Mathematical Challenges of Zero-Range Physics

Mathematical Challenges of Zero-Range Physics

Models, Methods, Rigorous Results, Open Problems

Michelangeli, Alessandro

Springer Nature Switzerland AG

02/2022

329

Mole

Inglês

9783030604554

15 a 20 dias

639

Descrição não disponível.
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. Ourmieres-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 Schroedinger 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 ?'-interaction on a contour.- 11. Pozzoli, E., Quantum confinement in Grushin-type manifolds.- 12. Gallone, M. et al., Krein-Visik-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).
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Zero-range (contact) interactions;Singular perturbation of elliptic operators;Self-adjoint extensions theories;Schroedinger and Dirac operators;Ultra-cold gases