Publikacje
2023
- prof. dr Andreas Savin, J. Karwowski,
"Correcting Models with Long-Range Electron Interaction Using Generalized Cusp Conditions"
J. Phys. Chem. A 127 (5) (2023), 1377-1385
DOI: https://doi.org/10.1021/acs.jpca.2c08426 - J. Karwowski, Andreas Savin,
"Erfonium: A Hooke Atom with Soft Interaction Potential"
in Ireneusz Grabowski, Karolina Slowik, Erkki J. Brändas, Jean Maruani (editor), Recent Progress in Methods and Applications of Quantum Systems, Springer Nature, 6330 Cham, Switzerland (2023), pp. 35-50
ISBN: 9783031520778 - prof. dr Andreas Savin, J. Karwowski,
"Second-order adiabatic connection. The theory and application to two electrons in a parabolic confinement"
J. Chem. Phys. 159 (2023), 134107-1-134107-7
DOI: 10.1063/5.0167851
2022
- S. Dembiński, J. Karwowski, J. Szudy, prof. dr Trygve Helgaker,
"Foreword"
Mol. Phys. 120 (19-20) (2022), e2144060-1-e2144060-2
DOI: 10.1080/00268976.2022.2144060 - S. Dembiński, J. Karwowski, J. Szudy, prof. dr Trygve Helgaker,
"Lutosław Wolniewicz (1930 -- 2020)"
Mol. Phys. 120 (19-20) (2022), e2024904-1-e2024904-8
DOI: 10.1080/00268976.2021.2024904 - J. Karwowski, prof. dr Andreas Savin,
"Two-particle coalescence conditions revisited "
Mol. Phys. 120 (19-20) (2022), e2069055-1-e206905512
DOI: 10.1080/00268976.2021.2069055
2021
- J. Karwowski, Henryk A. Witek,
"The Schroedinger Equation with Power Potentials: Exactly-Solvable Problems"
in Alexander V. Glushkov, Olga Yu. Khetselius, Jean Maruani, Erkki Brändas (editor), Progress in Theoretical Chemistry and Physics, Vol. 33: Advances in Methods and Applications of Quantum Systems in Chemistry, Physics, and Biology, Springer International Publishing, Cham, Switzerland (2021), pp. 84-96
ISBN: 978-3-030-68314-6;
2020
- J. Karwowski, Artur Ishkhanyan, Andrzej Poszwa,
"The eigenvalue problem of one-dimensionsl Dirac operator"
Theor. Chem. Acc. 139 (2020), 178-1-178-9
DOI: 10.1007/s00214-020-02685-x
2019
- Jonathan Jerke, J. Karwowski, Bill Poirier,
"Exact Matrix Elements for Arbitrary Two-body Central-Force Interactions, Expressed as Sums of Products"
Mol. Phys. 117 (2019), 1264-1275
DOI: 10.1080/00268976.2018.1538541 - Artur M. Ishkhanyan, J. Karwowski,
"The second Exton potential for the Schroedinger equation"
Mod. Phys. Lett. A 34 (2019), 1950195-1-1950195-15
DOI: 10.1142/S0217732319501955
2018
- J. Karwowski,
"Three-Particle Non-Born-Oppenheimer Systems"
in Ramon Carbó-Dorca, Tanmoy Chakraborty (editor), Theoretical and Quantum Chemistry at the Dawn of the 21-st Century, Apple Academic Press;, Oakville, Canada; Waretown, USA (2018), pp. 503-518
ISBN: ISBN-13: 978-1771886
2017
- J. Karwowski,
"Dirac Operator and its Properties"
in Wenjian Liu (editor), Handbook of Relativistic Quantum Chemistry, Springer-Verlag, Berin, Heidelberg (2017), pp. 3-49
ISBN: ISBN-13: 978-3642407 - J. Karwowski,
"Several Remarks on Exact Solutions of One-Particle Equations"
Nuclear Theory 36 (2017), 45-54
DOI: ISSN 1313-2822 - J. Karwowski,
"The Dirac operator in chemistry and physics"
in A. Tadjer, R. Pavlov, J. Maruani, E. J. Brandas, G. Delgado-Barrio (editor), Progress in Theoretical Chemistry and Physics: Quantum Systems in Physics, Chemistry, and Biology: Advances in Concepts and Applications, Springer International Publishing AG, Cham, Switzerland (2017), pp. 361-374
ISBN: ISNB-10: 3319502549;
2016
- J. Karwowski, H. A. Witek,
"Analytical solutions of the Schrödinger equation with power potentials"
J. Chin. Chem. Soc. 63 (2016), 101-108
DOI: 10.1002/jccs.201400540 - J. Karwowski, Henryk A. Witek,
"Schroedinger equations with power potentials"
Mol. Phys. 114 (2016), 932-940
DOI: 10.1080/00268976.2015.1115565 - C. E. Gonzales-Espinoza, P. W. Ayers, J. Karwowski, A. Savin,
