List of works - Monika Stanke

A Note on Nonlinear Parameters in Variational Methods

scientific article published in October 2004

A computational quantum-mechanical model of a molecular magnetic trap

scientific article published on 01 December 2018

A quantum-mechanical non-Born–Oppenheimer model of a molecule in a strong magnetic field

Accuracy limits on the description of the lowestSexcitation in the Li atom using explicitly correlated Gaussian basis functions

scientific article published on 14 November 2008

Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of D2 with including relativistic corrections

scientific article published on 01 August 2011

Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of ditritium using all-particle explicitly correlated Gaussian functions

scientific article published on 21 April 2014

Accurate non-Born–Oppenheimer calculations of the lowest vibrational energies of D 2 and T 2 with including relativistic corrections

scientific article published in July 2010

Algorithms for calculating mass-velocity and Darwin relativistic corrections with n-electron explicitly correlated Gaussians with shifted centers.

scientific article published in May 2016

Algorithms for calculating the leading quantum electrodynamics P(1/r 3) correction with all-electron molecular explicitly correlated Gaussians

scientific article published on 22 February 2017

An algorithm for calculating the Bethe logarithm for small molecules with all-electron explicitly correlated Gaussian functions

scientific article

Atomic fine-structure calculations performed with a finite-nuclear-mass approach and with all-electron explicitly correlated Gaussian functions

scientific article

Benchmark calculations of ro-vibrational spectrum of HeH − and its isotopologues

scientific article

Benchmark calculations of the 1 D Rydberg spectrum of beryllium

scientific article published in September 2021

Benchmark calculations of the 2 D Rydberg spectrum of lithium

Benchmark calculations of the <sup>3</sup><i>D</i> Rydberg spectrum of beryllium

scientific article published in 2022

Charge asymmetry and relativistic corrections in pure vibrational states of theHD+ion

scientific article published on 7 March 2014

Charge asymmetry in pure vibrational states of the HD molecule

scientific article published on 01 March 2009

Complete pure vibrational spectrum of HD calculated without the Born-Oppenheimer approximation and including relativistic corrections

scientific article published on 29 April 2011

Completeα2relativistic corrections to the pure vibrational non-Born-Oppenheimer energies ofHeH+

scientific article published on 25 February 2008

Convergence of experiment and theory on the pure vibrational spectrum of HeH(+)

scientific article published on 14 June 2006

Darwin and mass-velocity relativistic corrections in non-Born-Oppenheimer variational calculations

scientific article published on 01 August 2006

Darwin and mass-velocity relativistic corrections in the non-Born-Oppenheimer calculations of pure vibrational states of H2

scientific article published on 01 July 2006

Electron affinity of (7)Li calculated with the inclusion of nuclear motion and relativistic corrections

scientific article published on 01 October 2007

Explicitly-correlated non-born-oppenheimer calculations of the HD molecule in a strong magnetic field

scientific article published in August 2017

Fine structure of the beryllium P 3 states calculated with all-electron explicitly correlated Gaussian functions

Finite-nuclear-mass calculations of the leading relativistic corrections for atomic D states with all-electron explicitly correlated Gaussian functions

scientific article

Five lowestS1states of the Be atom calculated with a finite-nuclear-mass approach and with relativistic and QED corrections

scientific article published on 25 August 2009

Improved calculations of the lowest vibrational transitions inHeH+

scientific article published on 30 August 2007

Ionization potential ofBe9calculated including nuclear motion and relativistic corrections

scientific article published on 31 May 2007

Isotope shift in the electron affinity of lithium

scientific article published on 01 December 2009

Isotope shifts of the three lowest 1S states of the B+ ion calculated with a finite-nuclear-mass approach and with relativistic and quantum electrodynamics corrections

scientific article published on 01 March 2010

Isotope shifts of the1s22s2(1S0)→1s22p2(1S0) transition in the doubly ionized carbon ionC2+

scientific article published on 14 May 2010

Kinetically balanced Dirac equation: properties and applications

scientific article published on 10 July 2006

Leading relativistic corrections for atomicPstates calculated with a finite-nuclear-mass approach and all-electron explicitly correlated Gaussian functions

