کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609695 | 1338524 | 2016 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction](/preview/png/4609695.png)
چکیده انگلیسی
We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them being bonding, and the other one anti-bonding. We locate the resonances and obtain estimates on their widths, that become optimal under an additional condition of ellipticity on the interaction. Our method relies on the construction of fundamental solutions for the two scalar unperturbed operators, and on an iterative procedure in order to obtain solutions to the system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 5, 5 March 2016, Pages 4051–4085
Journal: Journal of Differential Equations - Volume 260, Issue 5, 5 March 2016, Pages 4051–4085
نویسندگان
S. Fujiié, A. Martinez, T. Watanabe,