Publications

2025

2024

  • A. Dobrogowska, M. Szajewska: Eigenvalue problem versus Casimir functions for Lie algebras, Anal. Math. Phys. 14 (2024), 1-24. DOI: 10.1007/s13324-024-00892-4

  • A. Dobrogowska, K. Wojciechowicz: Lie Algebras, Eigenvalue Problems and Left-Symmetric Algebras J. Geom. Symm. Phys. 69 (2024), 59-67. DOI: 10.7546/jgsp-69-2024-59-67

  • T. Goliński, P. Rahangdale, A. B. Tumpach: Poisson structures in the Banach setting: comparison of different approaches, arXiv:2412.05391

  • T. Goliński, G. Larotonda, A. B. Tumpach: Nijenhuis operators on homogeneous spaces related to $C^*$-algebras, arXiv:2410.22055

  • T. Goliński, G. Larotonda, A. B. Tumpach: Nijenhuis operators on Banach homogeneous spaces, arXiv:2410.13557

  • T. Goliński, A. B. Tumpach: Geometry of integrable systems related to the restricted Grassmannian, SIGMA 20 (2024), 104. DOI: 10.3842/SIGMA.2024.104

  • T. Goliński, A. B. Tumpach: Integrable system on partial isometries: a finite dimensional picture, Geometric Methods in Physics, XL Workshop, Białowieża, Poland, 2023, (P. Kielanowski, A. Dobrogowska, D. Beltita, T. Goliński Ed(s).), Trends in Mathematics, Birkhauser, 2024. DOI: 10.1007/978-3-031-62407-0_5

  • A. Sliżewska: Geometric Structures Related to a $W^*$-Algebra, Operator and Matrix Theory, Function Spaces, and Applications, International Workshop on Operator Theory and its Applications 2022, Kraków, Poland, (M. Ptak, H.J. Woerdeman, M. Wojtylak Ed(s).), Oper. Theory Adv. Appl. , (publ. by) Springer, 2024, pp. 351-364. DOI: 10.1007/978-3-031-50613-0_16

2023

  • A. B. Tumpach, T. Goliński: Banach Poisson–Lie Group Structure on $\operatorname U(\mathcal H)$. Geometric Methods in Physics, XXXIX Workshop, Białystok, Poland, 2022, (P. Kielanowski, A. Dobrogowska, G. A. Goldin, T. Goliński Ed(s).), Trends in Mathematics, Birkhauser, 2023.

  • A. Dobrogowska, G. Jakimowicz: A new look at Lie algebras J. Geom. Phys. 192 (2023), 1-17. DOI: 10.1016/j.geomphys.2023.104959

  • A. Dobrogowska, G. Jakimowicz, M. Szajewska: On Some Structures of Lie Algebroids on the Cotangent Bundles Geometric Methods in Physics XXXIX, Workshop, Białystok, Poland, 2022, (P. Kielanowski, A. Dobrogowska, G. A. Goldin, T. Goliński Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2023, pp. 169-176. DOI: 10.1007/978-3-031-30284-8_16

  • M. Szajewska: Geometrical structures of nested polyhedra J. Phys.: Conf. Ser. 2667 (2023), 1-7. DOI: 10.1088/1742-6596/2667/1/012045

  • E. Wawreniuk: Symplectic Realizations of $e(3)^*$ Geometric Methods in Physics XXXIX, Workshop, Białystok, Poland, 2022, (P. Kielanowski, A. Dobrogowska, G. A. Goldin, T. Goliński Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2023, pp. 269-286. DOI: 10.1007/978-3-031-30284-8_23

2022

  • A. Odzijewicz, M. Horowski: Some aspects of positive kernel method of quantization Comm. Math. Phys. 389 (2022), 933-975. DOI: 10.1007/s00220-021-04158-z

  • A. Odzijewicz, E. Wawreniuk: Integrable Hamiltonian Systems on the Symplectic Realizations of $e(3)^∗$ Russ. J. Math. Phys. 29 (2022), no. 1, 91-114. DOI: 10.1134/S1061920822010095

