Michel Vittot 2004 J. Phys. A: Math. Gen. 37 6337 doi:10.1088/0305-4470/37/24/011
Michel Vittot
Show affiliationsWe consider a perturbation of an 'integrable' Hamiltonian and give an expression for the canonical or unitary transformation which 'simplifies' this perturbed system. The problem is to invert a functional defined on the Lie-algebra of observables. We give a bound for the perturbation in order to solve this inversion, and apply this result to a particular case of the control theory, as a first example, and to the 'quantum adiabatic transformation', as another example.
17B45 Lie algebras of linear algebraic groups (See also 14Lxx and 20Gxx)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 24 (18 June 2004)
Received 10 November 2003
Published 2 June 2004
Michel Vittot 2004 J. Phys. A: Math. Gen. 37 6337
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