Electronic ISBN:  9780821881552 
Product Code:  CONM/476.E 
List Price:  $53.00 
MAA Member Price:  $47.70 
AMS Member Price:  $42.40 

Book DetailsContemporary MathematicsVolume: 476; 2008; 148 ppMSC: Primary 81; 82; 35;
This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autónoma de Mexico, Cuernavaca in May 2005.
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 Schrödinger Operators, and Stability of Matter, respectively.
These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.This book is published in cooperation with Sociedad Matemática Mexicana.ReadershipGraduate students and research mathematicians interested in mathematical physics.

Table of Contents

Articles

Rafael D. Benguria and Helmut Linde  Isoperimetric inequalities for eigenvalues of the Laplace operator [ MR 2509107 ]

Peter D. Hislop  Lectures on random Schrödinger operators [ MR 2509108 ]

Elliott H. Lieb  Quantum mechanics, the stability of matter and quantum electrodynamics [ MR 2509109 ]


Additional Material

Reviews

The authors make every effort to relate these topics to the development of spectral theory and provide excellent examples. The final result is a professional reference as well as a solid supplemental text for courses in quantum mechanics or spectral theory.
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This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autónoma de Mexico, Cuernavaca in May 2005.
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 Schrödinger Operators, and Stability of Matter, respectively.
These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.
Graduate students and research mathematicians interested in mathematical physics.

Articles

Rafael D. Benguria and Helmut Linde  Isoperimetric inequalities for eigenvalues of the Laplace operator [ MR 2509107 ]

Peter D. Hislop  Lectures on random Schrödinger operators [ MR 2509108 ]

Elliott H. Lieb  Quantum mechanics, the stability of matter and quantum electrodynamics [ MR 2509109 ]

The authors make every effort to relate these topics to the development of spectral theory and provide excellent examples. The final result is a professional reference as well as a solid supplemental text for courses in quantum mechanics or spectral theory.
SciTech Book News