On the Global Limiting Absorption Principle for Massless Dirac Operators

Carey Alan; Gesztesy Fritz; Kaad Jens; Levitina Galina; Nichols Roger; Potapov Denis; Sukochev Fedor

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On the Global Limiting Absorption Principle for Massless Dirac Operators

机译：关于无大量迪拉克运营商的全球限制吸收原理

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We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators for all space dimensions , . This is a new result for all dimensions other than three, in particular, it applies to the two-dimensional case which is known to be of some relevance in applications to graphene. We also prove an essential self-adjointness result for first-order matrix-valued differential operators with Lipschitz coefficients.

机译：对于所有空间尺寸，我们证明了整个实际线条的全球限制吸收原理，可用于所有空间尺寸。这是除三个之外的所有尺寸的新结果，特别是它适用于已知在将应用于石墨烯中的一些相关性的二维壳体。我们还证明了具有Lipschitz系数的一阶矩阵值差分运算符的基本自伴性结果。

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《Annales Henri Poincare》 |2018年第7期|共27页
作者
Carey Alan; Gesztesy Fritz; Kaad Jens; Levitina Galina; Nichols Roger; Potapov Denis; Sukochev Fedor;
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作者单位

Australian Natl Univ Inst Math Sci Kingsley St Canberra ACT 0200 Australia;

Baylor Univ Dept Math One Bear Pl 97328 Waco TX 76798 USA;

Univ Southern Denmark Dept Math &

Comp Sci Campusvej 55 DK-5230 Odense M Denmark;

UNSW Sch Math &

Stat Kensington NSW 2052 Australia;

Univ Tennessee Dept Math 415 EMCS Bldg Dept 6956 615 McCallie Ave Chattanooga TN 37403 USA;

UNSW Sch Math &

Stat Kensington NSW 2052 Australia;

UNSW Sch Math &

Stat Kensington NSW 2052 Australia;

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正文语种 eng
中图分类理论物理学;
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1. On the Global Limiting Absorption Principle for Massless Dirac Operators [J] . Carey Alan, Gesztesy Fritz, Kaad Jens, Annales Henri Poincare . 2018,第7期

机译：关于无大量迪拉克运营商的全球限制吸收原理
2. Limiting Absorption Principle and Strichartz Estimates for Dirac Operators in Two and Higher Dimensions [J] . Erdogan M. Burak, Goldberg Michael, Green William R. Communications in Mathematical Physics . 2019,第1期

机译：极限吸收原理和两种尺寸迪拉克算子的Strichartz估计
3. Limiting Absorption Principle at Critical Values for the Dirac Operator [J] . A. Iftimovici, M. Mantoiu Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 1999,第3期

机译：Dirac算子的临界值限制吸收原理
4. A turning point problem arising in connection with a limiting absorption principle for schrodinger operators with generallized von neumann-wigner potentials [C] . Peter Rejto, Mario Taboada Congress of the International Society for Analysis, Applications, and Computing;ISAAC . 1998

机译：有关施罗德·普通州 - Wigner潜力的施罗登算子的限制吸收原理而产生的转折点问题
5. The concentration principle for Dirac operators. [D] . Maridakis, Manousos. 2014

机译：狄拉克算子的集中原理。
6. Massive and massless Dirac fermions in Pb1−xSnxTe topological crystalline insulator probed by magneto-optical absorption [O] . B.A. Assaf, T. Phuphachong, V.V. Volobuev, -1

机译：磁光吸收探测Pb1-xSnxTe拓扑晶体绝缘子中的质量和无质量狄拉克费米子
7. On the Global Limiting Absorption Principle for Massless Dirac Operators [O] . Carey, Alan, Gesztesy, Fritz, Kaad, Jens, 2017

机译：关于无质量Dirac算子的全局极限吸收原理

On the Global Limiting Absorption Principle for Massless Dirac Operators

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