2021

  • T. Goliński, F. Pelletier: Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure, arXiv:2112.14690

  • A. Dobrogowska, G. Jakimowicz: Generalization of the concept of classical $r$-matrix to Lie algebroids J. Geom. Phys. 165 (2021), 1-15. DOI: 10.1016/j.geomphys.2021.104227

  • A. Dobrogowska, K. Wojciechowicz: Linear bundle of Lie algebras applied to the classification of real Lie algebras Symmetry 13 (2021), no. 8, 1-17. DOI: 10.3390/sym13081455

2020

  • D. Beltita, A. Odzijewicz: Poisson geometrical aspects of the Tomita-Takesaki modular theory arXiv.org

  • D. Beltiţă, A. Odzijewicz: Standard groupoids of von Neumann algebras Geometric Methods in Physics XXXVIII, Workshop, Białowieża, Poland, 2019, (P. Kielanowski, A. Odzijewicz, E. Previato Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2020, pp. 31-39. DOI: 10.1007/978-3-030-53305-2_2

  • A. Dobrogowska, A.E. Mironov: Periodic one-point rank one commuting difference operators Geometric Methods in Physics XXXVIII, Workshop, Białowieża, Poland, 2019, (P. Kielanowski, A. Odzijewicz, E. Previato Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2020, pp. 67-74. DOI: 10.1007/978-3-030-53305-2_4

  • M. Myronova, J. Patera, M. Szajewska: Nested polyhedra and indices of orbits of Coxeter groups of non-crystallographic type Symmetry 12 (2020), no. 10, 1-18. DOI: 10.3390/sym12101737

  • A. Odzijewicz: Perturbed $(2n-1)$-dimensional Kepler problem and the nilpotent adjoint orbits of $U(n,n)$ Symmetry Integrability Geom. Methods Appl. 16 (2020), 1-23. DOI: 10.3842/SIGMA.2020.087

  • A. Odzijewicz, E. Wawreniuk: An integrable (classical and quantum) four-wave mixing Hamiltonian system J. Math. Phys. 61 (2020), no. 7, 1-18. DOI: 10.1063/5.0006887

2019

  • D. Beltita, T. Goliński, G. Jakimowicz, F. Pelletier: Banach-Lie groupoids and generalized inversion, J. Funct. Anal. 276 (2019), no. 5, 1528-1574. DOI: 10.1016/j.jfa.2018.12.002

  • T. Goliński: Factorization method on time scales, Appl. Math. Comput. 347 (2019), 354-359. DOI: 10.1016/j.amc.2018.11.007

  • M. Bodner, Z. Grabowiecka, J. Patera, M. Szajewska: Decomposition matrices for the square lattices of the Lie groups $SU(2) \times SU(2)$ Anal. Math. Phys. 9 (2019), no. 4, 2099-2108. DOI: 10.1007/s13324-019-00301-1

  • A. Dobrogowska: New classes of second order difference equations solvable by factorization method Appl. Math. Lett. 98 (2019), 300-305. DOI: 10.1016/j.aml.2019.06.026

  • A. Dobrogowska, D. J. Fernández C.: Discrete Quantum Harmonic Oscillator Symmetry 11 (2019), no. 1362, 1-8. DOI: 10.3390/sym11111362

  • A. Dobrogowska, G. Jakimowicz, M. Szajewska, K. Wojciechowicz: Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimensional Lie Algebras Geometry, Integrability and Quantization, 20th International Conference, Jun 2-7, 2018, Varna, Bulgary, (I. M. Mladenov, V. Pulov, A. Yoshiaka Ed(s).), Geom. Integrability & Quantization vol. 20, (publ. by) Bulgarian Academy of Sciences, 2019, pp. 122-130. DOI: 10.7546/giq-20-2019-122-130

  • A. Dobrogowska, G. Jakimowicz, K. Wojciechowicz: Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold J. Geometry and Symmetry in Physics 52 (2019), 47-66. DOI: 10.7546/jgsp-52-2019-47-66

