Properties of the eigenfunctions of a Schrödinger operator with periodic porential in the presence of a magnetic field

V. V. Dyakin


Abstract: The methods of functional analysis are used to study the properties of the eigenfunctions of a Schrödinger operator with periodic potential in the presence of a constant magnetic field. The operator is considered on functions defined in the whole of three-dimensional space.

Received: 06.12.1972

 English version: Theoretical and Mathematical Physics, 1974, 18:1, 49–54

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