dorsal/arxiv
View SchemaSecond quantization method in the presence of bound states of particles
| Authors | Sergey V. Peletminskii, Yuriy V. Slyusarenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605159 |
| URL | https://arxiv.org/abs/quant-ph/0605159 |
| DOI | 10.1063/1.1812359 |
| Journal | J.Math.Phys. 46 (2005) 022301 |
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.
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"abstract": "We develop an approximate second quantization method for describing the\nmany-particle systems in the presence of bound states of particles at low\nenergies (the kinetic energy of particles is small in comparison to the binding\nenergy of compound particles). In this approximation the compound and\nelementary particles are considered on an equal basis. This means that creation\nand annihilation operators of compound particles can be introduced. The\nHamiltonians, which specify the interactions between compound and elementary\nparticles and between compound particles themselves are found in terms of the\ninteraction amplitudes for elementary particles. The nonrelativistic quantum\nelectrodynamics is developed for systems containing both elementary and\ncompound particles. Some applications of this theory are considered.",
"arxiv_id": "quant-ph/0605159",
"authors": [
"Sergey V. Peletminskii",
"Yuriy V. Slyusarenko"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1063/1.1812359",
"journal_ref": "J.Math.Phys. 46 (2005) 022301",
"title": "Second quantization method in the presence of bound states of particles",
"url": "https://arxiv.org/abs/quant-ph/0605159"
},
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