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- W4313331837 abstract "Let [Formula: see text] be an algebraic number field. With [Formula: see text] we associate the ring of finite adeles [Formula: see text] In this paper we give a path integral formula for the propagator of a quantum mechanical system over the abelian group [Formula: see text] Specifically, we consider matrix-valued Hamiltonian operators [Formula: see text] where [Formula: see text] is the Vladimirov operator and [Formula: see text] is a non-negative definite potential. The free part of the Hamiltonian gives rise to a measure on the Skorokhod space of paths which allows us to prove the Feynman–Kac formula for the Schrödinger semigroup generated by [Formula: see text] This formula is given in terms of the ordered time exponentials." @default.
- W4313331837 created "2023-01-06" @default.
- W4313331837 creator A5002846060 @default.
- W4313331837 date "2023-03-30" @default.
- W4313331837 modified "2023-10-06" @default.
- W4313331837 title "Matrix-valued Schrödinger operators over finite adeles" @default.
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- W4313331837 doi "https://doi.org/10.1142/s021902572250031x" @default.
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