M. Stanke, A. Kędziorski, Ludwik Adamowicz, "Fine-structure of the beryllium 3P states calculated with all-electron explicitly correlated Gaussian functions." Phys. Rev. A.105 (2022), 012813 DOI: 10.1103/PhysRevA.105.012813
2021
M. Stanke, Palikot Ewa, Keeper L. Sharkey, Ludwik Adamowicz, "Benchmark calculations of the 2D Rydberg spectrum of lithium" Mol. Phys.119 (2021), 1-10 DOI: 10.1080/00268976.2021.1925765
M. Stanke, Palikot Ewa, Keeper L.Sharkey, Adamowicz Ludwik, "Benchmark calculations of the Rydberg spectrum of beryllium" Chem. Phys. Lett.779 (2021), 138823 DOI: 10.1016/j.cplett.2021.138823
2020
Ludwik Adamowicz, M. Stanke, Erik Tellgrend, Trygve Helgakerd, "A quantum-mechanical non-Born–Oppenheimer model of a molecule in a strong magnetic field" Chem. Phys. Lett.761 (2020), 138041 DOI: 10.1016/j.cplett.2020.138041
E. Palikot, M. Stanke, prof. dr Ludwik Adamowicz, "An algorithm for calculating the Bethe logarithm for small molecules with all-electron explicitly correlated Gaussian functions" Chem. Phys. Lett.757 (2020), 137859 DOI: 10.1016/j.cplett.2020.137859
A. Kędziorski, M. Stanke, prof. Ludwik Adamowicz, "Atomic fine-structure calculations performed with a finite-nuclear-mass approach and with all-electron explicitly correlated Gaussian functions." Chem. Phys. Lett.751 (2020), 137476-1-11 DOI: https://doi.org/10.1016/j.cplett.2020.137476
E. Palikot, M. Stanke, prof. dr Ludwik Adamowicz, "High-accuracy calculations of ro-vibrational spectrum of HeH- and its isotopologues." J. Phys. B: At. Mol. Phys. 53 (2020), 225101 DOI: 10.1088/1361-6455/abb126
2019
M. Stanke, Adamowicz Ludwik, " Finite-nuclear-mass calculations of the leading relativistic corrections for atomic D states with all-electron explicitly correlated Gaussian functions" Phys. Rev. A.100 (2019), 042503 -042503-10 DOI: 10.1103/PhysRevA.100.042503
Paulo H. R. Amaral, Leonardo G. Diniz, Keith A. Jones, M. Stanke, Alexander Alijah, Ludwik Adamowicz, José R. Mohallem, "Benchmark Rovibrational Linelists and Einstein A-coef fi cients for the Primordial Molecules and Isotopologues" Astrophys. J. 878 (2019), 1-14 DOI: 10.3847/1538-4357/ab1f65
M. Stanke, Sergiy Bubin, Adamowicz Ludwik, "Lowest ten $^1P$ Rydberg states of beryllium calculated with all-electron explicitly correlated gaussian functions." J. Phys. B: At. Mol. Phys. 52 (2019), 155002-1-155002-10 DOI: 10.1088/1361-6455/ab2510
Paulo R. Amaral, M. Stanke, Ludwik Adamowicz, Leonardo G. Diniz, Jos ́e R. Mohallem, Alexander Alijah, "Non-adiabatic effects in the H3+ spectrum" Phil. Trans. R. Soc. A 377 (2019), 1-15 DOI: 10.1098/rsta.2018.0411
Amir Bralin, Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "The $^2S$ Rydberg series of the lithium atom. Calculations with all-electron explicitly correlated Gaussian functions." Chem. Phys. Lett.730 (2019), 497-505 DOI: 10.1016/j.cplett.2019.06.051
2018
M. Stanke, Adamowicz Ludwik, " 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." Chem. Phys. Lett.172 (2018), 66-70 DOI: 10.1016/j.cplett.2018.09.060
Adamowicz Ludwik, M. Stanke, Erik Tellgren, Trygve Helgaker , "A computational quantum-mechanical model of a molcular magnetic trap " J. Chem. Phys.149 (2018), 244112-244112-11 DOI: 10.1063/1.5055767
M. Stanke, A. Bralin, S. Bubin, L. Adamowicz, "Leading relativistic corrections for atomic P states calculated with a finite-nuclear-mass approach and all-electron explicitly correlated Gaussian functions" Phys. Rev. A.97 (2018), 012513-012513-15 DOI: 10.1103/PhysRevA.97.012513
