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- University of GdańskPL161 papers
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14 papers · 1 filter
Green function diagonal for a class of heat equations
Grzegorz Kwiatkowski, Sergey Leble
A construction of the heat kernel diagonal is considered as element of generalized Zeta function, that, being meromorfic function, its gradient at the origin defines determinant of…
Solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem (revisited)
Radosław Szmytkowski
The Schrödinger-Coulomb Sturmian problem in , , is considered in the momentum representation. An integral formula for the Gegenbauer polynomials, found…
No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones
P. Joshi, A. Grudka, K. Horodecki +3
We deal with families of probability distributions satisfying non-signalling condition, called non-signalling boxes and consider class of operations that transform local boxes into…
Magnetic field-induced electric quadrupole moment in the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
Radosław Szmytkowski, Patrycja Stefańska
We consider a Dirac one-electron atom placed in a weak, static, uniform magnetic field. We show that, to the first order in the strength of the perturbing field, the only elect…
On the partition dimension of trees
Juan A. Rodriguez-Velazquez, Ismael G. Yero, Magdalena Lemanska
Given an ordered partition of the vertex set of a connected graph , the \emph{partition representation} of a vertex with respect to t…
Schemes of transmission of classical information via quantum channels with many senders: discrete and continuous variables cases
L. Czekaj, J. K. Korbicz, R. W. Chhajlany +1
Superadditivity effects in the classical capacity of discrete multi-access channels (MACs) and continuous variable (CV) Gaussian MACs are analysed. New examples of the manifestatio…