37 citations · 222 across the 52 of their papers we have counts for
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Dynamical classical-field limit of Bosonic Gibbs states: Renormalized Hartree NLS correlations in 2D and 3D
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
In this paper we derive the time-dependent correlation functions of the renormalized Hartree NLS equation on the torus , , from the corresponding bosonic many-b…
Theory from many-body quantum Gibbs states
Phan Thành Nam, Zhilin Yang, Xiangchan Zhu
We derive the measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding t…
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
We derive the classical Gibbs measure on associated with the fractional Bessel interaction potential from a renormalized gra…
Theory from many-body quantum Gibbs states
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
We derive the measure on the torus as a rigorous limit of the quantum Gibbs state of an interacting Bose gas. To be precise, starting from many-body quantum mechanics, wher…