We generalize the Unruh-DeWitt detector model to second quantization. illustrate this by applying it an excited particle in a superposition of relativistic velocities. calculate, first order, how its decay depends on whether velocities is coherent or incoherent. Further, we framework quantum reference frames allow transformations rest second-quantized Unruh DeWitt detectors. As application, sho...

In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N -fold symmetric product M/SN of a manifold M to the partition function of a second quantized string theory on the space M × S1. The generating function of these elliptic genera is shown to be (almost) an automorphic form for O(3, 2, Z). In the context of D-brane dynamics...

In this paper we continue our descriptions of stock markets in terms of some non abelian operators which are used to describe the portfolio of the various traders and other observable quantities. After a first prototype model with only two traders, we discuss a more realistic model of market with an arbitrary number of traders. For both models we find approximated solutions for the time evoluti...

Solution to the quantum constraints of four dimensional quantized gravity by dimensional reduction. Part II. Abstract In this paper we present a general solution to the quantum constraints of general relativity from the perspective of dimensional reduction , in continuation from Part I. First we present the constraints in terms of the polar decomposition of the CDJ matrix, noting that some kine...

We compare the derivation of the dynamic Stark shift of hydrogenic energy levels in a classical framework with an adiabatically damped laser-atom interaction, which is equivalent to the GellMann-Low-Sucher formula, and a treatment based on time-independent perturbation theory, with a second-quantized laser-atom dipole interaction Hamiltonian. Our analysis applies to a laser that excites a two-p...

Manipulating expressions in many-body perturbation theory becomes unwieldy with increasing order of the perturbation theory. Here I derive a set of theorems for efficient simplification of such expressions. The derived rules are specifically designed for implementing with symbolic algebra tools. As an illustration, we count the numbers of Brueckner–Goldstone diagrams in the first several orders...