Trace formulas for Schrödinger operators on periodic graphs
نویسندگان
چکیده
We consider Schrödinger operators with periodic potentials on discrete graphs. Their spectrum consists of a finite number bands. determine trace formulas for the operators. The proof is based decomposition into direct integral and specific representation fiber traces are expressed as Fourier series quasimomentum. coefficients given in terms cycles quotient graph from some cycle sets. also present heat kernel resolvent determinant formulas.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125888