Spinor representations on a sphere
β Scribed by S.S. Sannikov
- Publisher
- Elsevier Science
- Year
- 1966
- Weight
- 112 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0029-5582
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## Sprbljig A new approach to the boundary value problem for the classic Dirac equation is proposed. This approach is based on a recent version of the metaharmonic quaternionic analysis developed in [14-161. In particular, the following problem is studied: when and how a given function on a surfac
The aim of the present paper is to clarify the relationship between immersions of surfaces and solutions of the Dirac equation. The main idea leading to the description of a surface M2 by a spinor field is the observation that the restriction to M2 of any parallel spinor $ on Iw3 is a non-trivial sp
V. 1. Quantum Field Theory And Particles Yorikiyo Nagashima. Includes Bibliographical References And Index.
The representations of \(\operatorname{Spin}(4,2)\), seem to be of particular physical interest since its quotient \(S O(4,2)\), is the conformal group of the spacetime. Kostant [7] has considered the Laplacian on a projective cone in \(R^{8}\) and has shown that the kernel \(H\) of the Laplacian is
## Abstract Spinors are introduced using geometrical concepts only, such that no knowledge in representation theory is presupposed. The essential part is the purely geometrical proof of the conformity of the mapping of the celestial sphere onto itself induced by spinors.