Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Ishkhanyan, Artur"'
Publikováno v:
SIGMA 17 (2021), 056, 59 pages
In the first part of our paper we discuss linear 2nd order differential equations in the complex domain, especially Heun class equations, that is, the Heun equation and its confluent cases. The second part of our paper is devoted to Painlev\'e I-VI e
Externí odkaz:
http://arxiv.org/abs/2007.05698
Publikováno v:
Communications in Applied & Industrial Mathematics; Oct2024, Vol. 15 Issue 2, p60-68, 9p
Publikováno v:
In Annals of Physics October 2020 421
Publikováno v:
J. Phys. A: Math. Gen. 36, L81 (2003)
We show that in four particular cases the derivative of the solution of Heun general equation can be expressed in terms of a solution to another Heun equation. Starting from this property, we use the Gauss hypergeometric functions to construct series
Externí odkaz:
http://arxiv.org/abs/0909.1684
Autor:
Ishkhanyan, Artur
Publikováno v:
J. Phys. A: Math. Gen. 38, L491 (2005)
Several expansions of the solutions to the confluent Heun equation in terms of incomplete Beta functions are constructed. A new type of expansion involving certain combinations of the incomplete Beta functions as expansion functions is introduced. Th
Externí odkaz:
http://arxiv.org/abs/0909.1686
Autor:
Ishkhanyan, Artur, Nakamura, Hiroki
Publikováno v:
Phys. Rev. A 74, 063414 (2006)
The strong-coupling limit of molecule formation in an atomic Bose-Einstein condensate via two-mode one-color photoassociation or sweep across a Feshbach resonance is examined using a basic nonlinear time-dependent two-state model. For the general cla
Externí odkaz:
http://arxiv.org/abs/0909.0548
Publikováno v:
Phys. Rev. A 69, 043612 (2004)
We consider a nonlinear version of the Landau-Zener problem, focusing on photoassociation of a Bose-Einstein condensate as a specific example. Contrary to the exponential rate dependence obtained for the linear problem, a series expansion technique i
Externí odkaz:
http://arxiv.org/abs/physics/0205018
Akademický článek
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Autor:
Karwowski, Jacek1 (AUTHOR) jka@fizyka.umk.pl, Ishkhanyan, Artur2,3 (AUTHOR), Poszwa, Andrzej4 (AUTHOR)
Publikováno v:
Theoretical Chemistry Accounts: Theory, Computation, & Modeling. Dec2020, Vol. 139 Issue 12, p1-9. 9p.
Autor:
Ishkhanyan, Artur M.1,2 (AUTHOR) aishkhanyan@gmail.com
Publikováno v:
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences. Sep2020, Vol. 75 Issue 9, p771-779. 9p.