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The Complex WKB Method for Nonlinear Equations I: Linear Theory
Maslov, Victor P.; Sossinsky, A. B.
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Description for The Complex WKB Method for Nonlinear Equations I: Linear Theory
paperback. Translator(s): Shishkova, M.A.; Sossinsky, A. B. Series: Progress in Mathematical Physics. Num Pages: 311 pages, 2 black & white illustrations. BIC Classification: WM. Category: (G) General (US: Trade). Dimension: 235 x 155 x 16. Weight in Grams: 486.
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
Format
Paperback
Publication date
2012
Publisher
Birkhäuser Switzerland
Number of pages
311
Condition
New
Series
Progress in Mathematical Physics
Number of Pages
304
Place of Publication
Basel, Switzerland
ISBN
9783034896696
SKU
V9783034896696
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99-15
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