Understanding the physical systems from their underlying geometrical and topological properties

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...

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Autor principal: Cirilo-Lombardo, D.J.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15474771_v13_n1_p26_CiriloLombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15474771_v13_n1_p26_CiriloLombardo
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spelling todo:paper_15474771_v13_n1_p26_CiriloLombardo2023-10-03T16:23:09Z Understanding the physical systems from their underlying geometrical and topological properties Cirilo-Lombardo, D.J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15474771_v13_n1_p26_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
format JOUR
author Cirilo-Lombardo, D.J.
spellingShingle Cirilo-Lombardo, D.J.
Understanding the physical systems from their underlying geometrical and topological properties
author_facet Cirilo-Lombardo, D.J.
author_sort Cirilo-Lombardo, D.J.
title Understanding the physical systems from their underlying geometrical and topological properties
title_short Understanding the physical systems from their underlying geometrical and topological properties
title_full Understanding the physical systems from their underlying geometrical and topological properties
title_fullStr Understanding the physical systems from their underlying geometrical and topological properties
title_full_unstemmed Understanding the physical systems from their underlying geometrical and topological properties
title_sort understanding the physical systems from their underlying geometrical and topological properties
url http://hdl.handle.net/20.500.12110/paper_15474771_v13_n1_p26_CiriloLombardo
work_keys_str_mv AT cirilolombardodj understandingthephysicalsystemsfromtheirunderlyinggeometricalandtopologicalproperties
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