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Probabilistic approach to boundary value problems for Schrödinger's equation

    https://doi.org/10.1142/9789812567130_0019Cited by:0 (Source: Crossref)
    Abstract:

    Schrödinger's equation is put in this reduced form:

    where D is a bounded domain in Rd, d ≥ 1; Δ is the Laplacian; q is a function in D satisfying some conditions to be specified later. The Dirichlet boundary condition is