Resonances of the Square Root of the Pauli Operator

被引：4
|
作者：
Ito, Hiroshi T. [1 ]
机构：
[1] Ehime Univ, Dept Comp Sci, Matsuyama, Ehime 7908577, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2017年 / 53卷 / 04期
关键词：
Resonance; Pauli operator; nonrelativistic limit; ESSENTIAL SELF-ADJOINTNESS; POTENTIALS; LIMIT;
D O I：
10.4171/PRIMS/53-4-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the spectral properties of two relativistic Hamiltonians: one is the square root of a Pauli operator with an electric potential growing polynomially at infinity, and the other differs from it only in the sign of the potential. Moreover, we show that resonances (eigenvalues) of each of them converge to resonances (eigenvalues) of the corresponding Pauli operators with the same potential in the nonrelativistic limit.
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页码：517 / 549
页数：33
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