Reliable Padé analytical continuation method based on a high-accuracy symbolic computation algorithm

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 8, 2000, Pages 5147-5157

  Beach, K ^a   Gooding, R ^a   Marsiglio, F ^b  

^a QUEEN S UNIVERSITY   (Canada)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000282138     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.5147     Document Type: Article

References (13)

1. Of course, other methods are available for certain formulations of the many-body thermal Green’s function problem. A number of these are discussed in a recent paper: see J. Schmalian, M. Langer, S. Grabowski, and K. H. Bennemann, Comput. Phys. Commun. 93, 141 (1996), and references therein.
2. G. A. Baker, Essentials of Padé Approximants (Academic Press, New York, 1975).
3. H. J. Vidberg and J. Serene, J. Low Temp. Phys. 29, 179 (1977).
4. G. Baym and D. Mermin, J. Math. Phys. 2, 232 (1961).
5. H. S. Wall, Analytic Theory of Continued Fractions (Chelsea, New York, 1948).
6. The implementation of such a form was made recently in S. Pairault, D. Sénéchal, and A.-M. S. Tremblay, Phys. Rev. Lett. 80, 5389 (1998).
7. S. PairaultD. SénéchalA.-M. S. Tremblayalso see cond-mat/9905242 (unpublished).
8. H. S. Wall and M. Wetzel, Trans. Am. Math. Soc. 55, 373 (1944).
9. See, e.g., A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
10. F. Marsiglio, M. Schossmann, and J. P. Carbotte, Phys. Rev. B 37, 4965 (1988).
11. K. S. D. Beach, R. J. Gooding, and F. Marsiglio, cond-mat/9912177 (unpublished).
12. See EPAPS Document No. E-PRBMDO-61-019007
13. L. V. Ahlfors, Complex Analysis (McGraw-Hill, New York, 1953).