This article is cited in 14 papers

Schrödinger-type operator over $p$-adic number field

A. N. Kochubei


Abstract: The spectral properties of a Schrödinger-type $p$-adic operator are studied. The self-adjointness of the minimal operator is proved. The completeness of the eigenvectors, the asymptotic behavior of the eigenvalues, and the position of the essential spectrum are considered.

Received: 24.08.1990

 English version: Theoretical and Mathematical Physics, 1991, 86:3, 221–228

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