论文信息 - On a procedure for the calculation of spectral functions of solid based on moment expansions

On a procedure for the calculation of spectral functions of solid based on moment expansions

The advantages of a mathematical technique involving a quadratic map and Pade approximants is discussed in the context of the calculation of spectral functions of solids based on moment expansions. The method is expected to be of great value, particularly in calculations dealing with the band-edges with square-root-type behaviours. The practical relevance of the approach is illustrated in several examples.

F. Grinstein

[1] F. Grinstein. Pade approximants and the calculation of spectral functions of solids , 1982 .

[2] R. Roskies. Reconciliation of high-temperature series and renormalization-group results by suppressing confluent singularities , 1981 .

[3] S. Klarsfeld. An improved Pade approximant method for calculating Feynman amplitudes , 1981 .

[4] A. Genz,et al. A method for computing Feynman amplitudes with branch cuts , 1976 .

[5] M. Thorpe,et al. The Band Structure of Si III and Ge III , 1972 .

[6] M. Thorpe. Random walks in polytype structures , 1972 .

[7] F. Cyrot-Lackmann. Spectral limits in disordered systems , 1972 .

[8] M. Thorpe,et al. Electronic properties of an amorphous solid. II. Further aspects of the theory , 1971 .

[9] E. Frikkee. CORRIGENDUM: Calculations on magnon impurity modes of a pair defect in a face-centred cubic ferromagnet , 1969 .