Equivalence between path integral formulation and matrix formulation

[wenty]

Does anyone know where to find the "direct" (not by prove they are both equal to Schrodinger formualtion )proof?

[dextercioby]

There's no direct proof.Both matrix mechanics and Schrödinger's wave mechanics are particular representations of Dirac's abstract formulation.So the equivalence is between formulations:path integral (R.P.Feynman) and traditional (vectors and operators,P.A.M.Dirac).

There's a famous book which deals with this issue:

Feynman and Hibbs,"Quantum Mechanics and Path Integrals",McGraw & Hill,1965.

The essential of that book is found as a chapter/subchapter in many QM texts,outta which i'd like to mention Sakurai and Cohen-Tannoudji.

Daniel.