  • A. Dobrogowska, G. Jakimowicz, K. Wojciechowicz: On some deformations of the Poisson structure associated with the algebroid bracket of differential forms Geometric Methods in Physics XXXVII, Workshop, Białowieża, Poland, 2018, (P. Kielanowski, A. Odzijewicz, E. Previato Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2019, pp. 13-23. DOI: 10.1007/978-3-030-34072-8_2

  • J. Hrivnak, J. Patera, M. Szajewska: Discrete orthogonality of bivariate polynomials of $A_2$, $C_2$ and $G_2$ Symmetry 11 (2019), no. 6, 1-26. DOI: 10.3390/sym11060751

  • G. Jakimowicz, A. Odzijewicz, A. Sliżewska: Symmetries of the space of connections on a principal $G$-bundle and related symplectic structures Rev. Math. Phys. 31 (2019), no. 10, 1950039_1-1950039_18. DOI: 10.1142/S0129055X19500399

  • M. Myronova, M. Szajewska: The orthogonal systems of functions on lattices of $SU(n + 1)$, $n < \infty$ Geometric Methods in Physics XXXVII, Workshop, Białowieża, Poland, 2018, (P. Kielanowski, A. Odzijewicz, E. Previato Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2019, pp. 195-203. DOI: 10.1007/978-3-030-34072-8_21

  • A. Odzijewicz, A. Sliżewska, E. Wawreniuk: A family of integrable perturbed Kepler systems Russ. J. Math. Phys. 26 (2019), no. 3, 368-383. DOI: 10.1134/S1061920819030117

2018

  • D. Beltita, T. Goliński, A.-B. Tumpach: Queer Poisson brackets, J. Geom. Phys. 132 (2018), 358-362. DOI: 10.1016/j.geomphys.2018.06.013

  • A. Dobrogowska, M.N. Hounkonnou: Factorization method and general second order linear difference equation, Differential and difference equations with applications, ICDDEA 2017, Jun 5-9, PROMS, Springer Verlag, 2018, pp. 1-11.

  • M. Bodner, J. Patera, M. Szajewska: Decomposition matrices for the special case of data on the triangular lattice of $G(2)$ Appl. Comput. Harmon. Anal. 45 (2018), no. 1, 233-238. DOI: 10.1016/j.acha.2017.02.003

  • A. Boichuk, M. Růžičková, A. Sliżewska: Liniowe zagadnienia brzegowe z zastosowaniami Uniwersytet w Białymstoku, 2018.

  • A. Dobrogowska, D. J. Fernandez C.: Darboux transformations and second order difference equations arXiv.org (2018), (on-line first).

  • Z. Grabowiecka, J. Patera, M. Szajewska: Reduction of orbits of finite Coxeter groups of non-crystallographic type J. Math. Phys. 59 (2018), no. 10, 1-18. DOI: 10.1063/1.5032210

  • K. Mackenzie, A. Odzijewicz, A. Sliżewska: Poisson geometry related to Atiyah sequences Symmetry Integrability Geom. Methods Appl. 14 (2018), 1-29. DOI: 10.3842/SIGMA.2018.005

  • A. Odzijewicz, G. Jakimowicz, A. Sliżewska: Fibre-wise linear Poisson structures related to $W^*$-algebras J. Geom. Phys. 123 (2018), 385-423. DOI: 10.1016/j.geomphys.2017.09.012

  • A. Odzijewicz, E. Wawreniuk: Coherent state maps for Kummer shapes Coherent States and Their Applications, A contemporary panorama, (JP. Antoine, F. Bagarello, JP. Gazeau Ed(s).), Springer Proceedings in Physics vol. 205, (publ. by) Springer, 2018, pp. 119-133. DOI: 10.1007/978-3-319-76732-1_6

  • A. Odzijewicz, E. Wawreniuk: Integrability and correspondence of classical and quantum non-linear three-mode system J. Math. Phys. 59 (2018), no. 4, 1-17. DOI: 10.1063/1.5024043

