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Item Details
Title: RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS
UAB INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, MARCH 29-APRIL 2, 2005, UNIVERSITY OF ALABAMA AT BIRMINGHAM
By: Nikolai Chernov (Editor), Yulia Karpeshina (Editor), Ian W. Knowles (Editor)
Format: Paperback

List price: £95.50


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ISBN 10: 0821838407
ISBN 13: 9780821838402
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 July, 2006
Edition: Illustrated edition
Series: Contemporary Mathematics No. 412
Pages: 333
Description: Surveys topics in differential equations that are associated with mathematical physics. This book includes such topics as asymptotic formulas for the ground-state energy of fermionic gas, $J$-self adjoint Dirac operators, and spectral theory of Schrodinger operators. It is suitable for mathematicians and physicists.
Synopsis: This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-self adjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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