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초록· 키워드
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The governing equation of primordial gravitational waves in de Sitter space takes the form of a harmonic oscillator with a time-dependent frequency. The Ermakov-Lewis invariant of this time-dependent harmonic oscillator is obtained using the mode solutions of the primordial gravitational wave and an auxiliary equation, which is dual to the mode equations, in de Sitter space. Additionally, the dual symmetry of the mode functions of the primordial gravitational wave is briefly mentioned by employing the invariance of the Schwarzian derivative.
목차
I. INTRODUCTION
II. PRIMORDIAL GRAVITATIONAL WAVES IN DE SITTER SPACE
III. ERMAKOV-LEWIS INVARIANT
IV. SYMMETRY IN TIME-DEPENDENT SYSTEMS
V. SUMMARY AND DISCUSSIONS
REFERENCES
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