Speaker
Description
This work is concerned with two(many)-spin-1/2-fermion relativistic quantum mechanics and it is about the construction of one-particle projectors and potentially, one-particle propagators, necessary for quantum-electrodynamics (QED) corrections, using an inherently two(many)-particle, `explicitly correlated' basis representation, necessary for good numerical convergence of the results.
It is demonstrated that a faithful representation of the one-particle operators, which appear in intermediate but essential computational steps, can be constructed over a many-particle basis set by accounting for the full Hilbert space, beyond the physically relevant anti-symmetric subspace.
Applications of this development can be foreseen
for the computation of quantum-electrodynamics corrections for a correlated relativistic reference state
and for high-precision relativistic computations of medium-to-high $Z$ helium-like systems, for which other two-particle projection techniques are unreliable.
References