For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...

Eigenenergies of a non-Hermitian system without parity-time symmetry are complex in general. Here, we show that the chiral boundary states higher-dimensional topological insulators can be Hermitian with real eigenenergies under certain conditions. Our approach allows one to construct edge and hinge from two-dimensional Chern three-dimensional second-order insulators, respectively. Such channels...

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, it is shown how Green's functions computed using second these theories related. Next we show by use Lagrange multiplier fields (LM), radiative effects beyond one-loop can be eliminated. This allows one to compute exactly without loss unitarity. consequences this restriction on examined for actions. In two gauge t...

For Liouville equations with singular sources, the interpretation of equation and its impact are most significant if sources quantized: strength each Dirac mass is a mutliple $4\pi$. However study bubbling solutions around quantized source particularly challenging: near source, spherical Harnack inequality may not hold there multiple local maximums all swarming to source. In this article we see...

This paper studies the use of first and second order Quantized State Systems methods (QSS and QSS2) in the simulation of Differential Algebraic Equation (DAE) systems. A general methodology to obtain the QSS and the QSS2 approximations of a generic DAE of index 1 is provided and their corresponding DEVS implementations are developed. Further, an alternative method is given based on the block–by...