Band 16
The Complex WKB Method for Nonlinear Equations I Linear Theory
Aus der Reihe
Progress in Mathematical Physics
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 72.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
06.10.2012
Verlag
Springer BaselSeitenzahl
304
Maße (L/B/H)
23.5/15.5/1.8 cm
Gewicht
482 g
Auflage
Softcover reprint of the original 1st ed. 1994
Übersetzt von
Shishkova + weitere
Sprache
Englisch
ISBN
978-3-0348-9669-6
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrödinger equation, and also to take into account the so-called tunnel effects. Finite-dimensional linear theory is reviewed in detail. Infinite-dimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume.
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