2017
M. Stanke, J. Jurkowski, L. Adamowicz, "Algorithms for calculating the leading quantum-electrodynamics P( 1/r^3) correction with all-electron molecular explicitly correlated Gaussians" J. Phys. B: At. Mol. Phys. 50 (2017), 065101 DOI: /10.1088/1361-6455/aa56ad
L. Adamowicz, M. Stanke, E. Tellgren, T. Helgaker, "Explicitly-correlated non-Born-Oppenheimer calculations of the HD molecule in a strong magnetic field" Chem. Phys. Lett.682 (2017), 87-90 DOI: 10.1016/j.cplett.2017.06.016
S. Bubin, M. Stanke, L. Adamowicz , "Relativistic corrections for non-Born-Oppenheimer molecular wave functions expanded in terms of complex explicitly correlated Gaussian functions." Phys. Rev. A.95 (2017), 062509 DOI: 10.1103/PhysRevA.95.062509
2016
M. Stanke, "Adiabatic, Born-Oppenheimer, and Non-adiabatic Approaches" in Jerzy Leszczynski (editor), Handbook of Computational Chemistry, Springer Netherlands, Jackson State University (2016), pp. 173-223 ISBN: 978-94-007-6169-8
M. Stanke, E. Palikot, L. Adamowicz, "Algorithms for calculating mass-velocity and Darwin relativistic corrections with n-electron explicitly-correlated Gaussians with shifted centers. " J. Chem. Phys.144 (2016), 174101 DOI: 10.1063/1.4947553
M. Stanke, E. Palikot, D. Kędziera, L. Adamowicz, "Orbit-orbit relativistic correction calculated with all-electron molecular explicitly correlated Gaussians" J. Chem. Phys.145 (2016), 174101 DOI: 10.1063/1.4971376
2014
S. Bubin, M. Stanke, L. Adamowicz, "Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of ditritium using all-particle explicitly correlated Gaussian functions" J. Chem. Phys.140 (2014), 154303 DOI: 10.1063/1.4870935
M. Stanke, Adamowicz Ludwik, "Charge asymmetry and relativistic corrections in pure vibrational states of the HD+ 2 ion" Phys. Rev. A. 89 (2014), 002500-002508 DOI: 10.1103/PhysRevA.89.032503
M. Stanke, L. Adamowicz, "Non-Born-Oppenheimer calculations of the pure vibrational spectrum of T_2 including relativistic corrections" J. Chem. Phys.141 (2014), 154302-154302-7 DOI: 10.1063/1.4897631
2013
M. Stanke, Adamowicz Ludwik, "Molecular Relativistic Corrections Determined in the Framework Where the Born–Oppenheimer Approximation is Not Assumed" J. Phys. Chem. A117 (2013), 10129-10137 DOI: 10.1021/jp4020492
M. Stanke, Ludwik Adamowicz, Dariusz Kędziera, "Selection of a Gaussian basis set for calculating the Bethe logarithm for the ground state of the hydrogen atom" Mol. Phys.111 (2013), 1063-1068 DOI: 10.1080/00268976.2012.762464
2011
Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "Accurate non-Born-Oppenheimer calculations of the complete pure vibrational spectrum of D-2 with including relativistic corrections" J. Chem. Phys.135 (2011), 074110-074115 DOI: 10.1063/1.3625955
Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "Complete pure vibrational spectrum of HD calculated without the Born-Oppenheimer approximation and including relativistic corrections" Phys. Rev. A.83 (2011), 042520-042525 DOI: 10.1103/PhysRevA.83.042520
Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "Vibrational transitions of the 7LiH+ ion calculated without the Born–Oppenheimer approximation and with leading relativistic corrections " J. Chem. Phys.134, 024103 (2011), 024103-024107 DOI: 10.1063/1.3525679
2010
