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- [1] THE DIRAC OPERATOR WITH MASS m0 ≥ 0: NON-EXISTENCE OF ZERO MODES AND OF THRESHOLD EIGENVALUES (vol 20, pg 37, 2015)DOCUMENTA MATHEMATICA, 2019, 24 : 1361 - 1363Kalf, HubertOkaji, TakashiYamada, Osanobu
THE DIRAC OPERATOR WITH MASS m0 ≥ 0: NON-EXISTENCE OF ZERO MODES AND OF THRESHOLD EIGENVALUES
被引：0
|作者：
Kalf, Hubert
[1
]
Okaji, Takashi
[2
]
Yamada, Osanobu
[3
]
机构：
[1] Univ Munich, Math Inst, D-80333 Munich, Germany
[2] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan
[3] Ritsumeikan Univ, Fac Sci & Engn, Shiga 5258577, Japan
来源：
DOCUMENTA MATHEMATICA
|
2015年
/
20卷
关键词：
Dirac operators;
virial theorem;
threshold eigenvalue;
zero mode;
POTENTIALS;
SYSTEMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
A simple global condition on the potential is given which excludes zero modes of the massless Dirac operator. As far as local conditions at infinity are concerned, it is shown that at energy zero the Dirac equation without mass term has no non-trivial L-2-solutions at infinity for potentials which are either very slowly varying or decaying at most like r(-s) with s is an element of (0, 1). When a mass term is present, it is proved that at the thresholds there are again no such solutions when the potential decays at most like r(-s) with s is an element of (0, 2). In both situations the decay rate is optimal.
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页码：37 / 64
页数：28
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