"Smooth models for the Coulomb potential"
Theor. Chem. Acc. 135 (2016), 256-256+12
DOI: 10.1007/s00214-016-2007-5
2014
- J. Karwowski, Henryk A. Witek,
"Biconfluent Heun equation in quantum chemistry. Harmonium and related systems"
Theor. Chem. Acc. 133 (2014), 1494-1-1494-11
DOI: 10.1007/s00214-014-1494-5
2013
- J. Karwowski,
"Density Functional Theory and Multicomponent Wavefunction "
Int. J. Quantum Chem. 113 (2013), 667-672
DOI: DOI: 10.1002/qua.24037 - J. Karwowski,
"Some remarks on the mass density distribution"
Croat. Chem. Acta 86 (2013), 531-539
DOI: 10.5562/cca2312
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
2010
- J. Karwowski, K. Szewc,
"Separable N-particle Hookean models"
J. Phys. Conf. Ser. 213 (2010), 012016
2009
- J. Karwowski, G. Pestka,
"Energy-dependent scaling of the Dirac equation"
Int. J. Quantum Chem. 109 (2009), 2903-2908 - J. Karwowski,
"Inverse problems in quantum chemistry"
Int. J. Quantum Chem. 109 (2009), 2456-2463
2008
- J. Karwowski,
"A separable model of N interacting particles"
Int. J. Quantum Chem. 108 (2008), 2253-2260 - 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 - J. Karwowski,
"Few-particle systems: Quasi-exactly-solvable models"
J. Phys. Conf. Ser. 104 (2008), 012033-1-012033-9 - J. Karwowski, mgr Kamil Szewc,
"Quasi-exactly solvable models in quantum chemistry"
Collect. Czech. Chem. Commun. 73 (2008), 1372-1390 - M. Bylicki, G. Pestka, J. Karwowski,
"Relativistic Hylleraas configuration-interaction method projected into positive-energy space"
Phys. Rev. A. 77 (2008), 044501 - 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 - M. Bylicki, A. Stachów, J. Karwowski, P. K. Mukherjee,
"The resonance levels of the Yukawa potential"
Chem. Phys. Lett. 331 (2007), 346-350
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 - 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 - R. C. King, M. Bylicki, J. Karwowski,
"Symmetry, Spectroscopy and SCHUR", Nicolaus Copernicus University Press, Toruń (2006)
ISBN: 83-231-1901-5 - J. Karwowski,
"The Polish Odyssey of Brian G. Wybourne"
in R. C. King, M. Bylicki, J. Karwowski (editor), Symmetry, Spectroscopy and SCHUR, Nicolaus Copernicus University Press, Toruń (2006), pp. 15-24
ISBN: 83-231-1901-5
2005
- J. Karwowski, L. Cyrnek,
"A class of exactly-solvable Schroedinger equations"
Collect. Czech. Chem. Commun. 70 (2005), 864-880 - J. Karwowski,
"Influence of Confinement on the Properties of Quantum Systems"
J. Mol. Struct. 727 (2005), 1-7 - B. Saha, P.K. Mukherjee, D. Bielińska-Wąż, J. Karwowski,
"Spherically Confined Two-electron Atoms Immersed in Debye Plasma"
J. Quant. Spectrosc. Radiat. T 92 (2005), 1-8 - 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 - J. Karwowski, L. Cyrnek,
"Harmonium"
Ann. Phys. 13 (2004), 181-193 - J. Karwowski,
"Operator averages in finite-dimensional N-electron model spaces: A diagrammatic approach"
Mol. Phys. 102 (2004), 1213-1220 - G. Pestka, H. Tatewaki, J. Karwowski,
"Relativistic correlation energies of Helium-like atoms"
Phys. Rev. A. 70 (2004), 024501-1-024501-3 - D. Bielińska-Wąż, J. Karwowski, B. Saha, P.K. Mukherjee,
"Reletivistic Effects in Hydrogenlike Atoms Embedded in Debye Plasmas"
Phys. Rev. E. 69 (2004), 016404-1-016404-6
2003
- J. Karwowski, prof. dr Isaiah Shavitt,
"Configuration Interaction"
in S. Wilson, P. F. Bernath, R. McWeeny (editor), Handbook of Molecular Physics and Quantum Chemistry, John Wiley & Sons, Chichester (2003), pp. 227-271
ISBN: 0471-62374-1, 978-0 - G. Pestka, J. Karwowski,
"Dirac-Coulomb Hamiltonian in N-Electron Model Spaces"
Collect. Czech. Chem. Commun. 68 (2003), 275-294 - J. Karwowski,
