3 citations · 7 across the 5 of their papers we have counts for
5 papers
Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
Jia-Feng Pan, Jia-Jia Luo, Xi-Wen Guan
Using exact Bethe ansatz solution, we rigorously study excitation spectra of the spin-1/2 Fermi gas (called Yang-Gaudin model) with an attractive interaction. Elementary excitation…
On the regularized -norm for Eisenstein series in the level aspect, Part II
Jiakun Pan
We obtain an conditional result for the regularized fourth moment of some newform Eisenstein series, using a recipe by Conrey, et al. We also discuss the fourth moment of truncated…
On the regularized -norm of Eisenstein series in the level aspect
Jiakun Pan
We prove an asymptotic formula expressing the regularized fourth moment of all newform Eisenstein series of primitive nebentypus as a mean value of -functions. This is an analog…
Quantum Unique Ergodicity for Eisenstein Series in the Level Aspect
Jiakun Pan, Matthew P. Young
We prove a variety of quantum unique ergodicity results for Eisenstein series in the level aspect. A new feature of this variant of QUE is that the main term involves the logarithm…
Minimal capacity points and the Lowest eigenfunctions
Mark Levi, Jia Pan
We introduce the concept of the point of minimal capacity of the domain, and observe a connection between this point and the lowest eigenfunction of a Laplacian on this domain, in…