On computing the square lattice Green's function without any integrations

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 39, 2009, Pages

  Berciu, Mona ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449595769     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/39/395207     Document Type: Article

References (7)

1. Morita T 1971 Useful procedure for computing the lattice Green's function-square, tetragonal and bcc lattices J. Math. Phys. 12 1744
2. Morita T 1996 Use of the Gauss contiguous relations in computing the hypergeometric functions Interdiscip. Inf. Sci. 2 63
3. Morita T 2002 Lattice Green's function, elliptic integral and wavelet J. Korean Phys. Soc. 6 1015
4. Molina M I 2006 Nonlinear surface impurity in a semi-infinite two-dimensional square lattice: Green function approach Phys. Rev. B 74 045412
5. Economou E N 1983 Green's Functions in Quantum Physics (Berlin: Springer)
6. Berciu M 2006 Green's function of a dressed particle Phys. Rev. Lett. 97 036402
7. Berciu M and Goodvin G L 2007 Systematic improvement of the momentum average approximation for the Green's function of a Holstein polaron Phys. Rev. B 76 165109