摘要:

AbstractIn this paper path integration in two‐ and three‐dimensional spaces of constant curvature is discussed: i.e. the flat spaces R2and R3, the two‐ and three‐dimensional sphere and the two‐ and three‐dimensional pseudosphere. We are going to discuss all coordinates systems where the Laplace operator admits separation of variables. In all of them the path integral formulation will be stated, however in most of them an explicit solution in terms of the spectral expansion can be given only on a formal level. What can be stated in all cases, are the propagator and the corresponding Green function, respectively, depending on the invariant distance which is a coordinate independent quantity. This property gives rise to numerous identities connecting the corresponding path integral representations and propagators in various coordinate systems with

ISSN:0015-8208    

DOI:10.1002/prop.2190420602

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190420601

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY