56 citations · 118 across the 12 of their papers we have counts for
12 papers
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…
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…
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…
On multidimensional record patterns
P. L. Krapivsky, J. M. Luck
Multidimensional record patterns are random sets of lattice points defined by means of a recursive stochastic construction. The patterns thus generated owe their richness to the fa…
Return probability of fermions released from a 1D confining potential
P L Krapivsky, J M Luck, K Mallick
We consider non-interacting fermions prepared in the ground state of a 1D confining potential and submitted to an instantaneous quench consisting in releasing the trapping pote…
Quantum return probability of a system of non-interacting lattice fermions
P. L. Krapivsky, J. M. Luck, K. Mallick
We consider non-interacting fermions performing continuous-time quantum walks on a one-dimensional lattice. The system is launched from a most compact configuration where the f…