A Relativistic Version of the Two-Level Atom in the Rest-Frame Instant Form of Dynamics

Abstract

We define a relativistic version of the two-level atom, in which an extended atom is replaced by a point particle carrying suitable Grassmann variables for the description of the two-level structure and of the electric dipole. After studying the isolated system "atom plus the electro-magnetic field" in the electric-dipole representation as a parametrized Minkowski theory, we give its restriction to the inertial rest frame and the explicit form of the Poincaré generators. After quantization we get a two-level atom with a spin 1/2 electric dipole and the relativistic generalization of the Hamiltonians of the Rabi and Jaynes-Cummings models.

23 pages

References in corpus (4)

• Hamiltonian Relativistic Two-Body Problem: Center of Mass and Orbit Reconstruction
• The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics
• The Rest-Frame Instant Form and Dirac Observables for the Open Nambu String
• Massless Particles plus Matter in the Rest-Frame Instant Form of Dynamics

Cited by in corpus (4)

• Mass-energy and anomalous friction in quantum optics
• From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
• Non-Inertial Frames in Minkowski Space-Time, Accelerated either Mathematical or Dynamical Observers and Comments on Non-Inertial Relativistic Quantum Mechanics
• On Relativistic Entanglement and Localization of Particles and on their Comparison with the Non-Relativistic Theory