论文标题
相对于三个参数谎言组,具有依赖位置质量的可整合量子机械系统不变
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups
论文作者
论文摘要
量子机械系统具有依赖位置的质量(PDM),并分类了更维的对称代数。也就是说,除了其不变性W.R.T.外,所有PDM系统均被指定。一个三个参数谎言组,至少承认运动的运动积分。提出的分类部分扩展到更通用的系统,该系统接纳一个或两个参数谎言组。
Quantum mechanical systems with position dependent masses (PDM) admitting for and more dimensional symmetry algebras are classified. Namely, all PDM systems are specified which, in addition to their invariance w.r.t. a three parametric Lie group, admit at least one second order integral of motion. The presented classification is partially extended to the more generic systems which admit one or two parametric Lie groups.