书目名称 | Spectral Theory of Random Schrödinger Operators |
副标题 | A Genetic Introducti |
编辑 | Reinhard Lang |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The interplay between the spectral theory of Schr|dingeroperators andprobabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideasinstatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term"genetic" in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the historyof thesubject, have been of major conceptual importance - on theone hand the Laplacian is a random medium and the left endof its spectrum(leading to large deviation problems forBrownian motion and the link to thenotion of entropy) andon the other, Schr|dinger operators with general ergodicpotentials in one-dimensional space. Ideas and concepts areexplained in the simplest, possible setting and by means ofa few characteristic problems with heuristic argumentspreceding rigorous proofs. |
出版日期 | Conference proceedings 1991 |
关键词 | Brownian motion; Entropy; Large Deviations; Potential; Random Schroedinger Operators; Spectral Theory; Sto |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0093929 |
isbn_softcover | 978-3-540-54975-8 |
isbn_ebook | 978-3-540-46627-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1991 |