Sergiy Bubin, M. Stanke, Marcin Molski, Ludwik Adamowicz, "Accurate non-Born–Oppenheimer calculations of the lowest vibrational energies of D2 and T2 with including relativistic corrections " Chem. Phys. Lett.494, Issues 1-3 (2010), 21-25 DOI: 10.1016/j.cplett.2010.05.081
Sergiy Bubin, Jacek Komasa, M. Stanke, Ludwik Adamowicz, "Isotope shifts of the 1s22s2(1S0) → 1s22p2(1S0) transition in the doubly ionized carbon ion C2+" Phys. Rev. A.A 81 (2010), 052504 -052511 DOI: 10.1103/PhysRevA.81.052504
Sergiy Bubin, Jacek Komasa, M. Stanke, Ludwik Adamowicz, "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 " J. Chem. Phys.132, 114109 (2010), 3358999 DOI: 10.1063/1.3358999
Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "Lower vibrational transitions of the 3He4He+ ion calculated without the Born–Oppenheimer approximation and with leading relativistic corrections " Chem. Phys. Lett.500, Issues 4-6 (2010), 229-231 DOI: 10.1016/j.cplett.2010.10.021
2009
Sergiy Bubin, Filip Leonarski, M. Stanke, Ludwik Adamowicz, "Charge asymmetry in pure vibrational states of the HD molecule" J. Chem. Phys.130 (2009), 124120-124126 DOI: 10.1063/1.3094047
M. Stanke, Jacek Komasa, Sergiy Bubin, Ludwik Adamowicz, "Five lowest 1S states of the Be atom calculated with a finite-nuclear-mass approach and with relativistic and QED corrections" Phys. Rev. A.80 (2009), 022514 DOI: 10.1103/PhysRevA.77.062509
M. Stanke, Sergiy Bubin, Ludwik Adamowicz, "Fundamental vibrational transitions of the 3He4He+ and 7LiH+ ions calculated without assuming the Born-Oppenheimer approximation and with leading relativistic corrections" Phys. Rev. A.79 (2009), 060501(R) DOI: 10.1103/PhysRevA.79.060501
Sergiy Bubin, Jacek Komasa, M. Stanke, Ludwik Adamowicz, "Isotope shift in the electron affinity of lithium" J. Chem. Phys.131 (2009), 234112-234117 DOI: 10.1063/1.3275804
Sergiy Bubin, Filip Leonarski, M. Stanke, Ludwik Adamowicz, "Non-adiabatic corrections to the energies of the pure vibrational states of H2" Chem. Phys. Lett.477 (2009), 12 DOI: 10.1016/j.cplett.2009.06.060
Sergiy Bubin, M. Stanke, Ludwik Adamowicz, "Non-Born-Oppenheimer calculations of the BH molecule" J. Chem. Phys.131 (2009), 044128 DOI: 10.1063/1.3195061
M. Stanke, Sergiy Bubin, Marcin Molski, Ludwik Adamowicz, "Non-Born-Oppenheimer calculations of the lowest vibrational energy of HD with including relativistic corrections" Phys. Rev. A.79 (2009), 032507 DOI: 10.1103/PhysRevA.76.052506
2008
M. Stanke, Jacek Komasa, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Accuracy limits on the description of the lowest S-excitation in the Li atom" Phys. Rev. A.78 (2008), 052507 DOI: 10.1103/PhysRevA.78.052507
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Complete alpha^2 relativistic corrections to the pure vibrational non-Born-Oppenheimer energies of HeH+" Phys. Rev. A.77 (2008), 022506 DOI: 10.1103/PhysRevA.77.022506
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Orbit-orbit relativistic corrections to the pure vibrational non-Born-Oppenheimer energies of H2" J. Chem. Phys.128 (2008), 114313 DOI: 10.1063/1.2834926
M. Stanke, Jacek Komasa, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Three lowest S-states of 9Be+ calculated with including nuclear motion and relativistic and QED corrections" Phys. Rev. A.77 (2008), 062509 DOI: 10.1103/PhysRevA.77.062509
2007
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Electron affinity of (7)Li calculated with the inclusion of nuclear motion and relativistic corrections" J. Chem. Phys.127 (2007), 134107 DOI: 10.1063/1.2755767
