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Zbl 0738.35050
Ivrii, Victor
Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity. (English)
[J] Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1991, No.X, 5 p. (1991).

In this lecture we consider the Schrödinger and Dirac operators in $\bbfR\sp n(d=2,3)$ with a constant non-zero magnetic field and with electric potential decreasing at infinity and we derive the asymptotics of the eigenvalues of these operators tending to the boundary of the essential spectrum. Moreover, certain generalizations are discussed.
MSC 2000:
*35P20 Asymptotic distribution of eigenvalues for PD operators

Keywords: Schrödinger operators; eigenvalue asymptotics; Dirac operators

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