  • M. Szajewska, A. Tereszkiewicz: Multidimensional hybrid boundary value problem Acta Polytechn. 58 (2018), no. 6, 402-413. DOI: 10.14311/AP.2018.58.0402

2017

  • M. Bodner, J. Patera, M. Szajewska: Decomposition matrices for the special case of data on the triangular lattice of $G(2)$, Appl. Comput. Harmon. Anal. (2017), DOI: 10.1016/j.acha.2017.02.003

  • M. Bodner, J. Patera, M. Szajewska: Decomposition matrices for the special case of data on the triangular lattice of $SU(3)$, Appl. Comput. Harmon. Anal. 43 (2017), no. 2, 346-353, DOI: 10.1016/j.acha.2016.07.001

  • A. Dobrogowska, G. Jakimowicz: Factorization method and second order $q$- and $(q,h)$-difference equations, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2016), Rhodes, Greece, Sep 19-25 (T. E. Simos, Ch. Tsitouras Ed(s).), AIP Conf. Proc. vol. 1863, 2017, pp. 1-4, (article identifier 140005), DOI: 10.1063/1.4992312
  • A. Dobrogowska, G. Jakimowicz: Factorization method applied to the second order difference equations, Appl. Math. Lett. 74 (2017), 161-166, DOI: 10.1016/j.aml.2017.05.022
  • A. Dobrogowska, G. Jakimowicz: Tangent lifts of bi-Hamiltonian structures, J. Math. Phys. 58 (2017), no. 8, 1-15, DOI: 10.1063/1.4999167
  • A. Dobrogowska, T. S. Ratiu: Erratum to: Integrable Systems of Neumann Type, J. Dynam. Differential Equations 29 (2017), no. 1, 343-343, DOI: 10.1007/s10884-016-9540-8
  • A. Odzijewicz, G. Jakimowicz, A. Sliżewska: Fibre-wise linear Poisson structures related to $W^*$-algebras, J. Geom. Phys. (2017), DOI: 10.1016/j.geomphys.2017.09.012

2016

  • M. Bodner, J. Patera, M. Szajewska: Decomposition matrices for the special case of data on the triangular lattice of $SU(3)$, Appl. Comput. Harmon. Anal. (2016), DOI: 10.1016/j.acha.2016.07.001

  • G. Chadzitaskos, J. Patera, M. Szajewska: Polytopes vibrations within Coxeter group symmetries, The European Physical Journal B 89 (2016), no. 5, 1-7.

  • A. Dobrogowska, G. Filipuk, Factorization Method Applied to Second-Order $(q; h)$-Difference Operators, Int. J. Difference Equ. 11 (2016), no. 1, 3-17.
  • A. Odzijewicz, A. Sliżewska, Banach-Lie groupoids associated to $W^*$-algebras, Symplectic Geom. 14 (2016), no. 3, 687 - 736.
  • A. Odzijewicz, E. Wawreniuk, Classical and quantum Kummer shape algebras, J. Phys. A Math. Theor. 49 (2016), no. 26, 1-33.
  • M. Szajewska, Faces of root polytopes in all dimensions, Acta Cryst. A 72 (2016), no. 4, 465-471.
  • M. Szajewska, Polytope contractions within Weyl group symmetries, Math. Phys. Anal. Geom. 19 (2016), no. 3, 1-14.
  • M. Szajewska, A. Tereszkiewicz, Two-dimensional hybrids with mixed boundary value problems, Acta Polytechn. 56 (2016), no. 3, 245-253.

