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- Anatol Odzijewicz, Maciej Horowski, Agnieszka Tereszkiewicz
- 2001

The strict relation between some class of multiboson hamiltonian systems and the corresponding class of orthogonal polynomials is established. The correspondence is used effectively to integrate the systems. As an explicit example we integrate the class of multiboson systems corresponding to q-Hahn polynomials.

- Maciej Horowski, Anatol Odzijewicz, Agnieszka Tereszkiewicz
- 2002

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states related to these systems is constructed and described. Some applications are also presented.

- Maryna Olexandrivna Nesterenko, Jiri Patera, Agnieszka Tereszkiewicz
- Int. J. Math. Mathematical Sciences
- 2011

Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n. Its result recognizes Chebyshev polynomials of the first and second kind as the special case of the simple group of type A1. The obtained not Laurent-type polynomials are equivalent to… (More)

- Agnieszka Tereszkiewicz, Izabela Wawreniuk
- Applied Mathematics and Computation
- 2015

- Goce Chadzitaskos, Maciej Horowski, Anatol Odzijewicz, Agnieszka Tereszkiewicz
- 2003

The eigenproblem for a class of Hamiltonians of the parametric down conversion process in the Kerr medium is solved. Some physical characteristics of the system are calculated.

- A Tereszkiewicz, M Górski
- Polski tygodnik lekarski
- 1965

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