Part 1 in our series on Quantum Field Theory. Paul Dirac’s insights into the nature of Quantum Mechanics laid the foundation for Quantum Field Theory and predicted the existence of anti-matter. Part 1 ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Quarterly of Applied Mathematics, Vol. 68, No. 1 (March 2010), pp. 61-71 (11 pages) We address the problem of describing solutions of the nonlinear Schrödinger equation on a compact surface in the ...

Analyses on the expansion of equivalent electron functions, on changes in the order of vector coupling, and on the calculation of the V coefficients of part IV are reported. These are of practical ...

Physicists’ main goal is to be able to predict what will happen in the future based on patterns they’ve already observed, whether in massive systems of stars or tiny groups of atoms. Predicting ...

In the strange world of quantum mechanics, objects can exist in several states at once. This concept, called superposition, is one of the most puzzling features of quantum theory. A particle, for ...

The nature of dark matter remains one of the greatest mysteries in cosmology. Within the standard framework of ...