61 citations · 360 across the 42 of their papers we have counts for
22 papers · 1 filter
The explicit form of the unitary representation of the Poincaré group for vector-valued wave functions (massive and massless), with applications to photon's localization and position operators
Arkadiusz Jadczyk
We geometrically derive the explicit form of the Unitary representation of the Poincare group and use it to apply speed-of-light boosts to simple polarization basis to end up with…
A Comment on the "Photon position operator with commuting components" by Margaret Hawton
A. Jadczyk, A. M. Schlichtinger
We show that the position operator with commuting components proposed by M. Hawton [M. Hawton, Phys. Rev. A {\bf 59}, 954 (1999)] and developed in subsequent papers, including the…
Time of arrival operator in the momentum space
A. M. Schlichtinger, A. Jadczyk
It is shown that in presence of certain external fields a well defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the Hamiltoni…
Random walk on quantum blobs
Arkadiusz Jadczyk
We describe the action of the symplectic group on the homogeneous space of squeezed states (quantum blobs) and extend this action to the semigroup. We then extend the metaplectic r…
Asymptotic formula for quantum harmonic oscillator tunneling probabilities
Arkadiusz Jadczyk
Using simple methods of asymptotic analysis it is shown that for a quantum harmonic oscillator in n-th energy eigenstate the probability of tunneling into the classically forbidden…
Comment on `The minimum-uncertainty squeezed states for atoms and photons in cavity'
Arkadiusz Jadczyk
In a recent work, Kryuchkov, Suslov and Vega-Guzman [20013 J. Phys. B: At. Mol. Opt. Phys. 46 104007] described a multi-parameter family of minimum-uncertainty states satisfying th…
What is Time in Quantum Mechanics?
Arkadiusz Jadczyk
Time of arrival in quantum mechanics is discussed in two versions: the classical axiomatic "time of arrival operator" introduced by J. Kijowski and the EEQT method. It is suggested…
Quantum fractals on n-spheres. Clifford Algebra approach
Arkadiusz Jadczyk
Using the Clifford algebra formalism we extend the quantum jumps algorithm of the Event Enhanced Quantum Theory (EEQT) to convex state figures other than those stemming from convex…
Quantum Fractals. Geometric modeling of quantum jumps with conformal maps
Arkadiusz Jadczyk
Positive matrices in SL(2,C) have a double physical interpretation; they can be either considered as "fuzzy projections" of a spin 1/2 quantum system, or as Lorentz boosts. In the…
Some Comments on the Formal Structure of Spontaneous Localization Theories
Arkadiusz Jadczyk
We propose a mathematical and a conceptual framework (called the `E-model' and the `event ontology' resp.) that encompasses and generalizes the `flash' ontology discussed in a rece…
Simultaneous Measurement of Non-commuting Observables and Quantum Fractals on Complex Projective Spaces
Arkadiusz Jadczyk
Simultaneous measurement of several noncommuting observables is modeled by using semigroups of completely positive maps on an algebra with a non-trivial center. The resulting piece…
Quantum Jumps, EEQT and the Five Platonic Fractals
A. Jadczyk, R. Oberg
It is shown that symmetric configurations of fuzzy spin direction detectors generate, through quantum jumps, IFS fractals on the sphere S^2. The IFS fractals can be also interprete…
Completely Mixing Quantum Open Systems and Quantum Fractals
Ph. Blanchard, A. Jadczyk, R. Olkiewicz
Departing from classical concepts of ergodic theory, formulated in terms of probability densities, measures describing the chaotic behavior and the loss of information in quantum o…
Barrier traversal times using a phenomenological track formation model
J. P. Palao, J. G. Muga, S. Brouard +1
A phenomenological model for a measurement of barrier traversal times for particles is proposed. Two idealized detectors for passage and arrival provide entrance and exit times for…
The Piecewise Deterministic Process Associated to EEQT
Ph. Blanchard, A. Jadczyk, R. Olkiewicz
In the framework of Event Enhanced Quantum Theory (EEQT) a probabilistic construction of the piecewise deterministic process associated with a dynamical semigroup is presented. The…
On Quaternions and Monopoles
G. G. Emch, A Jadczyk
It is shown that the quaternionic Hilbert space formulation of quantum mechanics allows a quantization, based on a generalized system of imprimitivity, that leads to a description…
Time of Arrival in Event Enhanced Quantum Theory
Ph. Blanchard, A. Jadczyk
The new solution to the problem of time of arrival in quantum theory is presented herein. It allows for computer simulation of particle counters and it implies Born's interpretatio…
Time and Events
Ph. Blanchard, A. Jadczyk
Time plays a special role in Standard Quantum Theory. The concept of time observable causes many controversies there. In Event Enhanced Quantum Theory (in short: EEQT) Schroedinger…
On Uniqueness of the Jump Process in Quantum Measurement Theory
A. Jadczyk, G. Kondrat, R. Olkiewicz -
We prove that, contrary to the standard quantum theory of continuous observation, in the formalism of Event Enhanced Quantum Theory the stochastic process generating individual sam…
Quantum Mechanics with Event Dynamics
Ph. Blanchard, A. Jadczyk
Event generating algorithm corresponding to a linear master equation of Lindblad's type is described and illustrated on two examples: that of a particle detector and of a fuzzy clo…
Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory
Ph. Blanchard, A. Jadczyk
We enhance the standard formalism of quantum theory to enable events. The concepts of experiment and of measurement are defined. Dynamics is given by Liouville's equation that coup…
Theory of Events
Ph. Blanchard, A. Jadczyk
We review what we call "event-enhanced formalism" of quantum theory. In this approach we explicitly assume classical nature of events. Given a quantum system, that is coupled to a…