Closed-form solution for inverse problems of Fermi systems

Chen Nan-xian, Zhang Chen-fu, Zhou Mai, Ren Guang-bao, and Zhao Wen-bin
Phys. Rev. E 48, 1558 – Published 1 August 1993; Erratum Phys. Rev. E 55, 4830 (1997)
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Abstract

A series of applications of a theorem relating the Dirac δ function to the Fermi distribution [Chen, Phys. Rev. A 46, 3538 (1992)] are presented in this paper. In particular, the inverse problem for determining the density of states of Fermi systems, the determination of relaxation-time distribution from dielectric function spectra, and the inverse isotherm problem for the adsorption energy distribution function are treated with closed-form general solutions. The present method is not only simplified significantly relative to all the previous work, but also has the merit of not making priori assumptions about the solution of the integral equation; hence it is a direct way of evaluating the density of states.

  • Received 23 November 1992

DOI:https://doi.org/10.1103/PhysRevE.48.1558

©1993 American Physical Society

Erratum

Erratum: Closed-form solution for inverse problems of Fermi systems [Phys. Rev. E 48, 1558 (1993)]

Nan-xian Chen, Zhang Chen-fu, Zhou Mai, Ren Guang-bao, and Zhao Wen-bin
Phys. Rev. E 55, 4830 (1997)

Authors & Affiliations

Chen Nan-xian

  • Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People’s Republic of China
  • Beijing University of Science and Technology, Beijing 100083, People’s Republic of China

Zhang Chen-fu

  • Department of Physics, Peking University, Beijing 100875, People’s Republic of China

Zhou Mai

  • Department of Mathematics, Nan-Kai University, Tianjin 300071, People’s Republic of China

Ren Guang-bao and Zhao Wen-bin

  • Institute of Applied Physics, Beijing University of Science and Technology, Beijing 100083, People’s Republic of China

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Vol. 48, Iss. 2 — August 1993

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