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[null,"1.","Record Nr.",null,"UNISALENTO991002303849707536"]
[null,null,"Autore",null,"Sachsische Akademie der Wissenschaften <Lipsia>"]
[null,null,"Titolo",null,"Geschichte ausgewahlter Arbeitsvorhaben / Sachsiche Akademie der Wissenschaften zu Leipzig ; im Auftrag der Akademie herausgegeben von Heinz Penzlin"]
[null,null,"Pubbl/distr/stampa",null,"Leipzig : Sachsische Akademie der Wissenschaften, 1999"]
[null,null,"ISBN",null,"3777609358"]
[null,null,"Descrizione fisica",null,"IX, 180 p. ; 25 cm"]
[null,null,"Disciplina",null,"509"]
[null,null,"Soggetti",null,"Scienze naturali"]
[null,null,"Lingua di pubblicazione",null,"Tedesco"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNINA9910686787203321"]
[null,null,"Autore",null,"Gallone Matteo"]
[null,null,"Titolo",null,"Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians / / by Matteo Gallone, Alessandro Michelangeli"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"9783031108853"]
[{"$nulls":4},"9783031108846"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (557 pages)"]
[null,null,"Collana",null,"Springer Monographs in Mathematics, , 2196-9922"]
[null,null,"Disciplina",null,"530.15"]
[null,null,"Soggetti",null,"Mathematical physics"]
[{"$nulls":4},"Mathematical analysis"]
[{"$nulls":4},"Mathematical Physics"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,null,"Sommario/riassunto","This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspective, and provides a detailed analysis of a range of applications beyond the standard pedagogical examples (the latter are indexed in a final appendix for the reader’s convenience). Self-adjointness of operators on Hilbert space representing quantum observables, in particular quantum Hamiltonians, is required to ensure real-valued energy levels, unitary evolution and, more generally, a self-consistent theory. Physical heuristics often produce candidate Hamiltonians that are only symmetric: their extension to suitably larger domains of self-adjointness, when possible, amounts to declaring additional physical states the operator must act on in order to have a consistent physics, and distinct self-adjoint extensions describe different physics.Realising observables self-adjointly is the first fundamental problem of quantum-mechanical modelling. The discussed applications concern models of topical relevance in modern mathematical physics currently receiving new or renewed interest, in particular from the point of view "]
[{"$nulls":4},"of classifying self-adjoint realisations of certain Hamiltonians and studying their spectral and scattering properties. The analysis also addresses intermediate technical questions such as characterising the corresponding operator closures and adjoints. Applications include hydrogenoid Hamiltonians, Dirac–Coulomb Hamiltonians, models of geometric quantum confinement and transmission on degenerate Riemannian manifolds of Grushin type, and models of few-body quantum particles with zero-range interaction. Graduate students and non-expert readers will benefit from a preliminary mathematical chapter collecting all the necessary pre-requisites on symmetric and self-adjoint operators on Hilbert space (including the spectral theorem), and from a further appendix presenting the emergence from physical principles of the requirement of self-adjointness for observables in quantum mechanics."]