论具有两点边界条件的非自相邻狄拉克算子频谱

Pub Date : 2024-06-05 DOI:10.1134/s0012266124020022

A. S. Makin

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引用次数: 0

摘要

摘要我们考虑了具有任意两点边界条件和任意平方可积分势 \(V\) 的狄拉克算子的谱问题。建立了全函数成为这种算子特征行列式的必要条件和充分条件。在不规则边界条件的情况下，找到了复数集合是所考虑问题的谱的条件。

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On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions

Abstract

We consider the spectral problem for the Dirac operator with arbitrary two-point boundary conditions and any square integrable potential \(V\). Necessary and sufficient conditions for an entire function to be the characteristic determinant of such an operator are established. In the case of irregular boundary conditions, conditions are found under which a set of complex numbers is the spectrum of the problem under consideration.

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