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Equivalence of the generalized and complex Kohn variational methods

Autor: Cooper, J. N., Plummer, M., Armour, E. A. G.

For Kohn variational calculations on low energy positron hydrogen molecule elastic scattering, we prove that the phase shift approximation obtained using the complex Kohn method is precisely equal to a value which can be obtained immediately via the

Externí odkaz: http://arxiv.org/abs/1001.1181

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Anomaly-free singularities in the generalized Kohn variational method

Autor: Cooper, J. N., Armour, E. A. G., Plummer, M.

We have carried out an analysis of singularities in Kohn variational calculations for low energy e^{+}-H_{2} elastic scattering. Provided that a sufficiently accurate trial wavefunction is used, we argue that our implementation of the Kohn variationa

Externí odkaz: http://arxiv.org/abs/0810.4814

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The importance of an accurate target wave function in variational calculations for (e^{+}-H_{2}) scattering

Autor: Cooper, J. N., Armour, E. A. G., Plummer, M.

Using the complex Kohn method, we have calculated variational values of phase shifts and the annihilation parameter, Z_{eff}, for the elastic scattering of positrons by molecular hydrogen. Our results are sensitive to small changes in the accuracy of

Externí odkaz: http://arxiv.org/abs/0810.0207

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Stability of Few-Charge Systems in Quantum Mechanics

Autor: Armour, E. A. G., Richard, J. -M., Varga, K.

We consider non-relativistic systems in quantum mechanics interacting through the Coulomb potential, and discuss the existence of bound states which are stable against spontaneous dissociation into smaller atoms or ions. We review the studies that ha

Externí odkaz: http://arxiv.org/abs/physics/0411204

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