31 citations · 44 across the 3 of their papers we have counts for
7 papers
Unstable particles as open quantum systems
P. Caban, J. Rembielinski, K. A. Smolinski +1
We present the probability preserving description of the decaying particle within the framework of quantum mechanics of open systems taking into account the superselection rule pro…
Kraus representation of destruction of states for one qudit
P. Caban, K. A. Smolinski, Z. Walczak
Quantum operations arise naturally in many fields of quantum information theory and quantum computing. One of the simplest example of quantum operation is the von Neumann-Lueders m…
Einstein-Podolsky-Rosen correlations and Galilean transformations
P. Caban, J. Rembielinski, K. A. Smolinski +1
In this paper we calculate with full details Einstein-Podolsky-Rosen spin correlations in the framework of nonrelativistic quantum mechanics. We consider the following situation: t…
Destruction of states in quantum mechanics
P. Caban, J. Rembielinski, K. A. Smolinski +1
A description of destruction of states on the grounds of quantum mechanics rather than quantum field theory is proposed. Several kinds of maps called supertraces are defined and us…
Bethe Ansatz in Quantum Mechanics. 2. Construction of Multi-Parameter Spectral Equations
Dieter Mayer, Alexander Ushveridze, Zbigniew Walczak
In this paper we propose a simple method for building exactly solvable multi-parameter spectral equations which in turn can be used for constructing completely integrable and exact…
Bender-Dunne Orthogonal Polynomials and Quasi-Exact Solvability
A. Krajewska, A. Ushveridze, Z. Walczak
The paper is devoted to the further study of the remarkable classes of orthogonal polynomials recently discovered by Bender and Dunne. We show that these polynomials can be generat…