Artículo
Abstract:
As it is well known, a certain lack of theoretical understanding of the mechanisms governing the various phenomena exists in several areas of physics. In particular, it concerns those which involve transport of charged particles in low dimensions. In this work the physics of the 2-dimensional charge transport with parallel (in plane) magnetic field is analyzed from the geometrical and algebraic viewpoint making emphasis of how the physical interpretation arises from a consistent mathematical formulation of the problem. As a new result of this investigation with respect to the current literature we explicitly show that: (i) the specific form of the low dimensional Dirac equation enforces the field solution to fulfil the Majorana condition, (ii) the quantum Hall effect is successfully explained, (iii) a new topological effect (as the described by the Aharonov–Casher theorems) is presented and (iv) the link with supersymmetrical models is briefly commented. © 2016, Pleiades Publishing, Ltd.
Registro:
| Documento: | Artículo |
| Título: | Understanding the physical systems from their underlying geometrical and topological properties |
| Autor: | Cirilo-Lombardo, D.J. |
| Filiación: | Instituto de Fisica del Plasma (INFIP), Consejo Nacional de Investigaciones Cientificas y Tecnicas CONICET, Department of Physics, FCEN—Universidad de Buenos Aires, Buenos Aires, Argentina Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russian Federation |
| Año: | 2016 |
| Volumen: | 13 |
| Número: | 1 |
| Página de inicio: | 26 |
| Página de fin: | 31 |
| DOI: | http://dx.doi.org/10.1134/S154747711601009X |
| Título revista: | Physics of Particles and Nuclei Letters |
| Título revista abreviado: | Phys. Part. Nucl. Lett. |
| ISSN: | 15474771 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15474771_v13_n1_p26_CiriloLombardo |
Referencias:
- Gross, D.J., Physics and mathematics at the frontier (1988) Proc. Nat. Acad. Sci. USA, 85, pp. 8371-8375
- Dirac, P.A.M., The Quantum Theory of the Electron (1928) Proc. R. Soc. London A, 117, pp. 610-624
- Weyl, H., (1928) Gruppentheorie und Quantenmechanik
- Majorana, E., Teoria simmetrica dell’elettrone e del positrone (1937) Nuovo Cimento, 14, pp. 171-184
- Cirilo-Lombardo, D.J., Geometrical properties of Riemannian superspaces, observables and physical states (2012) Eur. Phys. J. C, 72, p. 2079
- Aharonov, Y., Casher, A., Ground state of a spin1/2 charged particle in a two-dimensional magnetic field (1979) Phys. Rev. A, 19, pp. 2461-2462
- Moshinsky, M., Szczepaniak, A., The Dirac oscillator, (1989) J. Phys. A, 22, p. 817
- Franco-Villafane, J.A., Sadurni, E., Barkhofen, S., Kuhl, U., Mortessagne, F., Seligman, T.H., First experimental realization of the Dirac oscillator (2013) Phys. Rev. Lett., 111, p. 170405
- Cirilo-Lombardo, D. J., in preparation
Citas:
---------- APA ----------
(2016) . Understanding the physical systems from their underlying geometrical and topological properties. Physics of Particles and Nuclei Letters, 13(1), 26-31.http://dx.doi.org/10.1134/S154747711601009X
---------- CHICAGO ----------
Cirilo-Lombardo, D.J. "Understanding the physical systems from their underlying geometrical and topological properties" . Physics of Particles and Nuclei Letters 13, no. 1 (2016) : 26-31.http://dx.doi.org/10.1134/S154747711601009X
---------- MLA ----------
Cirilo-Lombardo, D.J. "Understanding the physical systems from their underlying geometrical and topological properties" . Physics of Particles and Nuclei Letters, vol. 13, no. 1, 2016, pp. 26-31.http://dx.doi.org/10.1134/S154747711601009X
---------- VANCOUVER ----------
Cirilo-Lombardo, D.J. Understanding the physical systems from their underlying geometrical and topological properties. Phys. Part. Nucl. Lett. 2016;13(1):26-31.http://dx.doi.org/10.1134/S154747711601009X
