Some remarks concerning the Feynman “integral over all paths” method

Daisuke Fujiwara

Jan T. Łopuszański

Bipin R. Desai

Philip R. Wallace

Jan T. Łopuszański

Suppose we have two nonequivalent but s-equivalent Lagrange functions, the question arises: are they both equally well fitted for the Feynman quantization procedure or do they lead to two different quantization schemes.

Adrian Patrascioiu, Jean‐Louis Richard

Certain technical subleties regarding the Feynman–Kac representation of the propagator for motion on compact spaces are discussed. A method of evaluation of the corresponding path integral is given. It produces the correct spectrum for the Hamiltonian, while the ordinary semiclassical method fails.