CREATION AND ANNIHILATION OPERATORS ON DE SITTER MANIFOLD

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RABEIE A.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS
Year:2017 | Issue:5

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Title

CREATION AND ANNIHILATION OPERATORS ON DE SITTER MANIFOLD

Author(s)

RABEIE A.

Keywords

COHERENT STATES

ORBIT

QUANTIZATION

Abstract

IN THIS PAPER BY USING THE KIRILLOV ORBIT METHOD, WE SHOW THAT THE PHASE SPACE FOR A SCALAR MASSIVE PARTICLE ON 1+1-DE SITTER SPACE IS A COTANGENT BUNDLE T* (S1) WHICH IS ISOMORPHIC TO THE COMPLEX CIRCLE S1C. THE EIGENSTATES IN ASSOCIATED HILBERT SPACE WHICH ARE THE COHERENT STATES, ARE OBTAINED FROM THE HEAT KERNEL OF COMPLEX CIRCLE. BY THESE STATES AND THE BEREZIN INTEGRAL QUANTIZATION, WE OBTAIN THE CREATION AND ANNIHILATION OPERATORS ON DE SITTER.

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APA: Copy

RABEIE, A.. (2017). CREATION AND ANNIHILATION OPERATORS ON DE SITTER MANIFOLD. SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. SID. https://sid.ir/paper/940033/en

Vancouver: Copy

RABEIE A.. CREATION AND ANNIHILATION OPERATORS ON DE SITTER MANIFOLD. 2017. Available from: https://sid.ir/paper/940033/en

IEEE: Copy

A. RABEIE, “CREATION AND ANNIHILATION OPERATORS ON DE SITTER MANIFOLD,” presented at the SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. 2017, [Online]. Available: https://sid.ir/paper/940033/en

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