Isomorphism between the multi-state Hamiltonian and the second-quantized many-electron Hamiltonian with only 1-electron interactions

Application of a semiclassical model for the second-quantized many-electron Hamiltonian to nonequilibrium quantum transport: the resonant level model.

A semiclassical approach is developed for nonequilibrium quantum transport in molecular junctions. Following the early work of Miller and White [J. Chem. Phys. 84, 5059 (1986)], the many-electron Hamiltonian in second quantization is mapped onto a classical model that preserves the fermionic character of electrons. The resulting classical electronic Hamiltonian allows for real-time molecular dy...

تابش چرنکوف نسبیتی در حضور محیط دی‌الکتریک مغناطیده

In this paper, relativistic Cherenkov radiation was studied in a 3-D magneto-dielectric medium. Electric permittivity and magnetic permeability of the medium as functions of frequency, are assumed to satisfy Kramers- Kronig equations. A new interaction Hamiltonian, which is different from Hamiltonian term in non-relativistic state, was introduced by the quantized vector potential field and part...

Quantized consensus in Hamiltonian graphs

The main contribution of this paper is an algorithm to solve an extended version of the quantized consensus problem over networks represented by Hamiltonian graphs, i.e., graphs containing a Hamiltonian cycle, which we assume to be known in advance. Given a network of agents, we assume that a certain number of tokens should be assigned to the agents, so that the total number of tokens weighted ...

Hamiltonian magnetic reconnection with parallel electron heat flux dynamics

Hamiltonian of a many-electron atom in an external magnetic field and classical electrodynamics

2014 The increasing precision of experiments on the Zeeman effect of many electron atoms requires an ever increasing knowledge of relativistic and radiative effects. The generalization of the Breit equation as proposed by Hegstrom includes all these effects up to order c2014 3. In the non relativistic limit the resulting Hamiltonian is quite intricate, but we show in this paper that it is possi...