Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Bound States of the Magnetic Schrödinger Operator
 
Nicolas Raymond Université de Rennes, France
A publication of European Mathematical Society
Bound States of the Magnetic Schr\"odinger Operator
Hardcover ISBN:  978-3-03719-169-9
Product Code:  EMSTM/27
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
Bound States of the Magnetic Schr\"odinger Operator
Click above image for expanded view
Bound States of the Magnetic Schrödinger Operator
Nicolas Raymond Université de Rennes, France
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-169-9
Product Code:  EMSTM/27
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Tracts in Mathematics
    Volume: 272017; 394 pp
    MSC: 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.

    Readership

    Graduate students and researchers interested in spectral reductions and waveguides.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 272017; 394 pp
MSC: 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.

Readership

Graduate students and researchers interested in spectral reductions and waveguides.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.