8 research outputs found
Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties
This paper presents the construction of a new set of generalized photon-added
coherent states related to associated hypergeometric functions introduced in
our previous work (Hounkonnou M N and Sodoga K, 2005, J. Phys. A: Math. Gen 38,
7851). These states satisfy all required mathematical and physical properties.
The associated Stieltjes power-moment problem is explicitly solved by using
Meijer's G-function and the Mellin inversion theorem. Relevant quantum optical
and thermal characteristics are investigated. The formalism is applied to
particular cases of the associated Hermite, Laguerre, Jacobi polynomials and
hypergeometric functions. Their corresponding states exhibit sub-Poissonian
photon number statistics
Ab initio calculation of H + He charge transfer cross sections for plasma physics
The charge transfer in low energy (0.25 to 150 eV/amu) H() + He
collisions is investigated using a quasi-molecular approach for the as
well as the first two singlet states. The diabatic potential energy
curves of the HeH molecular ion are obtained from the adiabatic potential
energy curves and the non-adiabatic radial coupling matrix elements using a
two-by-two diabatization method, and a time-dependent wave-packet approach is
used to calculate the state-to-state cross sections. We find a strong
dependence of the charge transfer cross section in the principal and orbital
quantum numbers and of the initial or final state. We estimate the
effect of the non-adiabatic rotational couplings, which is found to be
important even at energies below 1 eV/amu. However, the effect is small on the
total cross sections at energies below 10 eV/amu. We observe that to calculate
charge transfer cross sections in a manifold, it is only necessary to
include states with , and we discuss the limitations of our
approach as the number of states increases.Comment: 14 pages, 10 figure
Ab initio calculation of the 66 low lying electronic states of HeH: adiabatic and diabatic representations
We present an ab initio study of the HeH molecule. Using the quantum
chemistry package MOLPRO and a large adapted basis set, we have calculated the
adiabatic potential energy curves of the first 20 , 19
, 12 , 9 , 4 and 2 electronic
states of the ion in CASSCF and CI approaches. The results are compared with
previous works. The radial and rotational non-adiabatic coupling matrix
elements as well as the dipole moments are also calculated. The asymptotic
behaviour of the potential energy curves and of the various couplings between
the states is also studied. Using the radial couplings, the diabatic
representation is defined and we present an example of our diabatization
procedure on the states.Comment: v2. Minor text changes. 28 pages, 18 figures. accepted in J. Phys.
Shape invariant potential formalism for photon-added coherent state construction
An algebro-operator approach, called shape invariant potential method, of
constructing generalized coherent states for photon-added particle system is
presented. Illustration is given on Poschl-Teller potential
Photodissociation and radiative association of HeH+ in the metastable triplet state
We investigate the photodissociation of the metastable triplet state of HeH+ as well as its formation through the inverse process, radiative association. In models of astrophysical plasmas, HeH+ is assumed to be present only in the ground state, and the influence of the triplet state has not been explored. It may be formed by radiative association during collisions between a proton and metastable helium, which are present in significant concentrations in nebulae. The triplet state can also be formed by association of He+ and H, although this process is less likely to occur. We compute the cross sections and rate coefficients corresponding to the photodissociation of the triplet state by UV photons from a central star using a wave packet method. We show that the photodissociation cross sections depend strongly on the initial vibrational state and that the effects of excited electronic states and non-adiabatic couplings cannot be neglected. We then calculate the cross section and rate coefficient for the radiative association of HeH+ in the metastable triplet state.SCOPUS: ar.jinfo:eu-repo/semantics/publishe