This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent resear…
This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent resear…
Understanding quantum mechanics inevitably leads to an in-depth study of the Schrdinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrdinger operator occurring in solid-state physics, nu…
The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-clas…
This book emphasizes the geometric approach to the spectral analysis of linear partial differential operators on Hilbert space which exploits the local action of the operator. The geometric techniques are illustrated through examples from the theory of Schrödinger operators. The…
Fourth Summer School in Analysis and Mathematical Physics: topics in spectral theory and quantum mechanics, …
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Sociedad Matemática Mexicana
fromContemporary mathematics (American Mathematical Society)
Fourth Summer School in Analysis and Mathematical Physics: topics in spectral theory and quantum mechanics, …
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Sociedad Matemática Mexicana
fromContemporary mathematics (American Mathematical Society)
Fourth Summer School in Analysis and Mathematical Physics: topics in spectral theory and quantum mechanics :…
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Sociedad Matemática Mexicana
fromContemporary mathematics (American Mathematical Society)
"The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matte…