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On the spectrum of the Dirac operator

โœ Scribed by S. N. Roze


Book ID
112466769
Publisher
SP MAIK Nauka/Interperiodica
Year
1970
Tongue
English
Weight
223 KB
Volume
2
Category
Article
ISSN
0040-5779

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Remarks on the spectrum of Dirac operato
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This paper concerns the number of eigenvalues of the Dirac operator in ] -1, 1[ and gives the number of linear indePendent eigenfunctions with total angular momentum k in ]/z, 1 [.

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We represent the real hyperbolic space H" as the rank one homogeneous space Spin (1, n)/ Spin (n) and the spinor bundle S of H as the homogeneous bundle Spin (1, n) x (",V, where V, is the spinor representation space of Spin (n). The representation theoretic decomposition of L2(H, S) combined with t