Bibliography of EEQT


Blanchard, Ph. and Jadczyk, A. : "On the Interaction Between Classical and Quantum Systems", Phys. Lett. A 175 (1993), 157-164 (The very first paper, describing the method of coupling of a quantum and of a classical system via dynamical semigroup. At that time we didn't yet know about piecewise deterministic processes.)

Blanchard, Ph. and Jadczyk, A.: "Strongly coupled quantum and classical systems and Zeno's effect", Phys. Lett. A 183 (1993) 272-276
(Here, for the first time, piecewise deterministic process describing individual systems is being mentioned. We wrote: " To the Liouville equation describing the time evolution of statistical states of Stot we will be in position to associate a piecewise deterministic process taking values in the set of pure states of Stot . Knowing this process one can answer all kinds of questions about time correlations of the events as well as simulate the behaviour of individual quantum-classical systems. Let us emphasize that nothing more can be expected from a theory without introducing some explicit dynamics of hidden variables. What we achieved is the maximum of what can be achieved, which is more than orthodox interpretation gives. There are also no paradoxes; we cannot predict, but we can simulate the behaviour of individual systems." At that time we didn't yet know under what conditions our PDP is unique. That is why we used the term "associated" with the Liouville equation, rather than "derived".)

Blanchard, Ph. and Jadczyk, A.: " How and When Quantum Phenomena Become Real" , in Proc. Third Max Born Symp. Stochasticity and Quantum Chaos, Sobotka 1993, pp. 13-31, Eds. Z. Haba et all. , Kluwer Publ. 1994

Blanchard, Ph. and Jadczyk, A.: `Classical and quantum intertwine', in Proceedings of the Symposium on Foundations of Modern Physics, Cologne, June 1993, Ed. P. Bush et al., World Scientific (1993), pp 65-76,

Jadczyk, A.: `IFS Signatures of Quantum States', IFT Uni Wroclaw, internal report, September 1993.

Jadczyk, A.: ``Topics in Quantum Dynamics", in Proc. First Caribb. School of Math. and Theor. Phys., Saint-Francois-Guadeloupe 1993, Infinite Dimensional Geometry, Noncommutative Geometry, Operator Algebras and Fundamental Interactions, ed. R.Coquereaux et al., World Scientific, Singapore 1995,
( A review paper. Describes the PDP process. States the problem: "How to determine state of an individual quantum system?" Describes a process on S2 which later was adapted for generation of quantum fractals.)

Jadczyk, A.: ``Particle Tracks, Events and Quantum Theory", Progr. Theor. Phys. 93 (1995), 631-646
(A model of particle tracks using a continuous medium of detectors. Gives GRW "spontaneous localization" model as a particular case.)

Jadczyk, A.: `On Quantum Jumps, Events and Spontaneous Localization Models', Found. Phys. 25 1995)743-762

Blanchard, Ph. and Jadczyk, A.: `From quantum probabilities to classical facts', in Advances in Dynamical Systems and Quantum Physics, Capri, May 1993, Ed. R. Figario, World Scientific (1994)

Blanchard, Ph. and Jadczyk, A.: `Event-Enhanced Formalism of Quantum Theory or Columbus Solution to the Quantum Measurement Problem', in Quantum Communications and Measurement, Edited by V.P. Belavkin, Plenum Press, New York 1995, pp. 223-233

Blanchard, Ph., and A. Jadczyk.: ` Event-Enhanced-Quantum Theory and Piecewise Deterministic Dynamics', Ann. der Physik 4 (1995) 583-599

Blanchard, Ph. and Jadczyk, A. : Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory, Phys.Lett. A 203 (1995) 260-266

Blanchard, Ph. and Jadczyk, A.: `Quantum Mechanics with Event Dynamics', Rep.Math.Phys. 36 (1995) 235-244

Blanchard, Ph., and Jadczyk, A.: ``Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory", Phys. Lett. A203 (1995), 260-266

