| 书目名称 | Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians |
| 编辑 | Matteo Gallone,Alessandro Michelangeli |
| 视频video | |
| 概述 | Focuses on modern research applications, instead of standard textbook examples.Provides a comparative theory of all classical self-adjoint extension schemes.Simultaneously discusses theory and applica |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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 curren |
| 出版日期 | Book 2023 |
| 关键词 | Self-adjoint Operators; Vishik-Birman Extension Theory; Dirac-Coulomb Hamiltonians; Zero-range Interact |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-10885-3 |
| isbn_softcover | 978-3-031-10887-7 |
| isbn_ebook | 978-3-031-10885-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:41:46
