Work

Classical and quantum integrability in 3D systems

Year: 2008

Type: article

Abstract: In this paper, we discuss three situations in which complete integrability of a three-dimensional classical system and its quantum version can be achieved under some conditions. The former is a system with axial symmetry. In the second, we discuss a three-dimensional system without spatial symmetry which admits separation of variables if we use ellipsoidal coordinates. In both cases, and as a condition for integrability, certain conditions arise in the integrals of motion. Finally, we study integrability in the three-dimensional sphere and a particular case associated with the Kepler problem in S 3 .

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/41/30/304030

Authors: M Gadella, J Negro, G P Pronko, M Santander

Institutions: Universidad de Valladolid, National Centre of Scientific Research "Demokritos", Institute for High Energy Physics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Russian Foundation for Fundamental Investigations, General Secretariat for Research and Technology, Russian Science Foundation, Junta de Castilla y León

Award: G7308890234