书目名称 | Pseudo-Bosons and Their Coherent States |
编辑 | Fabio Bagarello |
视频video | |
概述 | Discusses in detail all delicate mathematical aspects related to the analysis of canonical commutation relations.Gives an in-depth clarification of the Baker-Campbell-Hausdoff formula.Presents recent |
丛书名称 | Mathematical Physics Studies |
图书封面 |  |
描述 | This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. In light of the recent interest on PT-quantum mechanics, the author presents a special deformed version of the CCRs, and discusses the consequences of this deformation both from a mathematical side, and for its possible applications to physics. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states. The book is meant for researchers and is also suited for advanced students. It can be used as a gentle introduction to some delicate aspects in functional analysis and in quantum mechanics for non self-adjoint observables. |
出版日期 | Book 2022 |
关键词 | bi-coherent states; biorthogonal families of vectors; deformed canonical commutation relations; transit |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-94999-0 |
isbn_softcover | 978-3-030-95001-9 |
isbn_ebook | 978-3-030-94999-0Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
issn_series | 0921-3767 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |