Second quantization method in the presence of bound states of particles

Abstract

We develop an approximate second quantization method for describing the many-particle systems in the presence of bound states of particles at low energies (the kinetic energy of particles is small in comparison to the binding energy of compound particles). In this approximation the compound and elementary particles are considered on an equal basis. This means that creation and annihilation operators of compound particles can be introduced. The Hamiltonians, which specify the interactions between compound and elementary particles and between compound particles themselves are found in terms of the interaction amplitudes for elementary particles. The nonrelativistic quantum electrodynamics is developed for systems containing both elementary and compound particles. Some applications of this theory are considered.

35 pages

Cited by in corpus (8)

• Bose-Einstein condensation of photons in an ideal atomic gas
• Green-function method in the theory of ultraslow electromagnetic waves in an ideal gas with Bose-Einstein condensates
• Bose-Einstein condensation of heteronuclear bound states formed in a Fermi gas of two atomic species: microscopic approach
• Coexistence of photonic and atomic Bose-Einstein condensates in ideal atomic gases
• Propagation of relativistic charged particles in ultracold atomic gases with Bose-Einstein condensates
• Role of temperature effects in the phenomenon of ultraslow electromagnetic pulses in Bose-Einstein condensates of alkali-metal atoms
• Magnetic field dependence and the possibility of filtering ultraslow light pulses in atomic gases with Bose-Einstein condensates
• Method of canonical transformations in the theory of quantum gases interacting with radiation