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- W2009152184 abstract "The classical complex variable description of the real space linearly damped harmonic oscillator is generalized: the transformation to complex variables is parametrized by a continuous real degree of freedom s. This leads to a unified treatment of earlier results, corresponding to s = 0, ±1. In the quantum mechanical master equation the diffusion coefficients, connected with the dissipation, exactly satisfy Hasse's pure state representation condition in the long time limit for any s. The steady state energy fluctuations are greater than or equal (at s = −1) to their free oscillator value ħω/2 for the complete set of representations. Both in the classical friction limit (ħ ↓ 0, λ ≠ 0) and in the quantum limit of vanishing friction (λ ↓ 0, ħ ≠ 0), the parameter s disappears from the description of the physical real space oscillator." @default.
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- W2009152184 date "1980-12-01" @default.
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- W2009152184 title "Damped oscillator pure state representations" @default.
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- W2009152184 doi "https://doi.org/10.1016/0375-9601(80)90771-9" @default.
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