An equation for disentangling time-ordered exponentials with arbitrary quadratic generators
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 331-336
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
An ordinary differential equation on the Lie matrix algebra is found by the Weyl analysis methods, which is invariant under the adjoint action of the dynamic symmetry group of the quadratic Hamiltonian. The equation can replace the operator evolution equation for the Green function.
[1] Berezin F. A., UFN, 132:3 (1980), 497–589 ; Березин Ф. А., Шубин М. А., Уравнение Шредингера, МГУ, М., 1983 | DOI | MR | MR
[2] Marinov M. S., Phys. Rep. C, 60:1 (1980), 1–57 | DOI | MR
[3] Budanov V. G., TMF, 61:3 (1984), 347–363 ; 64:1 (1985), 17–31 | MR | MR
[4] Perelomov A. M., UFN, 123:1 (1977), 23–56 | DOI
[5] Postnikov M. M., Lektsii po geometrii. Semestr V. Gruppy i algebry Li, Nauka, M., 1982 | MR
[6] Barut A., Ronchka R., Teoriya predstavlenii grupp i ee prilozheniya, Mir, M., 1980 | MR | Zbl
[7] Fomenko A. T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, Izd-vo MGU, M., 1983 | Zbl