A modified Euler–Maclaurin formula in 1D and 2D with applications in statistical physics

DOI10.1088/1572-9494/abf1ddzbMath1521.65003arXiv2004.10441MaRDI QIDQ6055430

Unnamed Author, Yunpeng Liu

Publication date: 29 September 2023

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10441

zbMATH Keywords

statistical physicssquare wellquantum rotatorsummation technique

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Euler-Maclaurin formula in numerical analysis (65B15)

Cites Work

• Unnamed Item
• Generalizations of the Euler-Maclaurin formula
• A generalization of the Euler-Maclaurin summation formula: an application to numerical computation of the Fermi-Dirac integrals
• A generalization of the Euler-Maclaurin formula
• Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
• The Euler–Maclaurin formula for simple integral polytopes

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