کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4592444 1335101 2009 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential
چکیده انگلیسی

A functional integral representation for the weak solution of the Schrödinger equation with a polynomially growing potential is proposed in terms of an analytically continued Wiener integral. The asymptotic expansion in powers of the coupling constant λ of the matrix elements of the Schrödinger group is studied and its Borel summability is proved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 257, Issue 4, 15 August 2009, Pages 1030-1052