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Artículo

Relativistic dynamics, Green function and pseudodifferential operators

Cirilo, Diego JulioIcon
Fecha de publicación: 05/2016
Editorial: American Institute of Physics
Revista: Journal Of Mathematical Physics
ISSN: 0022-2488
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Astronomía; Física de Partículas y Campos; Física de los Fluidos y Plasma

Resumen

The central role played by pseudodifferential operators in relativistic dynamics is known very well. In this work, operators like the Schrodinger one (e.g., square root) are treated from the point of view of the non-local pseudodifferential Green functions. Starting from the explicit construction of the Green (semigroup) theoretical kernel, a theorem linking the integrability conditions and their dependence on the spacetime dimensions is given. Relativistic wave equations with arbitrary spin and the causality problem are discussed with the algebraic interpretation of the radical operator and their relation with coherent and squeezed states. Also we perform by means of pure theoretical procedures (based in physical concepts and symmetry) the relativistic position operator which satisfies the conditions of integrability: it is a non-local, Lorentz invariant and does not have the same problems as the “local”position operator proposed by Newton and Wigner. Physical examples, as zitterbewegung and rogue waves, are presented and deeply analyzed in this theoretical framework.
Palabras clave: Pseudodifferential Operators , Relativistic Green Functions , Relativistic Wave Equations , Group Theory
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/19290
DOI: http://dx.doi.org/10.1063/1.4953368
URL: http://aip.scitation.org/doi/10.1063/1.4953368
Colecciones
Articulos(INFINA)
Articulos de INST.DE FISICA DEL PLASMA
Citación
Cirilo, Diego Julio; Relativistic dynamics, Green function and pseudodifferential operators; American Institute of Physics; Journal Of Mathematical Physics; 57; 6; 5-2016; 1-16; 063503
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