Quadratic integrals of motions for the systems of identical particles-quantum case
Y. Brihaye, C. Gonera, P. Kosinski, P. Maslanka, S. Giller
Abstract
The quantum dynamical systems of identical particles admitting an additional integral quadratic in momenta are considered. It is found that an appropriate ordering procedure exists which allows to convert the classical integrals into their quantum counterparts. The relation to the separation of variables in Schroedinger equation is discussed.
Create a lesson
Related papers
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro
A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction
Colin Rogers, Sandra Carillo
A solution to the quantum Yang--Baxter equation associated with a universal two-valued algebraic group
Victor M. Buchstaber
Asymptotic behavior analysis of solutions to the Heisenberg ferromagnet equation with the Schwartz initial data
Xumeng Zhou, Xianguo Geng, Bo Xue