Ducati, Gisele
Publikováno v:
Journal of Physics A 45, 315203-17 (2012)
By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the hermiticity of such operators. Previous difficulties in formulating a con
Externí odkaz:
http://arxiv.org/abs/1208.4999
Autor:
De Leo, Stefano, Ducati, Gisele
Publikováno v:
Journal of Mathematical Physics 53, 022102-8 (2012)
In looking for quaternionic violations of quantum mechanics, we discuss the delay time for pure quaternionic potentials. The study shows in which energy region it is possible to amplify the difference between quaternionic and complex quantum mechanic
Externí odkaz:
http://arxiv.org/abs/1204.2414
Autor:
Ducati, Gisele Cristina
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientador: Edmundo Capelas de Oliveira
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica
Made available in DSpace on 2018-07-21T03:23:59Z (GMT). No. of bitstreams:
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica
Made available in DSpace on 2018-07-21T03:23:59Z (GMT). No. of bitstreams:
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/307006
Publikováno v:
Journal of Mathematical Physics 51, 113504-10 (2010)
In this paper, we analyze, by using a matrix approach, the dynamics of a non-relativistic particle in presence of a quaternionic potential barrier. The matrix method used to solve the quaternionic Schrodinger equation allows to obtain a closed formul
Externí odkaz:
http://arxiv.org/abs/1012.4613
Autor:
De Leo, Stefano, Ducati, Gisele C.
Publikováno v:
J. Math. Phys. 48, 025111-10 (2007)
We compare the behavior of a wave packet in the presence of a complex and a pure quaternionic potential step. This analysis, done for a gaussian convolution function, sheds new light on the possibility to recognize quaternionic deviations from standa
Externí odkaz:
http://arxiv.org/abs/0706.0228