3 papers
cond-mat.stat-mech2026
Expansion of a free Fermi gas released from an isotropic trapping potential
J M Luck, P L Krapivsky
We consider a system of non-interacting fermions prepared in the many-body ground state of an isotropic trapping potential in any dimension, and investigate the ballistic expansion…
math.NT2026
Regularized products of Gauss and Eisenstein integers and primes
P. L. Krapivsky, J. M. Luck
We provide heuristic computations à la Euler of the regularized infinite products of Gauss and Eisenstein integers and primes. Our approach, yielding explicit expressions, is inspi…
math.NT2026
Zeta-regularization and natural boundaries: Sums and products of integers and primes
P. L. Krapivsky, J. M. Luck
Euler regularized the divergent product of all natural numbers and found beautiful formulas for regularized sums of integer powers of natural numbers. These derivations essentially…