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Item Details
| Title:
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ASYMPTOTIC COMPLETENESS, GLOBAL EXISTENCE AND THE INFRARED PROBLEM FOR THE MAXWELL-DIRAC EQUATIONS
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| By: |
M. Flato, Jacques C.H. Simon, Erik Taflin |
| Format: |
Paperback |
| List price:
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£69.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821806831 |
| ISBN 13: |
9780821806838 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 May, 1997 |
| Series: |
Memoirs of the American Mathematical Society No. 606 |
| Pages: |
311 |
| Description: |
Intends to present and give full proofs of original research results concerning integration of and scattering for the classical Maxwell-Dirac equations. This title develops a cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the infrared tail of the electron. |
| Synopsis: |
The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations. These equations govern first quantized electrodynamics and are the starting point for a rigorous formulation of quantum electrodynamics. The presentation is given within the formalism of nonlinear group and Lie algebra representations, i.e. the powerful new approach to nonlinear evolution equations covariant under a group action.The authors prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac equations is integrable to a global nonlinear representation of the Poincare group on a differentiable manifold of small initial conditions. This solves, in particular, the small-data Cauchy problem for the Maxwell-Dirac equations globally in time. The existence of modified wave operators and asymptotic completeness is proved. The asymptotic representations (at infinite time) turn out to be nonlinear. A cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the infrared tail of the electron are developed. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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