• Corpus ID: 238634770

Quantum harmonic oscillators and thermalization

  title={Quantum harmonic oscillators and thermalization},
  author={Hyeong-Chan Kim and Youngone Lee},
We study a quantum harmonic oscillator undergoing thermalization. To describe the thermalization process, we generalize the Ermakov-Lewis-Riesenfeld (ELR) invariant method for the oscillator. After imposing appropriate conditions on the thermalization process, we introduce an ansatz equation that describes the time evolution effectively. We write down the first law for thermalization in the same form as that for ordinary thermodynamics. Here, the thermalization effect appears through a change… 

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