Diffusion and quantum dynamics on graphs (Q382188)

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scientific article; zbMATH DE number 6228425
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Diffusion and quantum dynamics on graphs
scientific article; zbMATH DE number 6228425

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    Diffusion and quantum dynamics on graphs (English)
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    18 November 2013
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    Schrödinger operators on graphs with one vertex or more vertices are considered. In the first two sections, self-adjoint extensions of these operators are described. In the third section, using a theorem of \textit{P. R. Chernoff} [J. Funct. Anal. 2, 238--242 (1968; Zbl 0157.21501)], Feynman formulas for operators on graphs with one vertex are derived.
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    Schrödinger operator on graphs
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    self-adjoint extension
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    Feynman formula
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