| Hardcover ISBN: | 978-3-03719-169-9 |
| Product Code: | EMSTM/27 |
| List Price: | $78.00 |
| AMS Member Price: | $62.40 |
| Hardcover ISBN: | 978-3-03719-169-9 |
| Product Code: | EMSTM/27 |
| List Price: | $78.00 |
| AMS Member Price: | $62.40 |
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Book DetailsEMS Tracts in MathematicsVolume: 27; 2017; 394 ppMSC: Primary 35; 49; 81
This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics.
Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach–Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of magnetic harmonic approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions.
Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and researchers interested in spectral reductions and waveguides.
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This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics.
Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach–Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of magnetic harmonic approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions.
Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Graduate students and researchers interested in spectral reductions and waveguides.
