کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592217 | 1335083 | 2006 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convolutions of semi-classical spectral distributions and periodic-orbit theory
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convolutions of semi-classical spectral distributions and periodic-orbit theory Convolutions of semi-classical spectral distributions and periodic-orbit theory](/preview/png/4592217.png)
چکیده انگلیسی
We study the convolution of semi-classical spectral distributions associated to h-pseudodifferential operators on Rn. Under standard assumptions the micro-support of this object can be characterized via families of periodic orbits correlated simultaneously by energy and periods. When all the orbits are non-degenerate the convolution admits, as h tends to 0, an explicit asymptotic expansion in term of the respective dynamical systems. In this setting, this result validates the theory of orbits pairs used by physicists in quantum chaos. Some new contributions, related to the crossing of the period functions, are also analyzed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 241, Issue 2, 15 December 2006, Pages 638-660
Journal: Journal of Functional Analysis - Volume 241, Issue 2, 15 December 2006, Pages 638-660