2015

  • M. Bodner, E. Bourret, J. Patera, M. Szajewska, Icosahedral symmetry breaking: C60 to C84, C108 and to related nanotubes, Acta Cryst. A 71 (2015), 297-300.
  • A. Dobrogowska, R-matrix, Lax pair, and multiparameter decompositions of Lie algebras, J. Math. Phys. 56 (2015), no. 11, 1-11.
  • A. Dobrogowska, T. Goliński: Examples of Hamiltonian Systems on the Space of Deformed Skew-symmetric Matrices, Geometric Methods in Physics, XXXIII Workshop 2014, Białowieża, Poland, Jun 29 - Jul 5, Trends in Mathematics, Birkhauser Verlag, Basel, 2015, pp. 247-255. DOI: 10.1007/978-3-319-18212-4_19
  • A. Dobrogowska, G. Jakimowicz, Factorization Method for $(q,h)$-Hahn Orthogonal Polynomials Geometric Methods in Physics, XXXIII Workshop 2014, Białowieża, Poland, Jun.29-Jul.05, Birkhauser Verlag, Basel, 2015, pp. 237-246.
  • A. Dobrogowska, Tudor S. Ratiu, Integrable Systems of Neumann Type, J. Dynam. Differential Equations 27 (2015), no. 3, 533-553.
  • F.W. Lemire, J. Patera, M. Szajewska, Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2 Internat. J. Theoret. Phys. 54 (2015), no. 11, 4011-4026.
  • A. Odzijewicz, G. Jakimowicz, A. Sliżewska, Banach–Lie algebroids associated to the groupoid of partially invertible elements of a $W^*$-algebra, J. Geom. Phys. 95 (2015), 108-126.

2014

  • M. Bodner, E. Bourret, J. Patera, M. Szajewska, Icosahedral symmetry breaking: C60 to C78, C96 and to related nanotubes, Acta Cryst. A 70 (2014), no. 6, 650-655.
  • M. Bodner, J. Patera, M. Szajewska, Breaking of icosahedral symmetry: C60 to C70, PLoS ONE 9(3) (2014), e84079, 1-5.
  • M. Bodner, J. Patera, M. Szajewska, Polytope contractions within icosahedral symmetry, Canad. J. Phys. 92 (2014), no. 11, 1446-1452.
  • A. Dobrogowska, T. Goliński: Lie bundle on the space of deformed skew-symmetric matrices, J. Math. Phys. 55 (2014), no. 11, 1-14. DOI: 10.1063/1.4901010
  • A. Dobrogowska, G. Jakimowicz, Symplectic dual pair related to $so_{a_1,\ldots,a_{n-1}}(n)$, XXII International Conference on Integrable Systems and Quantum Symmetries (ISQS22), June 23-29, J. Phys.: Conf. Ser. vol. 563, (2014) pp. 1-8.
  • M. Szajewska, Faces of platonic solids in all dimensions, Acta Cryst. A 70 (2014), no. 4, 358-363.
  • A. Dobrogowska, The q-deformation of hyperbolic and trigonometric potenials, Int. J. Difference Equ. 9 (2014), no. 1, 45-51
  • A. Dobrogowska, G. Jakimowicz, Factorization method applied to the second order $q$-difference operators, Appl. Math. Comput. (2014), no. 228, 147-152
  • A. Dobrogowska, A. Odzijewicz, Integrable Systems Related to Deformed $so(5)$, SIGMA Symmetry Integrability Geom. Methods Appl. 10 (2014), 1-18
  • A. Dobrogowska, A. Odzijewicz, Symplectic Dual Pair Related to Deformed $so(5)$, Geometric Methods in Physics, XXXII Workshop 2013, Białowieża, Poland
  • S. Hilger, G. Filipiuk, R. Kycia, A. Dobrogowska, On the $(q, h)$-Discretization of Ladder Operators, Int. J. Difference Equ. 9 (2014), no. 1, 67-76
  • G. Jakimowicz, A. Odzijewicz, A. Sliżewska, Complex Manifold Structure and Algebroid of the Partially Invertible Elements Groupoid of a $W^*$-algebra, Geometric Methods in Physics, XXXII Workshop 2013, Białowieża, Poland

2013

  • A. Odzijewicz, M. Horowski, Positive kernels and quantization, J. Geom. Phys. 63 (2013), 80-98

  • A. Dobrogowska, Integrable Hamiltonian systems generated by antisymmetric matrices, J. Phys.: Conf. Ser. 474 (2013), 1-6

