| 书目名称 | Determining Spectra in Quantum Theory |
| 编辑 | Michael Demuth,Maddaly Krishna |
| 视频video | |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition. Many of these criteria were published in several articles in di?erent journals. We collected them, added some and gave some overview that can serve as a platform for further research activities. Spectral theory of Schr¨ odinger type operators has a long history; however the most widely used methods were limited in number. For any selfadjoint operatorA on a separable Hilbert space the spectrum is identi?ed by looking atthetotalspectralmeasureassociatedwithit;oftenstudyingsuchameasure meant looking at some transform of the measure. The transforms were of the form f,?(A)f which is expressible, by the spectral theorem, as ?(x)dµ (x) for some ?nite measureµ . The two most widely used functions? were the sx ?1 exponential function?(x)=e and the inverse function?(x)=(x?z) . These functions are “usable” in the sense that they can be manipulated with respect to addition of operators, which is what one considers most often in the spectral theory of Schr¨ odinger type operators. Starting with this basic |
| 出版日期 | Book 2005 |
| 关键词 | Potential; disordered system; quantum theory; scattering theory; spectral theory; wavelet; partial differe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/0-8176-4439-3 |
| isbn_ebook | 978-0-8176-4439-0Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Birkhäuser Boston 2005 |
发表于 2025-3-21 18:10:00
