Some Novel Applications and Interpretations of the Path Integral Formalism

Two importanr considerations which will be addressed in this presentation pertain to extending applications of the Feynman Path Integral Formalism (FPIF) to some important physical problems, and also to the role of this formalism in providing a generally acceptable view of the interpretation of Quantum Mechanics (QM). Of particular interest for our research is the extension of path integral quantiziation geometries other than spherical: namely parabolic, elliptic and hyperbolic geometries. We calculate perturbative expansions of various path integrals of interest, with a view to obtaining Conformal Field Theories (CFTs). We used a Python programming language interface, and Monte Carlo (MC) integrations in our computer codes. Our main results are in the field of plasma Physics, with some applications in fusion and Astrophysics.