Non-spurious harmonic oscillator states with arbitrary symmetry

Akiva Novoselsky, Jacob Katriel

Valdir C. Aguilera-Navarro, M. Moshińsky, Peter Krämer

Akiva Novoselsky, Jacob Katriel

The authors consider a system of identical particles distributed in two clusters and described by harmonic oscillator wavefunctions. A set of non-spurious two-cluster states, whose centre-of-mass is at rest, is constructed. It is characterized by the cluster Yamanouchi symbols as well as by its overall permutational symmetry, angular momentum and total energy. Applications to nuclear cluster models, to the evaluation of nuclear spectroscopic factors, to the description of nuclei as quark-clusters, and to the study of interacting rare-gas clusters are pointed out.

K. Dechoum, H. M. França

Huber Nieto–Chaupis

Commonly, coherent states can be represented in terms of an exact expansion of Fock's states and a Gaussian distribution. This paper explores the harmonic quantum oscillator through integer-order Bessel functions expected to replace Gaussian profiles. As consequence of having opted Bessel polynomials, the annihilation and creator operators acquire a new mathematical form. This led to construct a kind of Glauber-Bessel Hamiltonian that reproduces standard quantum oscillator energies as well as spurious terms that are interpreted as an inherent noise. In praxis, this novel Hamiltonian can be employed to model cases in which there is evidence of spurious pulses in an experimental scenario of photons correlation without any formalism of perturbation theory.

K. Dechoum, H. M. França