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Semiclassical analysis spectral correlations in mesoscopic systems

Abstract

We consider the recently developed semiclassical analysis of the quantum mechanical spectral form factor, which may be expressed in terms of classically defiable properties. When applied to electrons whose classical behaviour is diffusive, the results of earlier quantum mechanical perturbative derivations, which were developed under a different set of assumptions, are reproduced. The comparison between the two derivations shows that the results depends not on their specific details, but to a large extent on the principle of quantum coherent superposition, and on the generality of the notion of diffusion. The connection with classical properties facilitates application to many physical situations. (author).
Authors:
Argaman, N; Imry, Y; Smilansky, U [1] 
  1. Weizmann Inst. of Science, Rehovoth (Israel). Dept. of Physics
Publication Date:
Jul 01, 1991
Product Type:
Technical Report
Report Number:
WIS-PH-91-38
Reference Number:
SCA: 661100; PA: AIX-23:050065; SN: 92000772272
Resource Relation:
Other Information: PBD: Jul 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRONS; MATHEMATICAL MODELS; MAGNETIC FIELDS; QUANTUM MECHANICS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10157341
Research Organizations:
Weizmann Inst. of Science, Rehovoth (Israel)
Country of Origin:
Israel
Language:
English
Other Identifying Numbers:
Other: ON: DE92634887; TRN: IL9204757050065
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
59 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Argaman, N, Imry, Y, and Smilansky, U. Semiclassical analysis spectral correlations in mesoscopic systems. Israel: N. p., 1991. Web.
Argaman, N, Imry, Y, & Smilansky, U. Semiclassical analysis spectral correlations in mesoscopic systems. Israel.
Argaman, N, Imry, Y, and Smilansky, U. 1991. "Semiclassical analysis spectral correlations in mesoscopic systems." Israel.
@misc{etde_10157341,
title = {Semiclassical analysis spectral correlations in mesoscopic systems}
author = {Argaman, N, Imry, Y, and Smilansky, U}
abstractNote = {We consider the recently developed semiclassical analysis of the quantum mechanical spectral form factor, which may be expressed in terms of classically defiable properties. When applied to electrons whose classical behaviour is diffusive, the results of earlier quantum mechanical perturbative derivations, which were developed under a different set of assumptions, are reproduced. The comparison between the two derivations shows that the results depends not on their specific details, but to a large extent on the principle of quantum coherent superposition, and on the generality of the notion of diffusion. The connection with classical properties facilitates application to many physical situations. (author).}
place = {Israel}
year = {1991}
month = {Jul}
}