Convergence of quantum systems on grids

Autor: Veeravalli S. Varadarajan, David Weisbart
Rok vydání: 2007
Předmět:
Zdroj: Journal of Mathematical Analysis and Applications. 336(1):608-624
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.02.073
Popis: We discuss here the convergence of quantum systems on grids embedded in R d and generalize the earlier results found for scalar-valued potentials to the case of matrix-valued potentials. We also discuss the essential self-adjointness of Schrodinger operators for a large class of matrix potentials and give a Feynman–Kac formula for their associated imaginary time Schrodinger semigroups when the matrix potential is positive and continuous. Furthermore, we establish an operator kernel estimate for the semigroups.
Databáze: OpenAIRE
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