  • A. Dobrogowska, The $q$-deformation of the Morse potential, Appl. Math. Lett. 26 (2013), no. 7, 769-773
  • A. Dobrogowska, Tudor S. Ratiu, Integrable Systems of Neumann Type, Dynam. Differential Equations (2013)

2012

  • T. Goliński, A. Odzijewicz: Hierarchy of integrable Hamiltonians describing the nonlinear $n$-wave interaction, J. Phys. A Math. Theor. 45 (2012), no. 4, 045204. DOI: 10.1088/1751-8113/45/4/045204
  • A. Tereszkiewicz, Decomposition of Weyl group orbit products of $W(A_2)$ Geometric Methods in Physics, XXXI Workshop, Białowieża, Poland, June 24-30, 2012, Birkhauser Verlag, Basel, 2013
  • A. Dobrogowska, A. Odzijewicz, Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling, Regul. Chaotic Dyn. 17 (2012), no. 6, 492-505

2011

  • A. E. Dominguez, P. Kielanowski, Time evolution of the unstable quantum oscillator, Internat. J. Theoret. Phys. 50 (2011), no. 7, 2252-2258.
  • M. Nesterenko, J. Patera, A. Tereszkiewicz, Orbit function of $SU(n)$ and Chebyshev polynomials, Group Analysis of Differential Equations and Integrable Systems, Proceedings of the 5th International Workshop in Protaras, Cyprus 2010, June 6-10 (N. M. Ivanova, P. G. L. Leach, R. O. Popovych, C. Sophocleous, P. A. Damianou), (publ. by) University of Cyprus, 2011, pp. 133-151.
  • M. Nesterenko, J. Patera, A. Tereszkiewicz, Orthogonal Polynomials of Compact Simple Lie Groups, Int. J. Math. Math. Sci. 2011 (2011), no. 969424, 1-23
  • A. Odzijewicz, Hamiltonian and quantum mechanics, Lectures on Poisson Geometry, Proceedings Poisson Geometry ICTP2005, Trieste July 4-22 , Italy (T. Ratiu, A. Weinstein, N. T. Zung), Geometry & Topology Monographs vol. 17, Mathematical Science Publishers, 2011, pp. 385-472
  • A. Odzijewicz, A. Dobrogowska, Integrable Hamiltonian systems related to the Hilbert-Schmidt ideal, J. Geom. Phys. 61 (2011), no. 8, 1426-1445

2010

  • T. Goliński, A. Odzijewicz: Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian, J. Funct. Anal. 258 (2010), no. 10, 3266 - 3294. DOI: 10.1016/j.jfa.2010.01.019
  • M. Nesterenko, J. Patera, M. Szajewska, A. Tereszkiewicz, Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials, J. Phys. A Math. Theor. 43 (2010), no. 495207, 1-27

2009

  • T. Goliński, A. Odzijewicz: Some Integrable Systems on the Banach Lie-Poisson Space $i\mathbb{R} + U^1_{\textrm{res}}$, XXVIII Workshop on Geometrical Methods in Physics, Białowieża 2009, Poland, Jun 28 - Jul 4, AIP Conf. Proc. vol. 1191, 2009, pp. 91-97. DOI: 10.1063/1.3275603
  • G. Jakimowicz, A. Odzijewicz, Quantum Ball, XXVIII Workshop on Geometrical Methods in Physics, Białowieża 2009, Poland, June 28 - July 4 (P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, T. Voronov), AIP Conf. Proc. vol. 1191, Uniwersytet w Białymstoku (org.), (publ. by) American Institute of Physics, 2009, pp. 116-122
  • G. Jakimowicz, A. Odzijewicz, Quantum ball as an example of quantum Kahler manifold, J. of Geometry and Physics 59 (2009) 279-294

2008

  • A. Odzijewicz, T. Ratiu, Induced and coinduced Banach Lie-Poisson spaces and integrability, J. Funct. Anal. 255 (2008) 1225-1272
  • A. Odzijewicz, T. Ratiu, Induction for weak symplectic Banach manifolds, J. Geom. Phys. 58(6) 2008 701-719

