operators in the semi-classical limit

• His argument for the separation of spectra associated to the different wells is less explicit than ours which uses the semi-classical trace formula (see Section 11.3).. • He does

Schr¨ odinger equation, ground state, stability, semiclassical limit, Wigner measure, WKB method..

Under a non-trapping condition on the effective potential, we compute the classical limit of S αα , acting on quantum observables and microlocalized by coherent states, in terms of

When the size of the approximant increases the usual Boltzmann term decreases rapidly and new non-Boltzmann terms become essential to understand transport properties..

Math. ICHINOSE, A note on the existence and 0127-dependency of the solution of equations in quantum mechanics, Osaka J.. WANG, Approximation semi-classique de l’equation

Annales de l’Institut Henri Poincaré - Physique théorique.. of hamiltonian systems of differential equations) are described in literature on classical mechanics e.g.. A

WHITE, The nonrelativistic limit of the Dirac operator: Splitting of the operator and classification of the discrete spectrum,

field through the use of a non commutative algebra of operators generaliz- ing the algebra of classical observables on the corresponding classical phase space.. It