Blanchard, Ph., and Jadczyk, A.: ``Event Enhanced and Piecewise Deterministic Quantum Theory or the Right Jump at the Right Place", in Chaos - the Interplay Between Stochastic and Deterministic Behaviour , Ed. P. Garbaczewski, Springer 1995, pp. 41-50

Blanchard, Ph., Jadczyk, A.: `Time of Events in Quantum Theory', Helv. Phys. Acta 69 (1996) 613-635

Jadczyk, A., Kondrat, G. and Olkiewicz, R. : `On uniqueness of the jump process in quantum measurement theory', J. Phys. A 30 (1996) 1-18

Blanchard, Ph., and Jadczyk ``Time of Events in Quantum Theory" , Helv. Phys. Acta 69 613-635

Blanchard, Ph., and Jadczyk, ``Relativistic Quantum Events", Found. Phys 26 (1996) 1669-1681

Jastrzebski G., `Interacting classical and quantum systems. Chaos from quantum measurements', Ph. D. thesis, University of Wroclaw (in Polish), 1996

Blanchard, Ph., and Jadczyk, "Time and events", Int. J. Theoret. Phys. 37 no 1 (1998) 227-233

Blanchard, Ph., Jadczyk, ``Time of Arrival in Event Enhanced Quantum Theory", in Physical Aspects of Geometry, Groups and Algebras , Volume 1, Ed. H.D. Doebner et al., World Scientific, 1997,

Palao, J. P., Muga, J.G., Brouard, S. and Jadczyk, A.: `Barrier traversal times using a phenomenological track formation model', Phys. Lett. A 233 (1997) 227-232

Olkiewicz, R. : Some mathematical problems related to classical-quantum interactions,
Rev. Math. Phys. 9 (1997), 719-747

Blanchard, Ph., Jadczyk, "EEQT a way out of the quantum trap", In Open Systems and Measurement in Relativistic Quantum Theory, Breuer, H.-P., Petruccione, F.,(Eds.), Lecture Notes in Physics, Springer-Verlag, 1999

Blanchard, Ph., Jadczyk, A., and Olkiewicz, R.: "The piecewise deterministic process associated to EEQT",

J. Miskiewicz, `` An indirect measurement in EEQT'', J. Phys. A 31 (1998), 8539

Ruschhaupt, A.: "Simulations of barrier traversal and reflection times based on event enhanced quantum theory", Phys. Lett. A 250 (1998), 249

R. Olkiewicz, ``Dynamical semigroups for interacting quantum and classical systems'', J. Math. Phys. 40 (1999), 1300

Ph. Blanchard, R. Olkiewicz, ``Interacting quantum and classical continuous systems I. The piecewise deterministic dynamics'', J. Stat. Phys. 94 (1999), 913

4. Ph. Blanchard, R. Olkiewicz, ``Interacting quantum and classical continuous systems II. Asymptotic behaviour of the quantum system'', J. Stat. Phys. 94 (1999), 933

Blanchard, Ph., Jadczyk, A. and A. Ruschhaupt, "How events come into being: EEQT, particle tracks, quantum chaos, and tunneling time" in Mysteries, Puzzles and Paradoxes in Quantum Mechanics", Rodolfo Bonifacio, Ed., Woodbury, NY: American Institute of Physics, 1999, [AIP Conference Proceedings, no. 461], J. Mod. Opt. 47 (2000), 2247-2263

Blanchard, Ph., Jadczyk, A., and Olkiewicz, R.: ` Completely Mixing Quantum Open Systems and Quantum Fractals'

J. Miskiewicz, R. Olkiewicz, `` The quantum stochastic processes as the reduced dynamics of EEQT'', Rep. Math. Phys. 47 (2001), 177

J. Miskiewicz, ``A piecewise deterministic process for homodyne measurement of an antom'', J. Phys. A 33 (2001), 81

Jadczyk, A., and R. Oberg : "Quantum Jumps, EEQT, and the Five Platonic Fractals",

Ruschhaupt, A.: "A Relativistic Extension of Event-Enhanced Quantum Theory", PhD thesis, University of Bielefeld