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  Conductance of open quantum billiards and classical trajectories

Nazmitdinov, R. G., Pichugin, K. N., Rotter, I., & Šeba, P. (2002). Conductance of open quantum billiards and classical trajectories. Physical Review B, 66(8): 085322. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000066000008085322000001&idtype=cvips&gifs=yes.

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Nazmitdinov, R. G.1, Autor           
Pichugin, K. N.1, Autor           
Rotter, I.1, Autor           
Šeba, P., Autor
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Semiclassics and chaos in quantum systems
 Zusammenfassung: We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner in which the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes and bouncing ball modes. In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.

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Sprache(n): eng - English
 Datum: 2002-08-15
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
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Titel: Physical Review B
  Alternativer Titel : Phys. Rev. B
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 66 (8) Artikelnummer: 085322 Start- / Endseite: - Identifikator: ISSN: 0163-1829