| 书目名称 | Self-adjoint Extensions in Quantum Mechanics |
| 副标题 | General Theory and A |
| 编辑 | D.M. Gitman,I.V. Tyutin,B.L. Voronov |
| 视频video | |
| 概述 | Provides a consistent treatment of certain quantization problems in quantum mechanics with several examples.Covers necessary mathematical background.Clear organization.Ends with a interesting discussi |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | .Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A proper treatment of these problems requires invoking certain nontrivial notions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators..Self-adjoint Extensions in Quantum Mechanics. begins by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the naïve treatment. The necessary mathematical background is then built by developing the theory of self-adjoint extensions. Through examination of various quantum-mechanical systems, the authors show how quantization problems associated with the correct definition of observables and their spectral analysis can be tr |
| 出版日期 | Book 2012 |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-4662-2 |
| isbn_ebook | 978-0-8176-4662-2Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Springer Science+Business Media New York 2012 |
发表于 2025-3-21 18:18:56
