Relativistic Hamiltonians in many-body theories

Relativistic Hamiltonians in many-body theories.

We discuss the description of a many-body nuclear system using Hamilto-nians that contain the nucleon relativistic kinetic energy and potentials with relativistic corrections. Through the Foldy-Wouthuysen transformation, the field theoretical problem of interacting nucleons and mesons is mapped to an equivalent one in terms of relativistic potentials, which are then expanded at some order in 1/...

Causality in Relativistic Many Body Theory

Dirac sea effects are perhaps the most interesting characteristic of relativistic many body theory. In nuclear matter e.g. the effective mass of the nucleons and their coupling to the mesons undergo considerable corrections due to vacuum fluctuations [1], [2]. In addition, relativistic many body theory predicts strong corrections of the properties of hadrons at high nuclear matter densities. Un...

Nonequilibrium Relativistic Quantum Many-Body Theory

Estimation of many-body quantum Hamiltonians via compressive sensing

A. Shabani,1 M. Mohseni,2 S. Lloyd,2,3 R. L. Kosut,4 and H. Rabitz1 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA 2Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 4SC Solutions, Sunnyva...

Integrable Many - Body Systems and Gauge Theories

The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological degrees of freedom in gauge theories. The relations between families of integrable systems and N = 2 supersymmetric gauge theories are described. It is explained that the degrees of freedom in the many-body systems can ...