Advances in quantum Monte Carlo techniques for non-relativistic many-body systems Institute for Nuclear Theory

In 1999, F.A.B. Coutinho, Y.Nogami and Lauro Tomio published a paper entitled “Two definitions of the electric polarizability of a bound system in relativistic quantum theory”. The authors of ref.(1), dicussed the possibility of two definitions of the relativistic electric polarizability and the difference between the two definitions. In addition, the authors relate their definitions to the ele...

Quantum field theory is the usual solution to the problems inherent in melding quantum mechanics with special relativity. However, there has also been significant literature on an alternate presentation of relativistic quantum mechanics in terms of an “invariant fifth parameter” in addition to the usual four coordinates of spacetime. When this parameter is treated as parameterizing spacetime pa...

We propose a fibre bundle formulation of the mathematical base of relativistic quantum mechanics. At the present stage the bundle form of the theory is equivalent to its conventional one, but it admits new types of generalizations in different directions. In the present, second, part of our investigation, we consider a covariant approach to bundle description of relativistic quantum mechanics. ...

Over the past one hundred years Brownian motion theory has contributed substantially to our understanding of various microscopic phenomena. Initially proposed as a phenomenological paradigm for atomistic matter interactions, the original theory has ever since evolved into a broad and vivid research area, with an ever increasing number of applications in biology, chemistry, finance, and physics....

We review the theory of hadronic atoms in QCD + QED, based on a non–relativistic effective Lagrangian framework. We first provide an introduction to the theory, and then describe several applications: meson– meson, meson–nucleon atoms and meson–deuteron compounds. Finally, we compare the quantum field theory framework used here with the traditional approach, which is based on quantum–mechanical...

Quantum mechanics and relativistic causality together imply nonlocality: nonlo-cal correlations (that violate the CHSH inequality) and nonlocal equations of motion (the Aharonov-Bohm effect). Can we invert the logical order? We consider a conjecture that nonlocality and relativistic causality together imply quantum mechanics. We show that correlations preserving relativistic causality can viola...

This paper surveys the application of geometric algebra to the physics of electrons. It first appeared in 1996 and is reproduced here with only minor modifications. Subjects covered include non-relativistic and relativistic spinors, the Dirac equation, operators and monogenics, the Hydrogen atom, propagators and scattering theory, spin precession, tunnelling times, spin measurement, multipartic...