%0 Journal Article %T The quantum anharmonic oscillator in the Heisenberg picture and multiple scale techniques %+ Laboratoire de Physique Mathématique et Théorique (PMT) %A Auberson, Guy %A Capdequi-Peyranere, Michel %Z 18 pages %< avec comité de lecture %Z 01-036 %@ 1050-2947 %J Physical Review A : Atomic, molecular, and optical physics [1990-2015] %I American Physical Society %V 65 %P 032120 %8 2002 %D 2002 %Z hep-th/0110275 %R 10.1103/PhysRevA.65.032120 %Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles %X Multiple scale techniques are well-known in classical mechanics to give perturbation series free from resonant terms. When applied to the quantum anharmonic oscillator, these techniques lead to interesting features concerning the solution of the Heisenberg equations of motion and the Hamiltonian spectrum. %G English %L hal-00012088 %U https://hal.science/hal-00012088 %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2