Titlebook: Solitons in Field Theory and Nonlinear Analysis; Yisong Yang Textbook 2001 Springer Science+Business Media New York 2001 Field Theory.Gaug

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,Chern—Simons Systems: Non-Abelian Case, semi-simple Lie algebra such as the Cartan—Weyl bases and Cartan matrices to be used in the development to follow. In §6.2 we consider the solution of the non-Abelian gauged Schrödinger equations coupled with a Chern—Simons dynamics via the Toda equations, which is a non-relativistic Chern—Simons t

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Dyons,lutions of field equations. In this chapter, we shall present such static solutions representing dyons. In §8.1 and §8.2, respectively, we introduce Dirac’s magnetic monopoles and Schwinger’s dyons in the context of the Maxwell equations. In the rest of the chapter, we use a variational method to pr

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Ordinary Differential Equations,tudy of one of the simplest such problems, namely, the radially symmetric solutions of a general scalar equation. In §9.1, we state our existence results. In §9.2, we present a dynamical analysis of all possible solutions. In §9.3, we show how to apply our results to obtain a complete understanding

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Strings in Cosmology,th a suitable matter and gauge field system and lead to local concentration of energy and gravitational curvature, a structure relevant in the theory of galaxy formation in the early-time cosmology [321, 322]. In §10.1 we discuss some basic notions in the study of cosmic strings. In particular, we p

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,Born—Infeld Solutions,retical physics. In §12.1, we introduce the Born—Infeld theory and use the Bernstein type theorems for minimal surface equations to study its electrostatic solutions. In §12.2, we study electrostatic and magnetostatic solutions in view of finite energy, obtain a generalized Bernstein problem, and fi

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Yisong Yangeren Kerne zu 0, 0105 ± 0,0008 cm. sec.sterad.. Für die Protonen ergibt sich ein extrapolierter Wert von 0, 083 ± 0, 005 cm.sec.sterad. ohne Berücksichtigung der Albedo. Ein Vergleich mit über Nord-Amerika bestimmten Energiespektren läßt eine erhebliche Verschiebung der Absolutintensitäten erkennen.