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dc.contributor.author
Cirilo, Diego Julio
dc.date.available
2017-06-30T18:12:12Z
dc.date.issued
2016-05
dc.identifier.citation
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
dc.identifier.issn
0022-2488
dc.identifier.uri
http://hdl.handle.net/11336/19290
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Pseudodifferential Operators
dc.subject
Relativistic Green Functions
dc.subject
Relativistic Wave Equations
dc.subject
Group Theory
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
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Física de Partículas y Campos
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
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Física de los Fluidos y Plasma
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Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Relativistic dynamics, Green function and pseudodifferential operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-30T14:38:13Z
dc.journal.volume
57
dc.journal.number
6
dc.journal.pagination
1-16; 063503
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina
dc.journal.title
Journal Of Mathematical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.4953368
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.4953368
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