THE HAMILTONIAN PATH INTEGRAL FOR POTENTIALS OF THE ALBEVERIO HOEGH-KROHN CLASS-A WHITE NOISE APPROACH
REPORTS ON MATHEMATICAL PHYSICS. Bd. 79. H. 1. 2017 S. 89 - 109
Erscheinungsjahr: 2017
ISBN/ISSN: 0034-4877
Publikationstyp: Zeitschriftenaufsatz
Doi/URN: 10.1016/S0034-4877(17)30023-X
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Inhaltszusammenfassung
We identify the integrand for the Hamiltonian path integral in space representation as a Kondratiev distribution. For this purpose we use methods from white noise analysis to compute also the Green's function of the underlying Schrodinger equation. We show that its generalized expectation solves the Schrodinger equation and that a functional form of the canonical commutation realtions is fulfilled.
