作者: Nanny Fröman , Per Olof Fröman
DOI: 10.1007/978-1-4612-2342-9_1
关键词: Schrödinger equation 、 Mathematical analysis 、 Differential equation 、 Mathematics 、 Section (fiber bundle) 、 A priori and a posteriori 、 WKB approximation 、 Phase (waves) 、 Order (group theory) 、 Invariant (mathematics)
摘要: We begin with a brief review of the so-called WKB approximation, its deficiencies in higher order, and attempts by several authors to remedy them. It is then shown that these do not appear phase-integral approximation generated from an priori unspecified base function, which was originally devised present 1974 presented here way clarifies role “small” parameter differential equation. The advantage this versus order also discussed. In discussion relations between solutions Schrodinger equation q-equation, Ermakov-Lewis invariant considered. concluding section we mention other items constitute method beside question.