47 citations · 320 across the 20 of their papers we have counts for
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Quasilinear evolution versus von Neumann selective measurement
Jakub Rembieliński, Karol Ławniczak
In this article, we introduce a new form of quantum selective measurement in which the von Neumann projection postulate is replaced by quasilinear evolution, governed by a nonlinea…
Quantum selective measurement as a quasilinear evolution
Jakub Rembieliński, Karol Ławniczak
We propose replacing the instantaneous state reduction in von Neumann selective measurement with continuous nonlinear evolution. Despite its nonlinearity, this evolution preserves…
Bell-type inequalities for systems of relativistic vector bosons
Alan J. Barr, Pawel Caban, Jakub Rembieliński
We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall s…
Nonlinear extension of the quantum dynamical semigroup
Jakub Rembieliński, Paweł Caban
In this paper we consider deterministic nonlinear time evolutions satisfying so called convex quasi-linearity condition. Such evolutions preserve the equivalence of ensembles and t…
Nonlinear evolution and signaling
Jakub Rembieliński, Paweł Caban
We propose a condition, called convex quasi-linearity, for deterministic nonlinear quantum evolutions. Evolutions satisfying this condition do not allow for arbitrary fast signalin…
Relativistic Einstein-Podolsky-Rosen correlations and localization
Paweł Caban, Jakub Rembieliński, Patrycja Rybka +1
We calculate correlation functions for a relativistic Einstein-Podolsky-Rosen-type experiment with massive Dirac particles. We take the influence of the Newton-Wigner localization…
Quantum beats of the rigid rotor
K. Kowalski, J. Rembieliński
The dynamics is investigated of a free particle on a sphere (rigid rotor or rotator) that is initially in a coherent state. The instability of coherent states with respect to the f…
Spin operator in the Dirac theory
Pawel Caban, Jakub Rembieliński, Marta Włodarczyk
We find all spin operators for a Dirac particle satisfying the following very general conditions: (i) spin does not convert positive (negative) energy states into negative (positiv…
Quantum dynamics of the harmonic oscillator on a cylinder
K. Kowalski, J. Rembieliński
Evolution of coherent states is considered for a particle confined to a cylinder moving in a harmonic oscillator potential. Because of the discontinuous changes as time goes by of…
On the dynamics of a particle on a cone
K. Kowalski, J. Rembieliński
A detailed study of the classical and quantum mechanics of a free particle on a double cone and the particle bounded to its tip by the harmonic oscillator potential is presented.
Einstein-Podolsky-Rosen correlations in a hybrid system
Paweł Caban, Jakub Rembieliński, Piotr Witas +1
We calculate the relativistic correlation function for a hybrid system of a photon and a Dirac-particle. Such a system can be produced in decay of another spin-1/2 fermion. We show…
Relativistic Einstein-Podolsky-Rosen correlations for vector and tensor states
Paweł Caban, Jakub Rembieliński, Marta Włodarczyk
We calculate and investigate the relativistic correlation function for bipartite systems of spin-1/2 in vector and spin-1 particles in tensor states. We show that the relativistic…
Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations
Paweł Caban, Jakub Rembieliński, Marta Włodarczyk
We show that configurations exist in which the correlation functions and the degree of violation of Bell-type inequalities in the relativistic Einstein-Podolsky-Rosen (EPR) experim…
Einstein-Podolsky-Rosen correlations of vector bosons
Paweł Caban, Jakub Rembieliński, Marta Włodarczyk
We calculate the joint probabilities and the correlation function in Einstein--Podolsky--Rosen type experiments with a massive vector boson in the framework of quantum field theory…
An open quantum system approach to EPR correlations in K0-K0 system
P. Caban, J. Rembielinski, K. A. Smolinski +2
We find the time evolution of the system of two non-interacting unstable particles, distinguishable as well as identical ones, in arbitrary reference frame having only the Kraus op…
Lorentz-covariant quantum mechanics and preferred frame
Pawel Caban, Jakub Rembieliński
In this paper the relativistic quantum mechanics is considered in the framework of the nonstandard synchronization scheme for clocks. Such a synchronization preserves Poincar{é} co…