Work

A unified solution of the specific-heat–phonon spectrum inversion problem

Year: 2003

Type: article

Abstract: In the specific-heat–phonon spectrum inversion problem (SPI), Chen's solution with modified Möbius inversion formula (N. X. Chen Phys. Rev. Lett. 64 (1990) 1193) was novel and of great interest. Meanwhile, Dai's exact solution formula with a parameter s for canceling the divergence has succeeded in obtaining a series of exact solutions and was employed to obtain a phonon spectrum from real specific data of YBCO. In this paper we will show that, by using an integral representation of inverse Laplace transformations and some properties of the Riemann zeta-function, Chen's solution can be derived from Dai's formula, without necessarily using the Möbius inversion formula. Furthermore, the unique existence theorem and convergence of the series of Chen's solution were also obtained. It is also shown that Dai's parameter s and the asymptotic behavior control condition are of crucial importance in the derivation.

Source: Europhysics Letters (EPL)

DOI: 10.1209/epl/i2003-00288-6

Authors: DengMing Ming, Tao Wen, JiXin Dai, W. E Evenson, XianXi Dai

Institutions: Fudan University, State Key Laboratory of Surface Physics, New York University, Brigham Young University, Shanghai University

Language: English

Topic: Physics of Superconductivity and Magnetism

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: U.S. Department of Energy, Brigham Young University, National Natural Science Foundation of China

Awards: 波-爱凝结研究中若干前沿问题的理论探索, 应用物理中若干逆问题研究