The real valued even and odd solutions take the following form: C(a,q,τ ) = ∞∑ n=−∞ cn cos ((2n +ν)τ), (C7) S(a,q,τ ) = ∞∑ n=−∞ cn sin ((2n +ν)τ), (C8) with 0 < ν < 1

Case when ν is real but not integer (ν∈ ]0, 1[) When the pair (a,q ) lies in the stable region between an(q), bn+1(q), the Fourier coeﬃcients are real, do not present any par

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Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap

cond-mat.quant-gas · 2019-08-04 · accept · novelty 5.0

This paper derives exact finite-temperature dynamics and stability boundaries for a Tonks-Girardeau gas in a periodically modulated harmonic trap, with both quantum and hydrodynamic descriptions reducing to the same Mathieu equation.

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Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap cond-mat.quant-gas · 2019-08-04 · accept · none · ref 4
This paper derives exact finite-temperature dynamics and stability boundaries for a Tonks-Girardeau gas in a periodically modulated harmonic trap, with both quantum and hydrodynamic descriptions reducing to the same Mathieu equation.

The real valued even and odd solutions take the following form: C(a,q,τ ) = ∞∑ n=−∞ cn cos ((2n +ν)τ), (C7) S(a,q,τ ) = ∞∑ n=−∞ cn sin ((2n +ν)τ), (C8) with 0 < ν < 1

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