# Resolving all-order method convergence problems for atomic physics applications

@article{Gharibnejad2011ResolvingAM, title={Resolving all-order method convergence problems for atomic physics applications}, author={H. Gharibnejad and Ephraim Eliav and Marianna S. Safronova and Andrei Derevianko}, journal={Physical Review A}, year={2011}, volume={83}, pages={052502} }

The development of the relativistic all-order method where all single, double, and partial triple excitations of the Dirac-Hartree-Fock wave function are included to all orders of perturbation theory led to many important results for the study of fundamental symmetries, development of atomic clocks, ultracold atom physics, and others, as well as provided recommended values of many atomic properties critically evaluated for their accuracy for a large number of monovalent systems. This approach…

## 5 Citations

Blackbody radiation shifts in optical atomic clocks

- PhysicsIEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
- 2012

Calculations of the BBR shifts in B+, Al+, and In+ have enabled us to reduce the present fractional uncertainties in the frequencies of their clock transitions as measured at room temperature: to 4 × 10-19 for Al+ and 10-18 for B+ and In+.

Lifetimes, level energies and light shifts in a single trapped Ba+ Ion

- Physics
- 2016

A precise measurement of Atomic Parity Violation (APV) in atomic systems aims at the determination of electroweak mixing Weinberg angle (sin$^{2}theta_{W}$) at low momentum transfer. The precision to…

Ra+ ion trapping: toward an atomic parity violation measurement and an optical clock

- Physics
- 2014

A single Ra+ ion stored in a Paul radio frequency ion trap has excellent potential for a precision measurement of the electroweak mixing angle at low momentum transfer and as the most stable optical…

Polarizability assessments of ion-based optical clocks

- PhysicsPhysical Review A
- 2019

It is shown that the dynamic differential scalar polarisability of the $S_{1/2}-D_{5/2}$ transition in $^{138}$Ba$^+$ can be determined to an inaccuracy below $0.5\%$ across a wide wavelength range…

Single ion spectroscopy in preparation of an atomic parity violation measurement in Ra

- Art
- 2015

Precisiemetingen van atomaire pariteitsviolatie (APV) vormen een stringente test van het Standaardmodel voor deeltjesfysica. De bepaling van de Weinberghoek (sin^2θ_W), bij lage energieen in het…

## References

SHOWING 1-10 OF 94 REFERENCES

Application of the dual-kinetic-balance sets in the relativistic many-body problem of atomic structure

- PhysicsComput. Phys. Commun.
- 2008

Relativistic all-order calculations of energies and matrix elements in cesium.

- Physics, ChemistryPhysical review. A, Atomic, molecular, and optical physics
- 1991

All-order methods recently developed for high-accuracy calculation of energies and matrix elements in Li are extended and applied to cesium. We employ a relativistic, linearized, coupled-cluster…

Fourth-order perturbative extension of the single-double excitation coupled-cluster method

- Chemistry
- 2002

Fourth-order many-body corrections to matrix elements for atoms with one valence electron are derived. The obtained diagrams are classified using coupled-cluster-inspired separation into…

On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods

- Physics, Chemistry
- 1966

A method is suggested for the calculation of the matrix elements of the logarithm of an operator which gives the exact wavefunction when operating on the wavefunction in the one‐electron…

Relativistic all-order equations for helium.

- PhysicsPhysical review. A, General physics
- 1989

The ground-state energy of helium is calculated to all orders in perturbation theory starting from a relativistic ''no-pair'' many-body Hamiltonian in which contributions of virtual electron-positron…

Extrapolated intermediate Hamiltonian coupled-cluster approach: theory and pilot application to electron affinities of alkali atoms.

- PhysicsThe Journal of chemical physics
- 2005

The extrapolated intermediate Hamiltonian (XIH) approach proposed here uses a parametrized IH and extrapolates it to the full EH, with model spaces larger by several orders of magnitude than those possible in EH coupled-cluster methods.

Development of a configuration-interaction plus all-order method for atomic calculations

- Physics
- 2009

We develop a theoretical method within the framework of relativistic many-body theory to accurately treat correlation corrections in atoms with few valence electrons. This method combines the…

Magic wavelengths for the np-ns transitions in alkali-metal atoms

- Physics
- 2007

Extensive calculations of the electric-dipole matrix elements in alkali-metal atoms are conducted using the relativistic all-order method. This approach is a linearized version of the coupled-cluster…

Calculation of parity-nonconserving amplitude and other properties of Ra +

- Physics
- 2009

We have calculated parity nonconserving 7s - 6d_{3/2} amplitude E_PNC in 223Ra+ using high-precision relativistic all-order method where all single and double excitations of the Dirac-Fock wave…