%0 Journal Article
%T The Cartesian momentum and the kinetic operators on curved surfaces<br>曲面上的动量和动能算符
%A Liu Quan-Hui
%A <br>刘全慧
%J 物理学报
%D 2008
%I 
%X For describing particles moving on the two dimensional curved surfaces, we can use either the intrinsic local coordinates or the Cartesian coordinates. The representation of the momentum operators differs from each other in these two kinds of coordinates, the former ones depend on the intrinsic geometrical quantities, but the latter case depend on a geometrical invariant, namely the mean curvature. Taking the operator-ordering problem into consideration, the kinetic operator for the former case can be expressed in a possibly unique way, while that for latter case can be expressed in two different ways.
%K quantum mechanics
%K differential geometry<br>量子力学，
%K 微分几何
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=494A1C34B996CFC317A8F596941C7187&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=0B39A22176CE99FB&sid=8B1FE194AD66DC3D&eid=2E4E3741E8FB64E9&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=16