书目名称 | Quasiclassical Methods |
编辑 | Jeffrey Rauch,Barry Simon |
视频video | http://file.papertrans.cn/782/781621/781621.mp4 |
丛书名称 | The IMA Volumes in Mathematics and its Applications |
图书封面 |  |
描述 | This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Jeffrey Rauch and Barry Simon for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE There are a large number of problems where qualitative features of a partial differential equation in an appropriate regime are determined by the behavior of an associated ordinary differential equation. The example which gives the area its name is the limit of quantum mechanical Hamil tonians (Schrodinger operators) as Planck‘s constant h goes to zero, which is determined by the corresponding classical mechanical system. A sec ond example is linear wave equations with highly oscillatory initial data. The solutions are described by geometric optics whose centerpiece are rays which are solutio |
出版日期 | Book 1997 |
关键词 | Eigenvalue; calculus; differential operator; distribution; energy; molecule; operator; pseudodifferential o |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-1940-8 |
isbn_softcover | 978-1-4612-7349-3 |
isbn_ebook | 978-1-4612-1940-8Series ISSN 0940-6573 Series E-ISSN 2198-3224 |
issn_series | 0940-6573 |
copyright | Springer Science+Business Media New York 1997 |