Horizons and the Quantum and Thermal Harmonic Oscillator
نویسنده
چکیده
We show that two-dimensional anti-de Sitter spacetime (AdS2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS2 has an horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon. The spectrum of the quantum harmonic oscillator is obtained from classical free particle dynamics using the geometry and the topology of the anti-de Sitter spacetime. ∗email: [email protected]
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