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JÜRGEN MOSER – 80
Equilibrium points of classical integrable particle systems, factorization of wave functions of their quantum analogs and polynomial solutions of the Hill equation
V.I. Inozemtsev Joint Institute for Nuclear Research,
Dubna, 141980, Moscow Region, Russia
Аннотация:
The relation between the characteristics of the equilibrium configurations of the classical Calogero–Moser integrable systems and properties of the ground state of their quantum analogs is found. It is shown that under the condition of factorization of the wave function of these systems the coordinates of classical particles at equilibrium are zeroes of the polynomial solutions of the second-order linear differential equation. It turns out that, under these conditions, the dependence of classical and quantum minimal energies on the parameters of the interaction potential is the same.
Ключевые слова:
Calogero–Moser systems, equilibrium points, Hill equation.
Поступила в редакцию: 04.05.2008 Принята в печать: 15.06.2008
Образец цитирования:
V.I. Inozemtsev, “Equilibrium points of classical integrable particle systems, factorization of wave functions of their quantum analogs and polynomial solutions of the Hill equation”, Regul. Chaotic Dyn., 13:6 (2008), 588–592
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd603 https://www.mathnet.ru/rus/rcd/v13/i6/p588
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Страница аннотации: | 68 |
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