skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Constants of motion of the four-particle Calogero model

Abstract

We present the explicit expressions of the complete set of constants of motion of four-particle Calogero model with excluded center of mass, i.e. of the A{sub 3} rational Calogero model. Then we find the constants of motion of its spherical part, defining two-dimensional 12-center spherical oscillator, with the force centers located at the vertexes of cuboctahedron.

Authors:
 [1]
  1. Yerevan State University (Armenia)
Publication Date:
OSTI Identifier:
22069320
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 75; Journal Issue: 10; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CENTER-OF-MASS SYSTEM; OSCILLATORS; PARTICLE MODELS; QUANTUM FIELD THEORY; SPHERICAL CONFIGURATION; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Saghatelian, A. Constants of motion of the four-particle Calogero model. United States: N. p., 2012. Web. doi:10.1134/S1063778812100171.
Saghatelian, A. Constants of motion of the four-particle Calogero model. United States. https://doi.org/10.1134/S1063778812100171
Saghatelian, A. 2012. "Constants of motion of the four-particle Calogero model". United States. https://doi.org/10.1134/S1063778812100171.
@article{osti_22069320,
title = {Constants of motion of the four-particle Calogero model},
author = {Saghatelian, A},
abstractNote = {We present the explicit expressions of the complete set of constants of motion of four-particle Calogero model with excluded center of mass, i.e. of the A{sub 3} rational Calogero model. Then we find the constants of motion of its spherical part, defining two-dimensional 12-center spherical oscillator, with the force centers located at the vertexes of cuboctahedron.},
doi = {10.1134/S1063778812100171},
url = {https://www.osti.gov/biblio/22069320}, journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 10,
volume = 75,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2012},
month = {Mon Oct 15 00:00:00 EDT 2012}
}