Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

Author:   Matteo Gallone ,  Alessandro Michelangeli ,  Sergio Albeverio
Publisher:   Springer International Publishing AG
ISBN:  

9783031108877


Pages:   538
Publication Date:   05 April 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians


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Author:   Matteo Gallone ,  Alessandro Michelangeli ,  Sergio Albeverio
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
ISBN:  

9783031108877


ISBN 10:   3031108876
Pages:   538
Publication Date:   05 April 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

- Part I Theory. - 1. Generalities on Symmetric and Self-Adjoint Operators on Hilbert Space. - 2. Classical Self-Adjoint Extension Schemes. - Part II Applications. - 3. Hydrogenoid Spectra with Central Perturbations. - 4. Dirac-Coulomb Hamiltonians for Heavy Nuclei. - 5. Quantum Particle on Grushin Structures. - 6. Models of Zero-Range Interaction for the Bosonic Trimer at Unitarity. - Appendix A: Physical Requirements Prescribing Self-Adjointness of Quantum Observables. - Appendix B: References to Pedagogical Examples.

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Matteo Gallone is a researcher in mathematical physics at the Mathematics department of the University of Milan.  His scientific interests lie between theoretical physics, mathematical physics and functional analysis. He has studied energy localisation in classical mechanical systems with many degrees of freedom, operator-theoretic problems stemming from quantum mechanical models, and his interests have recently also extended to quasi-periodic systems in statistical mechanics using the techniques of the constructive renormalisation group.Alessandro Michelangeli is an Alexander von Humboldt Senior Researcher at the Institute for Applied Mathematics of the University of Bonn and at the Hausdorff Center for Mathematics, Bonn, and a member of the Institute of Theoretical Quantum Technologies (TQT), Trieste, having also held positions at the LMU Munich and the SISSA Trieste. His research is at the interface of analysis, mathematical physics, and theoretical physics, with expertise in functional analysis, operator theory, spectral theory, non-linear partial differential equations, and quantum mechanics. His more than 60 publications include two authored books and three edited monographs.

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