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dc.contributor.author
Rivas, Alejandro Mariano Fidel
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dc.date.available
2017-09-19T18:36:53Z
dc.date.issued
2013-06
dc.identifier.citation
Rivas, Alejandro Mariano Fidel; Semiclassical coherent-states propagator; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 6-2013; 1-11
dc.identifier.issn
1050-2947
dc.identifier.uri
http://hdl.handle.net/11336/24612
dc.description.abstract
In this work, we derived a semiclassical approximation for the matrix elements of a quantum propagator in coherent states (CS) basis that avoids complex trajectories; it only involves real ones. For that purpose, we used the symplectically invariant semiclassical Weyl propagator obtained by performing a stationary phase approximation (SPA) for the path integral in the Weyl representation. After that, for the transformation to CS representation SPA is avoided; instead a quadratic expansion of the complex exponent is used. This procedure also allows us to express the semiclassical CS propagator uniquely in terms of the classical evolution of the initial point without the need of any root search typical of van Vleck–Gutzwiller-based propagators. For the case of chaotic Hamiltonian systems, the explicit time dependence of the CS propagator has been obtained. The comparison with a realistic chaotic system that derives from a quadratic Hamiltonian, the cat map, reveals that the expression here derived is exact up to quadratic Hamiltonian systems.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Semiclasscial Physica
dc.subject
Quantum Propagator
dc.subject
Coherent States
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Semiclassical coherent-states propagator
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-09-19T14:24:42Z
dc.journal.volume
88
dc.journal.number
1
dc.journal.pagination
1-11
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.012104
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.88.012104
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1207.0012
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