F Casas et al 2001 J. Phys. A: Math. Gen. 34 3379 doi:10.1088/0305-4470/34/16/305
F Casas1, J A Oteo2 and J Ros2,3
Show affiliationsWe develop a Magnus expansion well suited for Floquet theory of linear ordinary differential equations with periodic coefficients. We build up a recursive scheme to obtain the terms in the new expansion and give an explicit sufficient condition for its convergence. The method and formulae are applied to an illustrative example from quantum mechanics.
81Q15 Perturbation theories for operators and differential equations
Issue 16 (27 April 2001)
Received 29 November 2000
F Casas et al 2001 J. Phys. A: Math. Gen. 34 3379
Hans Havlicek et al 2001 J. Phys. A: Math. Gen. 34 3071
Katsuhiro Nishinari 2001 J. Phys. A: Math. Gen. 34 10727
V S Buyarov et al 2000 J. Phys. A: Math. Gen. 33 6549
Joachim Hermisson 2000 J. Phys. A: Math. Gen. 33 57
Bruno Apolloni and Diego de Falco 2000 J. Phys. A: Math. Gen. 33 3225
Yukito Iba 1999 J. Phys. A: Math. Gen. 32 3875
Jani Lukkarinen 1999 J. Phys. A: Math. Gen. 32 287
P Malits and I D Vagner 1999 J. Phys. A: Math. Gen. 32 1507
H G Ballesteros et al 1999 J. Phys. A: Math. Gen. 32 1