Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matri

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Regniers, G., Van der Jeugt, Joris
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149101
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matri / G. Regniers, Joris Van der Jeugt // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ.

In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian describing such a system has been done in the canonical case. In this paper, we take a more general approach and look at th...