Analytical evaluation of a class of phase-modulated lattice sums

DOI10.1063/1.530169zbMath0787.40004OpenAlexW2057994772MaRDI QIDQ4201717

Scott Allen, R. K. Pathria

Publication date: 6 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530169

zbMATH Keywords

modified Bessel functionslattice sumsPoisson summation formula

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Multiple sequences and series (40B05)

Related Items (4)

On certain Schlömilch-type series ⋮ Interface formation and a structural phase transition for the spherical model of ferromagnetism ⋮ Modular invariance, lattice field theories, and finite size corrections ⋮ Renormalization group theory of crossovers

Cites Work

• Analytical evaluation of a class of lattice sums in arbitrary dimensions
• The evaluation of lattice sums. I. Analytic procedures

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