The path integral is not typically utilized for analyzing entanglement experiments, in part because there no standard toolbox converting an arbitrary experiment into a form allowing simple sum-over-history calculation. After completing the last portion of this (a technique implementing multi-particle measurements entangled basis), some interesting 4- and 6-particle experiments are analyzed with...

The imaginary-time discretized path integral for systems interacting through Coulomb potentials and/or bounded by hard walls behaves pathologically. In this paper we give an analysis of the pathologies. A new method is used to calculate the path integral for the Coulomb system within the primitive algorithm. This is done by constructing an effective potential that implicitly depends on Trotter ...

We present a novel path-integral method for the determination of time-dependent and time-averaged reaction rates in multidimensional, periodically driven escape problems at weak thermal noise. The so obtained general expressions are evaluated explicitly for the situation of a sinusoidally driven, damped particle with inertia moving in a metastable, piecewise parabolic potential. A comparison wi...

U(n) Yang-Mills theory on the fuzzy sphere S N is quantized using random matrix methods. The gauge theory is formulated as a matrix model for a single Hermitian matrix subject to a constraint, and a potential with two degenerate minima. This allows to reduce the path integral over the gauge fields to an integral over eigenvalues, which can be evaluated for large N . The partition function of U(...

Cutoff Schrödinger equations in functional derivatives are solved via quantized Galerkin limit of antinormal functional Feynman integrals for Schrödinger equations in partial derivatives. Mathematics Subject Classification 2000: 81T08, 81T16; 26E15, 81Q05, 81S40.