Polygonal-Path Approximation on the Path Spaces of Quantum Mechanical Systems: Extended Feynman Maps

摘要

Various types of polygonal-path approximations appearing in the functional-integration theory are discussed. The uniform approximation is applied to extend the definition of the Feynman maps from our previous paper and to prove consistency of this extension. Relations of the extended Fsub(-i)-map to the Wiener integral are given. In particular, the basic theorem about the sequential Wiener integral by Cameron is improved. (Atomindex citation 13:642818)