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N. Nakanishi and I. Ojima, Covariant operator formalism of gauge theories and quantum gravity - World Sci. Lect. Notes. Phys -, 1990.

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Spherical Harmonic on a Four Sphere

1Department of Physics, National Institute of Technology, Srinagar, Kashmir, India

2Department of Applied Sciences, College of Engineering and Technology, BGSB University, Rajouri, India

3Department of Physics, Aligarh Muslim University, U.P, India


Applied Mathematics and Physics. 2014, Vol. 2 No. 5, 157-160
DOI: 10.12691/amp-2-5-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Shabir Ahmad Akhoon, Ashaq Hussain Sofi, Anil Maini, Asloob Ahmad Rather. Spherical Harmonic on a Four Sphere. Applied Mathematics and Physics. 2014; 2(5):157-160. doi: 10.12691/amp-2-5-1.

Correspondence to: Ashaq  Hussain Sofi, Department of Physics, National Institute of Technology, Srinagar, Kashmir, India. Email: shifs237@gmail.com

Abstract

In this paper, we will analyse the scalar harmonics on a four sphere using a associated Legendre function. Then, we will use these modes to construct two types of vector harmonics on a four sphere. Finally, we will also construct three types of tensor harmonics on a four sphere. As there is a relation between de Sitter spacetime and four sphere, these modes are related to the modes on de Sitter spacetime.

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