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Heteroclinic cycles in lattice dynamical systems

Weak convergence of Dirichlet processes

Bergman type operators on a class of weakly pseudoconvex domains

Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy

Supersonic flow past a concave double wedge

Existence of subgraph with orthogonal (g,f)-factorization

Reconstruction of electron-phonon interaction function from temperature dependence of electrical resistivity for metals

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Spectra of radiation for spinless and spin relativistic particles in strong magnetic fields

Amplification and compression of Ti:sapphire femtosecond pulses at high-repetition-rate

Science in China Series A: Mathematics : Volume 40

Reconstruction of electron-phonon interaction function from temperature dependence of electrical resistivity for metals

Content Provider	Springer Nature Link
Author	Weinan, Li
Copyright Year	1998
Abstract	The determination of the electron-phonon interaction function (EPIF) from the temperature dependence of the electrical resistivity (TDER) for metals within a selected moderate temperature range is numerically demonstrated based on the general theory of the amplitude-phase-retrieval problem and an iterative algorithm. From the model calculation, the convergent solution can be obtained; however, the profile of the recovered EPIF depends on the initial frequency distribution used in the algorithm since this inversion problem is inherently ill-posed. In order to get reasonable result, it is necessary to introduce additional information about the feature of the EPIF for guiding the choice of the initial distribution. The algorithm can also furnish a robust reconstruction of EPIF from TDER contaminated with random noise. It means that this algorithm is relatively stable and insensitive to external perturbation; therefore in a sense, the presented algorithm overcomes the ill-posedness of the inversion problem.
Starting Page	55
Ending Page	63
Page Count	9
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	41
Issue Number	1
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	1998-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	electron-phonon interaction function temperature dependence of electrical resistivity amplitude-phase-retrieval inversion problem Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Electron-phonon interaction function for metals from the temperature dependence of the electrical resistivity

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Reconstruction of electron-phonon interaction function from temperature dependence of electrical resistivity for metals

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Electron-phonon interaction function for metals from the temperature dependence of the electrical resistivity

Weak localization and the mooij rule in disorderd metals (2001).

Point contact spectroscopy and temperature dependence of resistivity of metallic sodium tungsten bronzes (1998).

Linear temperature dependence of the transverse electrical resistivity of organic metals arising from electron-electron umklapp scattering

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