2007

  • T. Goliński, M. Horowski, A. Odzijewicz, A. Sliżewska: $sl(2,\mathbb R)$ symmetry and solvable multiboson system, J. Math. Phys. 48 (2007), no. 2, 023508(1-19). DOI: 10.1063/1.2409525

  • A. Odzijewicz, T. Goliński, A. Tereszkiewicz: Coherent state maps related to the bounded positive operators, J. Math. Phys. 48 (2007), no. 12, 123514 (1-14). DOI: 10.1063/1.2821615

  • A. Sliżewska, T. Goliński, M. Horowski, A. Odzijewicz: Integrability of one-mode bosonic systems with $sl(2,\mathbb R)$ symmetry, XXVI International Workshop on Geometrical Methods in Physics, Białowieża 2007, Poland, Jul 1-7, AIP Conf. Proc. vol. 956, 2007, pp. 218-224. DOI: 10.1063/1.2820970

  • M. Szajewska, Svojstvo krivizn i krucenija reguljarnogo semejstva krivych v $E^n$, Mat. Zametki 83 (2008), no. 5, 757-762
  • M. Horowski, A. Odzijewicz, A. Tereszkiewicz, Example of the two-mode bosonic system integrable by the dual Hahn polynomials, XXVI Workshop on Geometrical Methods in Physics (Melville, New York) (P. Kielanowski, et al.), AIP Conf. Proc. 956, University of Bialystok, AIP, 1-7 2007, pp. 225-229
  • A. Dobrogowska, K. Janglajew, The factorization of the (q,h)-difference operators, J. Differ. Equations Appl. 13 (2007), no. 12, 1171-1177
  • A. Tereszkiewicz, A. Odzijewicz, M. Horowski, I. Jex, G Chadzitaskos, Explicitly solvable models of a two-mode coupler in Kerr media, Phys. Rev. A 75 (2007), 063817(1-10)
  • A. Dobrogowska, A. Odzijewicz, Solutions of the q-deformed Schrodinger equation for special potentials, J. Phys. A: Math Theor. 40 No 9 (2007) 2023-2036
  • A. Odzijewicz, Non-commutative Kahler structures, J. Geom. Phys. 57 1259-1278 (2007) arxiv

2006

  • T. Goliński, M. Horowski, A. Odzijewicz, A. Sliżewska: Integrable fermion systems with fourth-order nonlinearity, Czech. J. Phys. 56 (2006), no. 10/11, 1161-1165. DOI: 10.1007/s10582-006-0418-6
  • G. Jakimowicz, A. Odzijewicz, Quantum complex Minkowski space, J. of Geometry and Physics 56 (2006), 1576-1599, arxiv
  • A. Dobrogowska, A. Odzijewicz, Second order q-diference equations solvable by factorization method, J. Comput. Appl. Math. 193 (2006), 319-343, arxiv
  • G. Jakimowicz, A. Odzijewicz, Complex Minkowski space as a conformal phase space, Max Born Symposium 2004 Proceedings
  • A. Odzijewicz, Coherent state map and deformations of Moyal product, in: General Relativity and Cosmology in honour J. Plebański, Proc. of 2002 International Conference, pages 347-359, World Scientific 2006

2005

  • T. Goliński, A. Odzijewicz: Factorization method for second order functional equations, J. Comput. Appl. Math. 176 (2005), no. 2, 331-355. DOI: 10.1016/j.cam.2004.07.023
  • A. Odzijewicz, Coherent State Method in Geometric Quantization, Twenty Years of Bialowieza: A Mathematical Anthology, Aspects of Differential Geometric Methods in Physics, 47-78, World Scientific 2005
  • A. Odzijewicz, T. Ratiu, Banach Lie-Poisson spaces, Twenty Years of Bialowieza: A Mathematical Anthology, Aspects of Differential Geometric Methods in Physics, 113-128, World Scientific 2005

