Uniform product formulae with application to the Feynman-Nelson integral for open systems

Pavel Exner GL Kolerov

TBD mathscidoc:1910.43260

1981
Among approaches to defining the Feynman integral, various sequential methods are probably the most popular ones. Here we consider that one based on product formulae, the original idea of which belongs to Nelson71'. This method is powerful in the sense that it enables to prove the strict version of Feynman's basic dynamical formula for a wide class of poten tials^^/including time-dependent ones/4/in comparison with other known methods (see, eg, refs./5, 6/). 0n the other, hand, the method does not correspond exactly to Feynman's heuristic prescription because it replaces the exact action along poly gonal paths by its Riemannian approximation. Moreover, one can regard as an unsatisfactory feature that it employs the" equidistant" time-interval partitions only. In the present paper we show that the last mentioned sour ce of arbitrariness can be removed: the product formula for perturbations of propagators by
No keywords uploaded!
[ Download ] [ 2019-10-20 13:50:25 uploaded by Pavel_Exner ] [ 394 downloads ] [ 0 comments ]
@inproceedings{pavel1981uniform,
  title={Uniform product formulae with application to the Feynman-Nelson integral for open systems},
  author={Pavel Exner, and GL Kolerov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020135025870592789},
  year={1981},
}
Pavel Exner, and GL Kolerov. Uniform product formulae with application to the Feynman-Nelson integral for open systems. 1981. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020135025870592789.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved