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New Topics in Mathematical Physics Research

Editat de Charles V. Benton
en Limba Engleză Paperback – 22 dec 2006
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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Specificații

ISBN-13: 9781594548079
ISBN-10: 1594548072
Pagini: 362
Ilustrații: illustrations
Dimensiuni: 184 x 265 x 10 mm
Greutate: 0.99 kg
Editura: Nova Science Publishers Inc

Cuprins

Preface; Nontrivial Symmetries and Equilibrium Thermodynamics; Superselection Rules Induced by Infrared Divergence; Riemann Surfaces of Some Static Dispersion Relation and Projective Spaces; The Lie Derivative of Spinor Fields: Theory and Applications; Towards the Quantum Electrodynamics on the Poincan'e Group; Generalised Landen Transformation Formulas for Jacobi Elliptic Functions; On Non-Orthogonal Signal Representation; Fictitious Charges as a Universal Tool in the Problem of Lattice Summation of Coulomb and Multipolar Series; Separation of Variables and Exact Solution of the Dirac Equations in Some Cosmological Backgrounds; O(3) Non-linear Sigma Model, Hopf map and the Knot Invariant; Hermitian Modifications of Toeplitz Linear Functionals and Orthogonal Polynomials; Index.