2004

  • A. Dobrogowska, T. Goliński, A. Odzijewicz: Change of variables in factorization method for second order functional equations, Czech. J. Phys. 54 (2004), no. 11, 1257-1263. DOI: 10.1007/s10582-004-9787-x
  • M. Horowski, G. Chadzitaskos, A. Odzijewicz, A. Tereszkiewicz, Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials, J. Phys. A: Math. Gen. 37, 6115-6128, 2004, arxiv
  • A. Odzijewicz, T. Ratiu, Extensions of Banach Lie-Poisson spaces, J. of Funct. Anal. 217, 103-125, 2004, arxiv
  • A. Lebedev, A. Odzijewicz, Extensions of $C^*$-algebras by partial isometries, Matematicheskij Sbornik 195:7, 951-982, 2004, arxiv

2003

  • G. Chadzitaskos, M. Horowski, A. Odzijewicz, A. Tereszkiewicz, The exact solution of the eigenproblem for the parametric down conversion process in the Kerr medium, Czech. J. Phys., 53 (2003), 11, 1015-1020, arxiv
  • A. Odzijewicz, T. Ratiu, Banach Lie-Poisson spaces and reduction, Commun. Math. Phys. 243(1) 1-54 2003, arxiv
  • M. Horowski, A. Odzijewicz, A. Tereszkiewicz, Some Integrable Systems in Quantum Optics, J. Math. Phys., 44, 2, 480-506, 2003, arxiv

2002

  • T. Goliński, A. Odzijewicz General difference calculus and its application to functional equations of the second order, Czech. J. Phys. 52 (2002), no. 11, 1219-1224. DOI: 10.1023/A:1021380803164
  • A. Lebedev, A. Odzijewicz, C*-algebras generated by components of polar decomposition, Doklady Nacjonalnoj Akademii Nauk Belarusi, 46, 6, 11-13, 2002, arxiv
  • A. Lebedev, A. Odzijewicz, C*-algebras associated to endomorphisms generated by partial isometries, Doklady Nacjonalnoj Akademii Nauk Belarusi, 46, 1, 28-31, 2002
  • M. Horowski, A. Odzijewicz, A. Tereszkiewicz, Operator algebras related to quantum optical systems and integrations, Czech. J. Phys., 52, 11, 1231-1239,2002
  • A. Ryżko, A. Odzijewicz, The Darboux-like transform and some integrable cases of the $q$-Riccati equation, J. Phys. A:Math. Gen., 35(2002), 747-757, arxiv

2001 and older

  • A. Odzijewicz, M. Horowski, A. Tereszkiewicz, Integrable multi-boson systems and orthogonal polynomials, J. Phys. A: Math. Gen. 34(2001)1-24, arxiv
  • M. Grundland, A. Odzijewicz, The superposition principle for the Lie type first-order PDEs, Rep. Math. Phys. 45, 2000
  • A. Odzijewicz, Quantum Algebras and $q$-Special Functions Related to Coherent States Maps of the Disc, Commun. Math. Phys. 192, 183-215, 1998
  • G. Chadzitaskos, A. Odzijewicz, Para-Grassmann Star Product Calculation, Lett. in Math. Phys., 43, 199-209, 1998
  • A. Ryżko, A. Odzijewicz, Coherent states for deformed Jaynes-Cummings model, Reports on Math. Phys., 40, 277-283, 1997
  • A. Odzijewicz, M. Swiętochowski, Coherent states map for MIC-Kepler system, J. Math. Phys 38(10), 1997
  • G. Chadzitaskos, A. Odzijewicz, The $q$-deformed Quantum Mechanics when $q$ is a Root of the Unity, Procc. of XIII Wigner Conf. in Goslar, 1996
  • V. Maximov, A. Odzijewicz, The $q$-deformed Quantum Mechanics in the Coherent States Map Approach, Quantization, Coherent States, And Complex Structures, ed. by J.-P. Antoine et al., 225-233, Plenum Press, New York-London, 1995
  • V. Maximov, A. Odzijewicz, The $q$-deformation of quantum mechanics of one degree of freedom, J. Math. Phys., 36(4),1681-1690, 1995