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Title: Mesoscopic Superposition States in Relativistic Landau Levels

Abstract

We show that a linear superposition of mesoscopic states in relativistic Landau levels can be built when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily superpositions of coherent states involving the particle orbital quanta in a well-defined mesoscopic regime. We demonstrate that these mesoscopic superpositions have a purely relativistic origin and disappear in the nonrelativistic limit.

Authors:
;  [1];  [2];  [3]
  1. Departamento de Fisica Teorica I, Universidad Complutense, 28040 Madrid (Spain)
  2. Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universitaet, Theresienstrasse 37, 80333 Munich (Germany)
  3. (Peru)
Publication Date:
OSTI Identifier:
21024174
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 99; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevLett.99.123602; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; CHARGED PARTICLES; DIRAC EQUATION; EIGENSTATES; MAGNETIC FIELDS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SPIN

Citation Formats

Bermudez, A., Martin-Delgado, M. A., Solano, E., and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Mesoscopic Superposition States in Relativistic Landau Levels. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.99.123602.
Bermudez, A., Martin-Delgado, M. A., Solano, E., & Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Mesoscopic Superposition States in Relativistic Landau Levels. United States. doi:10.1103/PHYSREVLETT.99.123602.
Bermudez, A., Martin-Delgado, M. A., Solano, E., and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Fri . "Mesoscopic Superposition States in Relativistic Landau Levels". United States. doi:10.1103/PHYSREVLETT.99.123602.
@article{osti_21024174,
title = {Mesoscopic Superposition States in Relativistic Landau Levels},
author = {Bermudez, A. and Martin-Delgado, M. A. and Solano, E. and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima},
abstractNote = {We show that a linear superposition of mesoscopic states in relativistic Landau levels can be built when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily superpositions of coherent states involving the particle orbital quanta in a well-defined mesoscopic regime. We demonstrate that these mesoscopic superpositions have a purely relativistic origin and disappear in the nonrelativistic limit.},
doi = {10.1103/PHYSREVLETT.99.123602},
journal = {Physical Review Letters},
number = 12,
volume = 99,
place = {United States},
year = {Fri Sep 21 00:00:00 EDT 2007},
month = {Fri Sep 21 00:00:00 EDT 2007}
}
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