Trends in Mathematical Physics Research

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Nova Publishers, 2004 - Mathematics - 241 pages
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Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

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New Veneziano Amplitudes from Old Fermat HyperSurfaces
Topological Terms and the Global Symplectic Geometry of the Phase Space in String Theory
Deformational Structures on Smooth Manifolds
Classes of Smooth Solutions to Multidimensional Balance Laws of Gas Dynamic Type on Riemannian Manifolds
Analogs of the HamiltonJacobi and Schrodinger Equations for Multidimensional Variational Problems of Field Theory
The Perturbed Massless Wave Equation with Singular Potential

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