STSM by Patrick O’Mahony, Royal Holloway University of London (UK) with Bernard Piraux, Institute of Condensed Matter and Nanosciences (BE)
On February 5, 2017 (15 days)

Sturmian bases for three-electron systems in hyperspherical coordinates

With the advent of new attosecond laser sources in the XUV it has become possible to excite several electrons simultaneously with the possibility of creating hollow atoms as was done for example with lithium using synchrotron radiation. To study such correlated wavepackets in time requires a concise and compact description of the many body problem. To this end the purpose of the visit was to initiate a new collaborative program to construct angular Sturmian functions in hyperspherical co-ordinates for 3-electron systems

We replaced the spherical coordinates  by the hyperspherical coordinates and constructed the angular Sturmian functions, , which account for the interaction of each of the electrons with the nucleus and the leading order term in the electron-electron interactions for each pair of electrons. They form a very compact complete basis when combined with radial Sturmians in the coordinate .

The STSM has led to a new code to construct the angular Sturmian functions. The next step is to construct properly anti-symmetrised basis functions so as to calculate the lowest eigenvalues for given LS states of lithium and He before tackling the time dependent problem of hollow atoms created by XUV pulses.

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