scientific article published on 25 January 2018

Lower vibrational transitions of the 3He4He+ ion calculated without the Born–Oppenheimer approximation and with leading relativistic corrections

scientific article published in November 2010

Lowest excitation energy of 9Be

scientific article published on 24 July 2007

Lowest ten 1 P Rydberg states of beryllium calculated with all-electron explicitly correlated Gaussian functions

scientific article

Lowest vibrational states ofHe4He+3: Non-Born-Oppenheimer calculations

scientific article published on 14 November 2007

Magnetic orbit-orbit interaction involving electrons and the nucleus orbiting around the center of mass in 1S and 1P Rydberg states of helium. Finite-nuclear-mass calculations with explicitly correlated Gaussian functions

scientific article published in November 2018

Molecular relativistic corrections determined in the framework where the Born-Oppenheimer approximation is not assumed.

scientific article published on 31 May 2013

NON-STANDARD REPRESENTATIONS OF THE DIRAC EQUATION AND THE VARIATIONAL METHOD

Non-Born-Oppenheimer calculations of the BH molecule

scientific article published on 01 July 2009

Non-Born-Oppenheimer calculations of the lowest vibrational energy of HD including relativistic corrections

scientific article published on 16 March 2009

Non-Born-Oppenheimer calculations of the pure vibrational spectrum of T₂ including relativistic corrections

scientific article published on 01 October 2014

Non-adiabatic corrections to the energies of the pure vibrational states of H2

scientific article published in July 2009

Non-adiabatic effects in the H3+ spectrum

scientific article published on 05 August 2019

Orbit-orbit relativistic correction calculated with all-electron molecular explicitly correlated Gaussians

scientific article published in December 2016

Orbit-orbit relativistic corrections to the pure vibrational non-Born-Oppenheimer energies of H(2).

scientific article published in March 2008

Oscillator strengths and interstate transition energies involving 2 S and 2 P states of the Li atom

Relativistic corrections for non-Born-Oppenheimer molecular wave functions expanded in terms of complex explicitly correlated Gaussian functions

scientific article published on 26 June 2017

Relativistic corrections to the ground-state energy of the positronium molecule

scientific article published on 11 June 2007

Relativistic corrections to the non-Born-Oppenheimer energies of the lowest singlet Rydberg states of 3He and 4He

scientific article published on 01 May 2007

Representation of the Dirac equation and the variational principle

scientific article published in 2006

Selection of a Gaussian basis set for calculating the Bethe logarithm for the ground state of the hydrogen atom

scientific article published on 8 February 2013

The 2S Rydberg series of the lithium atom. Calculations with all-electron explicitly correlated Gaussian functions

scientific article

Three lowestSstates ofB9e+calculated with including nuclear motion and relativistic and QED corrections

scientific article published on 12 June 2008

Unexpected properties of a density functional

scientific article published on 10 February 2005

Vibrational transitions of the 7LiH+ ion calculated without the Born-Oppenheimer approximation and with leading relativistic corrections

scientific article published on 01 January 2011

List of works by Monika Stanke

A Note on Nonlinear Parameters in Variational Methods

A computational quantum-mechanical model of a molecular magnetic trap

A quantum-mechanical non-Born–Oppenheimer model of a molecule in a strong magnetic field

Accuracy limits on the description of the lowestSexcitation in the Li atom using explicitly correlated Gaussian basis functions

Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of D2 with including relativistic corrections

Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of ditritium using all-particle explicitly correlated Gaussian functions

Accurate non-Born–Oppenheimer calculations of the lowest vibrational energies of D 2 and T 2 with including relativistic corrections

Algorithms for calculating mass-velocity and Darwin relativistic corrections with n-electron explicitly correlated Gaussians with shifted centers.

