We construct a genuine Radon measure with values in B(l^2(Z^d)) on the set of paths in Z^d representing Feynman’s integral for the discrete Laplacian on l^2(Z^d), and we prove the Feynman integral formula for the solutions of the Schrödinger equation with Hamiltonian H = (-1/2)∆ + V , where ∆ is the discrete Laplacian and V is an arbitrary bounded potential.
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Type = Article
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Status = Preprint
E. G. F. Thomas,
T. C. Dorlas
