Centre de Physique Théorique

New dimensions at a millimeter to a fermi and superstrings at a TeV

Cycle-octave and related transforms in seismic signal analysis

The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines

Transforms associated to square integrable group representations. I. General results

Let G be a locally compact group, which need not be unimodular. Let x→U(x) (x∈G) be an irreducible unitary representation of G in a Hilbert space ℋ(U). Assume that U is square i...

Wavelets associated with representations of the affine Weyl–Heisenberg group

The affine Weyl–Heisenberg group (generated by time and frequency translations, and time dilations) is considered, and some associated resolutions of the identity are derived. A...

Functions analytic on the half-plane as quantum mechanical states

A transform between the state space of one-dimensional quantum mechanical systems and a direct sum of two spaces of square integrable functions analytic on the open upper half-p...