Algorithms for calculating the leading quantum electrodynamics P(1/r 3) correction with all-electron molecular explicitly correlated Gaussians

An algorithm for calculating the Bethe logarithm for small molecules with all-electron explicitly correlated Gaussian functions

Atomic fine-structure calculations performed with a finite-nuclear-mass approach and with all-electron explicitly correlated Gaussian functions

Benchmark calculations of ro-vibrational spectrum of HeH − and its isotopologues

Benchmark calculations of the 1 D Rydberg spectrum of beryllium

Benchmark calculations of the 2 D Rydberg spectrum of lithium

Benchmark calculations of the <sup>3</sup><i>D</i> Rydberg spectrum of beryllium

Charge asymmetry and relativistic corrections in pure vibrational states of theHD+ion

Charge asymmetry in pure vibrational states of the HD molecule

Complete pure vibrational spectrum of HD calculated without the Born-Oppenheimer approximation and including relativistic corrections

Completeα2relativistic corrections to the pure vibrational non-Born-Oppenheimer energies ofHeH+

Convergence of experiment and theory on the pure vibrational spectrum of HeH(+)

Darwin and mass-velocity relativistic corrections in non-Born-Oppenheimer variational calculations

Darwin and mass-velocity relativistic corrections in the non-Born-Oppenheimer calculations of pure vibrational states of H2

Electron affinity of (7)Li calculated with the inclusion of nuclear motion and relativistic corrections

Explicitly-correlated non-born-oppenheimer calculations of the HD molecule in a strong magnetic field

Fine structure of the beryllium P 3 states calculated with all-electron explicitly correlated Gaussian functions

Finite-nuclear-mass calculations of the leading relativistic corrections for atomic D states with all-electron explicitly correlated Gaussian functions

Five lowestS1states of the Be atom calculated with a finite-nuclear-mass approach and with relativistic and QED corrections

Improved calculations of the lowest vibrational transitions inHeH+

Ionization potential ofBe9calculated including nuclear motion and relativistic corrections

Isotope shift in the electron affinity of lithium

Isotope shifts of the three lowest 1S states of the B+ ion calculated with a finite-nuclear-mass approach and with relativistic and quantum electrodynamics corrections

Isotope shifts of the1s22s2(1S0)→1s22p2(1S0) transition in the doubly ionized carbon ionC2+

Kinetically balanced Dirac equation: properties and applications

Leading relativistic corrections for atomicPstates calculated with a finite-nuclear-mass approach and all-electron explicitly correlated Gaussian functions

Lower vibrational transitions of the 3He4He+ ion calculated without the Born–Oppenheimer approximation and with leading relativistic corrections

Lowest excitation energy of 9Be

Lowest ten 1 P Rydberg states of beryllium calculated with all-electron explicitly correlated Gaussian functions

Lowest vibrational states ofHe4He+3: Non-Born-Oppenheimer calculations

Magnetic orbit-orbit interaction involving electrons and the nucleus orbiting around the center of mass in 1S and 1P Rydberg states of helium. Finite-nuclear-mass calculations with explicitly correlated Gaussian functions

Molecular relativistic corrections determined in the framework where the Born-Oppenheimer approximation is not assumed.

NON-STANDARD REPRESENTATIONS OF THE DIRAC EQUATION AND THE VARIATIONAL METHOD

Non-Born-Oppenheimer calculations of the BH molecule

Non-Born-Oppenheimer calculations of the lowest vibrational energy of HD including relativistic corrections

Non-Born-Oppenheimer calculations of the pure vibrational spectrum of T₂ including relativistic corrections

Non-adiabatic corrections to the energies of the pure vibrational states of H2

Non-adiabatic effects in the H3+ spectrum

Orbit-orbit relativistic correction calculated with all-electron molecular explicitly correlated Gaussians

Orbit-orbit relativistic corrections to the pure vibrational non-Born-Oppenheimer energies of H(2).

Oscillator strengths and interstate transition energies involving 2 S and 2 P states of the Li atom

Relativistic corrections for non-Born-Oppenheimer molecular wave functions expanded in terms of complex explicitly correlated Gaussian functions

Relativistic corrections to the ground-state energy of the positronium molecule

Relativistic corrections to the non-Born-Oppenheimer energies of the lowest singlet Rydberg states of 3He and 4He

Representation of the Dirac equation and the variational principle

Selection of a Gaussian basis set for calculating the Bethe logarithm for the ground state of the hydrogen atom

The 2S Rydberg series of the lithium atom. Calculations with all-electron explicitly correlated Gaussian functions

Three lowestSstates ofB9e+calculated with including nuclear motion and relativistic and QED corrections

Unexpected properties of a density functional

Vibrational transitions of the 7LiH+ ion calculated without the Born-Oppenheimer approximation and with leading relativistic corrections