The discrete Feynman integral

Dorlas, T. C. & Thomas, E. G. F., Sep-2008, In : Journal of Mathematical Physics. 49, 9, 11 p., 092101.

Research output: Contribution to journalArticleAcademicpeer-review

Copy link to clipboard



  • T. C. Dorlas
  • E. G. F. Thomas

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 Schrodinger equation with Hamiltonian H=-1/2 Delta+ V, where Delta is the discrete Laplacian and V is an arbitrary bounded potential. (C) 2008 American Institute of Physics.

Original languageEnglish
Article number092101
Number of pages11
JournalJournal of Mathematical Physics
Issue number9
Publication statusPublished - Sep-2008

Download statistics

No data available

ID: 4789585