Existence of solutions of integral equations in the thermodynamics of one-dimensional fermions with repulsive delta function potential

DOI10.1063/1.525583zbMath0512.45006OpenAlexW2094356121MaRDI QIDQ4751174

C. K. Lai

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525583

zbMATH Keywords

existence of solutionselectron gasdelta function potentialthermodynamics of the fermions

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Statistical thermodynamics (82B30) Integral equations with miscellaneous special kernels (45H05)

Related Items (2)

Existence and uniqueness of solutions to \(Y\)-systems and TBA equations ⋮ Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions

Cites Work

• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Interacting Fermions in One Dimension. I. Repulsive Potential
• Study of Exactly Soluble One-Dimensional N-Body Problems
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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