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The Complex WKB Method for Nonlinear Equations I: Linear Theory (Progress in Mathematical Physics) (v. 1)
V. P. Maslov
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Description for The Complex WKB Method for Nonlinear Equations I: Linear Theory (Progress in Mathematical Physics) (v. 1)
Hardcover. Includes examples of applications to physics. This title uses topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrodinger equation, and also takes into account the so-called tunnel effects. It reviews finite-dimensional linear theory. Translator(s): Shishkova, M.A.; Sossinsky, A. B. Series: Progress in Mathematical Physics. Num Pages: 304 pages, biography. BIC Classification: PBKD; PBKJ; PBM; PBP; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 166 x 242 x 25. Weight in Grams: 628.
This book deals with asymptotic solutions of linear and nonlinear equa- tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o. When the phase S(x) is real (ImS(x) = 0), the method for obtaining asymp- totics of this type is known in quantum mechanics as the WKB-method. We preserve this terminology in the case ImS(x) ~ 0 and develop the method for a wide class of problems in mathematical physics. Asymptotics ... Read more
This book deals with asymptotic solutions of linear and nonlinear equa- tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o. When the phase S(x) is real (ImS(x) = 0), the method for obtaining asymp- totics of this type is known in quantum mechanics as the WKB-method. We preserve this terminology in the case ImS(x) ~ 0 and develop the method for a wide class of problems in mathematical physics. Asymptotics ... Read more
Product Details
Publisher
Birkhäuser
Format
Hardback
Publication date
1994
Series
Progress in Mathematical Physics
Condition
New
Weight
627g
Number of Pages
304
Place of Publication
Basel, Switzerland
ISBN
9783764350888
SKU
V9783764350888
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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