Dirac operators on the S3 and S2 spheres

被引：3

作者：

di Cosmo, Fabio ^{[1
]}

Zampini, Alessandro ^{[2
,3
]}

机构：

[1] Univ Napoli, Dipartimento Sci Fis, INFN, Sez Napoli, Via Cintia, I-80126 Naples, Italy

[2] Univ Luxembourg, Math Res Unit, 6 Rue Richard Coudenhove Kalergi, Cite De Luxembourg, Luxembourg

[3] INFN, Sez Napoli, Via Cintia, I-80126 Naples, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 08期

关键词：

Dirac operators; spinors; spheres; SPINORS; SPACES; FORMS;

D O I：

10.1142/S0219887817400059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe both the Hodge-de Rham and the spin manifold Dirac operator on the spheres S-3 and S-2, following the formalism introduced by Kahler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.

引用

页数：34

共 50 条

[31] Hyperopic LASIK results with LadarVision, Visx S2 and Visx S3
Oral, D
McCulley, JP
Bowman, R
Cavanagh, H
El-Agha, MSH
Seward, MS
INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 2003, 44 : U17 - U17
[32] FINITELY ADDITIVE MEASURES ON S2 AND S3, INVARIANT WITH RESPECT TO ROTATIONS
DRINFELD, VG
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1984, 18 (03) : 245 - 246
[33] ON HARMONIC MAPS BETWEEN S3 AND S2 OF PRESCRIBED HOPF INVARIANT
RATTO, A
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 104 : 273 - 276
[34] Mechanisms for proton release during water oxidation in the S2 to S3 and S3 to S4 transitions in photosystem II
Siegbahn, Per E. M.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2012, 14 (14) : 4849 - 4856
[35] CHEMICAL STUDIES ON ACTINOMYCIN S .2. CHEMICAL STRUCTURES OF ACTINOMYCIN S2 AND S3
FURUKAWA, M
INOUE, A
ASANO, K
KAWAMATA, J
JOURNAL OF ANTIBIOTICS, 1968, 21 (09): : 568 - &
[36] Fuchsian analysis of S2 x S1 and S3 Gowdy spacetimes
Ståhl, F
CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (17) : 4483 - 4504
[37] Functional Description of S1 x S2 and S3 Gowdy Cosmologies
Gomez Vergel, Daniel
Villasenor, Eduardo J. S.
WORKSHOP ON HIGHER SYMMETRIES IN PHYSICS, 2009, 175
[38] PLASMIN SPECIFIC INHIBITORS: ADDITIONAL INTERACTION AT THE S2/S3 AND S'1 SITES
Tsuda, Y.
Hidaka, K.
Gohda, K.
Teno, N.
Wanaka, K.
JOURNAL OF PEPTIDE SCIENCE, 2014, 20 : S230 - S231
[39] WILD POINTS OF CELLULAR SUBSETS OF SPHERES IN S3 2
LOVELAND, LD
MICHIGAN MATHEMATICAL JOURNAL, 1968, 15 (02) : 191 - &
[40] ALMOST LOCALLY POLYHEDRAL 2-SPHERES IN S3
CANTRELL, JC
DUKE MATHEMATICAL JOURNAL, 1963, 30 (02) : 249 - &

← 1 2 3 4 5 →