The non-trivial zeros of the Riemann zeta function are central objects in number theory. In
particular, they enable one to reproduce the prime numbers. They have also attracted the …

The distribution of primes over the set of natural numbers is a fascinating subject closely
related to topics that range from the fundamental problem of factorization to applications in …

Making use of the first-and second-order algorithms of supersymmetric quantum mechanics
(SUSY-QM), we construct quantum mechanical Hamiltonians whose spectra are related to …

The Hilbert-P\'{o} lya conjecture asserts that the imaginary parts of the nontrivial zeros of the
Riemann zeta function (the Riemann zeros) are the eigenvalues of a self-adjoint operator (a …

We study a system of one-dimensional interacting quantum particles subjected to a time-
periodic potential linear in space. After discussing the cases of driven one-and two-particle …

Adiabatic Invariance (AdI), Hill Equation formalism (HEF), and the Least Action Principle
(LAP), three relevant tools of theoretical physics are here separately applied to a one …

The non-trivial zeros of the Riemann zeta function are central objects in number theory. In
particular, they enable one to reproduce the prime numbers. They have also attracted the …

A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest
eigenvalue λ0 of the one-body-density matrix scales as λ0∼ N, where N is the total number …

Résumé Les zéros non triviaux de la fonction zeta de Riemann sont des objets centraux en
théorie des nombres. En particulier, ils permettent de reproduire les nombres premiers. Ils …