دانلود کتاب Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

Name: Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities
Availability: InStock
Author: Rupert L. Frank
ISBN: 1009218468,9781009218467

by Rupert L. Frank, Ari Laptev, Timo Weidl

عنوان فارسی: اپراتورهای شرودینگر: مقادیر ویژه و نابرابری های لیب-تیرینگ
ناشر: Cambridge University Press
سال: 2022
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 522-523
شابک: 1009218468,9781009218467
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 3.24 مگابایت

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جزییات کتاب

The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.