6 research outputs found
The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules
Interactions in atomic and molecular systems are dominated by electromagnetic
forces and the theoretical framework must be in the quantum regime. The
physical theory for the combination of quantum mechanics and electromagnetism,
quantum electrodynamics has been established by the mid-twentieth century,
primarily as a scattering theory. To describe atoms and molecules, it is
important to consider bound states. In the non-relativistic quantum mechanics
framework, bound states can be efficiently computed using robust and general
methodologies with systematic approximations developed for solving wave
equations. With the sight of the development of a computational quantum
electrodynamics framework for atomic and molecular matter, the field theoretic
Bethe-Salpeter wave equation expressed in space-time coordinates, its exact
equal-time variant and emergence of a relativistic wave equation is reviewed. A
computational framework, with initial applications and future challenges in
relation with precision spectroscopy, is also highlighted
Multiple bond breaking with APSG based correlation methods -- Comparison of two approaches
Antisymmetrized product of strongly orthogonal geminals (APSG) Ansatz is
a computationally economic wavefunction class with favourable
formal properties. These include extensivity, variational determination
of the wavefunction parameters or qualitatively correct description
of single bond dissociation. Breaking multiple bonds
or non-isolated single bonds results in fragments of incorrect
spin state when computed by APSG. This has been identified
as a potential problem in APSG based linearized coupled-cluster
approach (LCC). An alternative
correction scheme based on the extended
random phase approximation (ERPA) is investigated from
this point of view, in parallel with LCC.
The two methods are compared formally. Potential energy
curves and atomic spin by
APSG based LCC and ERPA are presented on illustrative
examples for multiple bond breaking. Origin of the
marked difference between the behaviour of LCC and ERPA
is explored