Sergiy Bubin, M. Stanke, Dariusz Kedziera, Ludwik Adamowicz, "Improved calculations of the lowest vibrational transitions in HeH+" Phys. Rev. A.76 (2007), 022512 DOI: 10.1103/PhysRevA.76.022512
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Ionization potential of ^9Be calculated including nuclear motion and relativistic corrections" Phys. Rev. A.75 (2007), 052510 DOI: 10.1103/PhysRevA.75.052510
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Ludwik Adamowicz, "Lowest excitation energy of ^9Be" Phys. Rev. Lett.99 (2007), 043001 DOI: 10.1103/PhysRevLett.99.043001
M. Stanke, Dariusz Kedziera, Sergiy Bubin, Marcin Molski, Ludwik Adamowicz, "Lowest vibrational states of ^4He ^3He+: Non-Born-Oppenheimer calculations" Phys. Rev. A.76 (2007), 052506 DOI: 10.1103/PhysRevA.76.052506
Sergiy Bubin, M. Stanke, Dariusz Kedziera, Ludwik Adamowicz, "Relativistic corrections to the ground state energy of the positronium molecule" Phys. Rev. A.75 (2007), 062504 DOI: 10.1103/PhysRevA.75.062504
M. Stanke, Dariusz Kedziera, Marcin Molski , Sergiy Bubin, Maria Barysz, Ludwik Adamowicz, "Relativistic corrections to the non-Born-Oppenheimer energies of the lowest singlet Rydberg states of (3)He and (4)He" J. Chem. Phys.126 (19) (2007), 194312 DOI: 10.1063/1.2735305
2006
M. Stanke, Dariusz Kedziera, Marcin Molski, Sergiy Bubin, Maria Barysz, Ludwik Adamowicz, "Convergence of experiment and theory on the pure vibrational spectrum of HeH+" Phys. Rev. Lett.96 (2006), 233022 DOI: 10.1103/PhysRevLett.96.233002
Dariusz Kedziera, M. Stanke, Sergiy Bubin, Maria Barysz, Ludwik Adamowicz, "Darwin and mass-velocity relativistic corrections in the non-Born-Oppenheimer calculations of pure vibrational states of H_2" J. Chem. Phys.125 (2006), 014318 DOI: 10.1063/1.2236113
M. Stanke, J. Karwowski, Hiroshi Tatewaki, "Kinetically Balanced Dirac Equation: Properties and applications" Mol. Phys.104 (2006), 2085-2092
M. Stanke, J. Karwowski, "Non-standard Representations of the Dirac Equation and the Variational Method" in J.-P. Julien, J. Maruani, D. Mayou, S. Wilson, G. Delgado-Barrio (editor), Progress in Theoretical Chemistry and Physics: Recent Advances in the Theory of Chemical and Physical Systems, Springer, Dordrecht (2006), pp. 217-228 ISBN: 978-1-4020-4527--1
J. Karwowski, G. Pestka, M. Stanke, F. E. Harris, "Representation of the Dirac equation and the variational principle" Int. J. Quantum Chem.106 (2006), 3129-3139
2005
J. Karwowski, M. Stanke, "Unexpected properties of a density functional" Phys. Rev. A.71 (2005), 024501-1-024501-4
2004
J. Karwowski, M. Stanke, "A note on non-linear parameters in variational methods" Struct. Chem.15 (2004), 427-429
2001
M. Stanke, J. Karwowski, "Variational Princisple in the Dirac Theory: Spurious Slutions, Unexpected Extrema and other Traps" in J. Maruani, C. Minot, R. McWeeny, Y. G. Smeyers, S. Wilson (editor), New Trends in Quantum Systems in Chemistry and Physics: vol. 1 - Basic Problems and Model Systems, Kluwer Academic Publishers, Dordrecht (2001), pp. 175-190 ISBN: 978-0-7923-6708-6
2000
J. Karwowski, G. Pestka, M. Stanke, "Variational Principle in the Dirac Theory: Theorems, Examples and Counterexamples" in A. Hernández-Laguna, J. Maruani, R. McWeeny, S. Wilson (editor), Quantum Systems in Chemistry and Physics, vol. 1: Basic Problems and Model Systems, Kluwer Academic Publishers, London (2000), pp. 177-193 ISBN: 978-0-7923-5969-2