"Harmonic Oscillators revisited: Relativistic Formulations, Confined Particles, and Several Other Aspects"
in T. Lulek, B. Lulek, A. Wal (editor), Symmetry and Structural Properties of Condensed Matter, World Scientific, Singapore (2003), pp. 352-365
ISBN: 978-981-238-272-6 - 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 - B. Saha , P. K. Mukherjee, J. Karwowski,
"Spectra of Foreign Atoms in Liquid Helium: Current Theoretical Understanding "
in J. Maruani, R. Lefebvre, E. J. Braendas (editor), Advanced Topics in Theoretical Chemical Physics, Kluwer Academic Publishers, Dordrecht (2003), pp. 393-408
ISBN: 1-4020-1564-X, 978- - J. Karwowski,
"Spectral Density Distribution Moments"
in S. Wilson, P. F. Bernath, R. McWeeny (editor), Handbook of Molecular Physics and Quantum Chemistry, John Wiley & Sons, Chichester (2003), pp. 461-473
ISBN: 0471-62374-1, 978- - B. Saha, P.K. Mukherjee, D. Bielińska-Wąż, J. Karwowski,
"Time Dependent Perturbation Calculations for Transition Properties of Two-electron Atoms under Debye Plasma"
J. Quant. Spectrosc. Radiat. T 78 (2003), 131-137 - J. Karwowski, L. Cyrnek,
"Two interacting particles in a parabolic well: Harmonium and related systems"
CMST 9 (2003), 67-78
2002
- P. K. Mukherjee, J. Karwowski, G. H. F. Diercksen,
"On the Influence of the Debye Screening on the Spectra of Two-Electron Atoms"
Chem. Phys. Lett. 363 (2002), 323-327 - J. Karwowski, N. Flocke,
"Relations between Pariser-Parr-Pople and Heisenberg models"
Int. J. Quantum Chem. 90 (2002), 1091-1098 - N. Flocke, J. Karwowski,
"Symmetric Group Approach to the Theory of Heisenberg Lattices"
in David L. Cooper (editor), Valence Bond Theory, Elsevier, Amsterdam (2002), pp. 603-634
ISBN: 0-444-50889-9, 978
2001
- M. Barysz, N. Flocke, J. Karwowski,
"A comparison of different approximate relativistic theories of many-electron systems: A case study of the ionization energies of two-electron ions"
Acta Phys. Pol. A 99 (2001), 631-641 - E. Besalu, R. Carbó-Dorca, J. Karwowski,
"Generalized One-Electron Spin Functions and Self-Similarity Measures"
J. Math. Chem. 29 (2001), 41-45 - J. Karwowski,
"Ian P. Grant, FRS. A Biographical Note"
Comp. Phys. Commun. 138 (2001), 10-17 - H. Tatewaki, Y. Mochizuki, T. Koga, J. Karwowski,
"Modification of Nonrelativistic Gaussian Basis Sets for Relativistic Calculations"
J. Chem. Phys. 115 (2001), 9160-9164 - J. Ciosłowski, J. Karwowski,
"Quantum Mechanical Theory of Atoms in Molecules: A Relativistic Formulation"
in R. Carbó-Dorca, X. Girones, P. Mezey (editor), Fundamentals of Molecular Similarity, Kluwer Academic Publishers, New York (2001), pp. 101-112
ISBN: 0-306-46425-X - J. Karwowski,
"Some Properties of Configuration Interaction Matrices and their Applications"
J. Mol. Struct. 537 (2001), 9-15 - D. Bielińska-Wąż, J. Karwowski, G.H.F. Diercksen,
"Spectra of Confined Two-Electron Atoms"
J. Phys. B: At. Mol. Phys. 34 (2001), 1987-2000 - 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,
"Symmetric Group Approach to Spin-Dependent CI"
J. Mol. Struct. 547 (2001), 245-252 - 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 - R. Carbó-Dorca, J. Karwowski,
"Theoretical and Computational Aspects of Extended Wavefunctions"
Int. J. Quantum Chem. 84 (2001), 331-337 - 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
- A. Matamala-Vasquez, J. Karwowski,
"Commutator Perturbation Method in the Study of Vibration-Rotational Spectra of Diatomic Molecules"
Int. J. Quantum Chem. 77 (2000), 721-726 - I. Martin , J. Karwowski, D. Bielińska-Wąż,
"Matrix Elements of r^q in relativistic quantum defect orbital theory"
J. Phys. A 33 (2000), 823-830 - 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