HORIZONS AND THE THERMAL HARMONIC OSCILLATOR

Horizons and the Thermal Harmonic Oscillator

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 a horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon. ∗email: [email protected] The quantum description of black holes ha...

Horizons and the Quantum and Thermal Harmonic Oscillator

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...

Super algebra and Harmonic Oscillator in Anti de Sitter space

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

Harmonic Oscillator

Quantizing the damped harmonic oscillator

We consider the Fermi quantization of the classical damped harmonic oscillator (dho). In past work on the subject, authors double the phase space of the dho in order to close the system at each moment in time. For an infinite-dimensional phase space, this method requires one to construct a representation of the CAR algebra for each time. We show that unitary dilation of the contraction semigrou...