Publikacje
2018
- G. Pestka, Łukasz Syrocki,
"Simplified Dirac-Coulomb equations"
Acta Phys. Pol. B 49 (2018), 1899-1916
DOI: 10.5506/APhysPolB.49.1899
2016
- Ł. Syrocki, G. Pestka,
"Implementation of algebraic procedures on the GPU using CUDA architecture on the example of generalized eigenvalue problem"
Open Comput. Sci. 6 (2016), 79-90
DOI: 10.1515/comp-2016-0006 - Ł. Syrocki, E. Szymańska, K. Słabkowska, M. Polasik, G. Pestka,
"Modelling of the soft X-ray tungsten spectra expected to be registered by GEM detection system for WEST "
Nukleonika 61 (2016), 433-436
DOI: 10.1515/nuka-2016-0071
2015
- K. Słabkowska, Ł. Syrocki, E. Szymańska, J. Rzadkiewicz, G. Pestka, M. Polasik,
"Modeling of the K and L x-ray line structures for molybdenum ions in warm dense Z-pinch plasma"
HIGH ENERG DENS PHYS 14 (2015), 44-46
DOI: 10.1016/j.hedp.2015.03.001
2012
- G. Pestka, M. Bylicki, J. Karwowski,
"Geminals in Dirac–Coulomb Hamiltonian eigenvalue problem"
J. Math. Chem. 50 (2012), 510-533
DOI: 10.1007/s10910-011-9823-6
2009
- J. Karwowski, G. Pestka,
"Energy-dependent scaling of the Dirac equation"
Int. J. Quantum Chem. 109 (2009), 2903-2908 - G. Pestka,
"Metoda wariacyjna w modelu Diraca", Wydawnictwo Naukowe UMK, Toruń (2009)
ISBN: 978-83-231-2361-3
2008
- G. Pestka, M. Bylicki, J. Karwowski,
"Dirac-Coulomb Equation: Playing with Artifacts"
in S. Wilson, P.J. Grout, J. Maruani, G. Delgado-Barrio, P. Piecuch (editor), Progress in Theoretical Chemistry and Physics: Frontiers in Quantum Systems in Chemistry and Physics, Springer Science, New York (2008), pp. 215-238
ISBN: 978-1-4020-8706-6 - M. Bylicki, G. Pestka, J. Karwowski,
"Relativistic Hylleraas configuration-interaction method projected into positive-energy space"
Phys. Rev. A. 77 (2008), 044501 - G. Pestka,
"Two particle Schroedinger equation in r1, r2, r12 variables"
J. Phys. A 41 (2008), 235202-1-235202-13
DOI: 10.1088/1751-8113/41/23/235202 - G. Pestka, J. Karwowski,
"Two-electron one-center integrals in relativistic Hylleraas-CI method"
in T. Ozdogan, M. B. Ruiz (editor), Recent Advances in Computational Chemistry: Molecular Integrals over Slater Orbitals, Transworld Research Network, Trivandrum, Kerala, India (2008), pp. 213-232
ISBN: 978-81-7895-370-0
2007
- G. Pestka, M. Bylicki, J. Karwowski,
"Complex-coordinate rotation and relativistic Hylleraas-CI: Helium isoelectronic series"
J. Phys. B: At. Mol. Phys. 40 (2007), 2249-2259 - J. Karwowski, G. Pestka,
"Harmonic oscillators in relativistic quantum mechanics"
Theor. Chem. Acc. 118 (2007), 519-525
2006
- G. Pestka, M. Bylicki, J. Karwowski,
"Application of the complex-coordinate rotation to the relativistic Hylleraas-CI method: a case study"
J. Phys. B: At. Mol. Phys. 39 (2006), 2979-2987 - 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
2004
- G. Pestka, H. Tatewaki, J. Karwowski,
"Relativistic correlation energies of Helium-like atoms"
Phys. Rev. A. 70 (2004), 024501-1-024501-3
2003
- G. Pestka, J. Karwowski,
"Dirac-Coulomb Hamiltonian in N-Electron Model Spaces"
Collect. Czech. Chem. Commun. 68 (2003), 275-294 - G. Pestka, J. Karwowski,
"Hylleraas-CI Approach to Dirac-Coulomb Equation"
in J. Rychlewski (editor), Explicitly Correlated Wave Functions in Chemistry and Physics, Kluwer Academic Publishers, Dordrecht (2003), pp. 331-346
ISBN: 978-1-4020-1674-5
2001
- G. Pestka, J. Karwowski,
"Structure of Dirac-Coulomb-Breit Hamiltonian"
in T. Lulek, B. Lulek, A. Wal (editor), Symmetry and Structural Properties of Condensed Matter, World Scientific, Singapore (2001), pp. 111-115
ISBN: 981-02-4569-6 - J. Karwowski, G. Pestka,
"Symmetric Group Approach to the Many-Electron Problem"
in T. Lulek, B. Lulek, A. Wal (editor), Symmetry and Structural Properties of Condensed Matter, World Scientific, Singapore (2001), pp. 49-60
ISBN: 978-981-02-4569-6
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