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Mathematical Challenges of Zero-Range Physics = Models, Methods, Rigorous Results, Open Problems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical Challenges of Zero-Range Physics/ edited by Alessandro Michelangeli.
Reminder of title:	Models, Methods, Rigorous Results, Open Problems /
other author:	Michelangeli, Alessandro.
Description:	VIII, 329 p. 16 illus., 9 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Integral Equations. -
Online resource:	https://doi.org/10.1007/978-3-030-60453-0
ISBN:	9783030604530

Mathematical Challenges of Zero-Range Physics = Models, Methods, Rigorous Results, Open Problems /
Mathematical Challenges of Zero-Range PhysicsModels, Methods, Rigorous Results, Open Problems /[electronic resource] :edited by Alessandro Michelangeli. - 1st ed. 2021. - VIII, 329 p. 16 illus., 9 illus. in color.online resource. - Springer INdAM Series,422281-5198 ;. - Springer INdAM Series,12.

1. Iori, M. et al., Thermodynamic properties of ultracold Fermi gases across the BCS–BEC crossover and the Bertsch problem -- 2. Cacciapuoti, C., et al., Scattering theory for delta-potentials supported by locally deformed planes -- 3. Schmidt, J., The Massless Nelson Hamiltonian and its Domain -- 4. Borrelli, W. et al., A note on the Dirac operator with Kirchoff-type vertex conditions on metric graphs -- 5. Ourmières-Bonafos, T., Dirac operators and shell interactions: a survey -- 6. Lampart, J., Ultraviolet properties of a polaron model with point interactions and a number cutoff -- 7. Scandone, R., Zero modes and low-energy resolvent expansion for three dimensional Schrödinger operators with point interactions -- 8. Ottolini, A., Spectral properties of point interactions with fermionic symmetries -- 9. Akbas, H. and Teoman Turgut, O., Oppenheimer Type Approximation for a Simple Renormalizable System -- 10. Lotoreichik, V., Spectral isoperimetric inequality for the δ’-interaction on a contour -- 11. Pozzoli, E., Quantum confinement in Grushin-type manifolds -- 12. Gallone, M. et al., Kreın-Višik-Birman self-adjoint extension theory revisited -- 13. Khotyakov, M. and Michelangeli, A., Translation and adaptation from Russian of M. Sh. Birman On the theory of selfadjoint extensions of positive definite operators Math. Sb. 28 (1956), 431-450 (1956).

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range. Such a community is experiencing fruitful and inspiring exchanges with experimental and theoretical physicists. This volume reflects such spirit, with a diverse range of original contributions by experts, presenting an up-to-date collection of most relevant results and challenging open problems. It has been conceived with the deliberate two-fold purpose of serving as an updated reference for recent results, mathematical tools, and the vast related literature on the one hand, and as a bridge towards several key open problems that will surely form the forthcoming research agenda in this field.

ISBN: 9783030604530

Standard No.: 10.1007/978-3-030-60453-0doiSubjects--Topical Terms:

672359
Integral Equations.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

Mathematical Challenges of Zero-Range Physics = Models, Methods, Rigorous Results, Open Problems /
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