Arkadiusz Jadczyk

List of publications

Random walk on quantum blobs, 2015,

Comment on `The minimum-uncertainty squeezed states for atoms and photons in cavity', 2015,

Asymptotic formula for quantum harmonic oscillator tunneling probabilities, Rep. Math. Phys. 76 (2015), 149-158,

Quantum Fractals Quantum Fractals, From Heisenberg's Uncertainty to Barnsley's Fractality,

Monograph, World Scientific, 2014,

A Comment on "On the Rotation Matrix in Minkowski Space-time" by Ozdemir and Erdogdu
, (with Jerzy Szulga) ,,
Reports on Mathematical Physics, 74(1), 2014, 39-44,
DOI: 10.1016/S0034-4877(14)60056-2           

 What is Time in Quantum Mechanics, International Journal of Geometric Methods in Modern Physics, Vol. 11 (2014),1460019,,
DOI: 10.1142/S0219887814600196

START in a five–dimensional conformal domain
, A. Jadczyk,, Advances in Applied Clifford Algebras, 22 (2012), 689-701

Geometry and Shape of Minkowski's Space Conformal Infinity, A. Jadczyk,, Reports on Mathematical Physics, 69 (2012), 179-195

Gravitation on a Homogeneous Domain, A. Jadczyk,, Advances in Applied Clifford Algebras, 22 (2012), 1069-1080

Compactified Minkowski Space: Myths and Facts, A. Jadczyk,, Prespace Journal, 3 (2012), 131-140

Some comments on projective quadrics subordinate to pseudo--Hermitian spaces, A. Jadczyk, Advances in Applied Clifford Algebras, 21 (2011), 721-756

On Conformal Infinity and Compactifications of the Minkowski Space, A. Jadczyk,, Advances in Applied Clifford Algebras,
DOI: 10.1007/s00006-011-0285-5, 2011

Theory of Kairons , A. Jadczyk,, Advances in Applied Clifford Algebra, vol 19 (2009), p. 63-82

Comments on `Spin Connection Resonance in Gravitational General Relativity', Gerhard W. Bruhn, Friedrich W. Hehl, Arkadiusz Jadczyk,
Acta Physica Polonica B, 39 no 1 (2008), pp. 51-58

Quantum Fractals on n-spheres, A. Jadczyk, (Advances in Applied Clifford Algebra, vol 17 (2007), p. 201-240).
Quantum Fractals. Geometric modeling of quantum jumps with conformal maps, A. Jadczyk, Advances in Applied Clifford Algebra, vol 18 (2008), p. 737-754
Some Comments on the Formal Structure of Spontaneous Localization Theories,A. Jadczyk, AIP Conference Proceedings -- June 27, 2006 -- Volume 844, p. 192-199, QUANTUM MECHANICS: Are There Quantum Jumps? - and on the Present Status of Quantum Mechanics.
Piecewise Deterministic Quantum Dynamics and Quantum Fractals on the Poincare Disk, A. Jadczyk, Reports on Mathematical Physics, Vol 54 No 1 (2004), p. 81--92.
On Quantum Iterated Function Systems, A. Jadczyk, Central European Journal of Physics, Vol. 2, No 3 (2004) p. 492-503
Measurement of Non-Commuting Observables and Quantum Fractals on Complex Projective Spaces, A. Jadczyk, Chinese Journal of Physics 43 No 2 (2005) p. 301-327.
General Relativistic Quantum Mechanics, A. Jadczyk, M. Modugno, Seminar of the Department of Applied Mathematics, University of Florence 1994.
Galilei General Relativistic Quantum Mechanics Revisited, A. Jadczyk, J. Janyska, M. Modugno, in Geometria, Fisica-Matematica e outros Ensaios, A,S. Alves, F.J. Craveiro De Carvalho and J.A. Pereira Da Silva Eds., Homenagem A Antonio Ribeiro Gomes, Coimbra 1998, 253-313.
Quantum Jumps, EEQT and the Five Platonic Fractals, A. Jadczyk, R. Oberg, Preprint,
Fractional Counts – The Simulation of Low Probability Events, R. L. Coldwell, G. P. Lasche, A. Jadczyk, AIP Conference Proceedings -- July 12, 2001 -- Volume 576, p. 587-590, The CAARI 2000: Sixteenth international conference on the application of accelerators in research and industry
Comparison of Linear Decompositional Techniques with Robust Fitting Analysis for Applications to Detection of Illicit Trafficking of Special Nuclear Materials, C. J. Cray, G. P. Lasche, R. L. Coldwell, A. Jadczyk, Paper Presented At The Iaea Conference Security of Material, Measures To Prevent, Intercept and Respond To Illicit Uses of Nuclear Material and Radioactive Sources, Stockholm, 7 May 2001 , Section: Decompositional Techniques).
How Events Come into Being: EEQT, Particle Tracks, Quantum Chaos, and Tunneling Time, Ph. Blanchard, A. Jadczyk, A. Ruschhaupt, 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
Completely Mixing Quantum Open Systems and Quantum Fractals, Ph. Blanchard, A. Jadczyk, R. Olkiewicz, Physica D: Nonlinear Phenomena, 148 (3-4) (2001) p. 227-241.
EEQT A Way out of the Quantum Trap, Ph. Blanchard, A. Jadczyk, in Open Systems and Measurement in Relativistic Quantum Theory, Breuer, H.-P., Petruccione, F.,(Eds.), Lecture Notes In Physics, Springer-Verlag, 1999.
The Piecewise Deterministic Process Associated to EEQT, Ph. Blanchard, A. Jadczyk, R. Olkiewicz, Preprint,
Quaternions and Monopoles, G.G. Emch, A. Jadczyk, in CMS Conference Proceedings Series, Stochastic Processes, Physics and Geometry: New Interplays. A Volume in Honor of Sergio Albeverio.
Fundamental Geometric Structures for the Dirac Equation In General Relativity, D. Canarutto, A. Jadczyk, Acta Appl. Math. 51 No 1 (1998) 59-92.
Two-Spinors and Einstein-Cartan-Maxwell-Dirac Fields, D. Canarutto, A. Jadczyk, Ll Nuovo Cimento B 113 (1998) 49-68.
Time and Events, Ph. Blanchard, A. Jadczyk, Int. J. Theoret. Phys. 37 No 1 (1998) 227-233.
Barrier Traversal Times Using a Phenomenological Track Formation Model, J. P. Palao, J. G. Muga, S. Brouard, A. Jadczyk, in CMS Conference Proceedings Series, Phys. Lett. A 233 (1997) 227-232.
Time of Arrival in Event Enhanced Quantum Theory, Ph. Blanchard, A. Jadczyk, in Proc. XXI Int. Colloquium on Group Theoretical Methods in Physics, Ed. H.D. Doebner et al., World Scientific, Singapore 1997.
Relativistic Quantum Events, Ph. Blanchard, A. Jadczyk, Found. Phys. 26 (1996) 1669-1681.
Time of Events in Quantum Theory, Ph. Blanchard, A. Jadczyk, Helv. Phys. Acta 69 (1996) 613-635.
On Uniqueness of the Jump Process in Event Enhanced Quantum Theory, A. Jadczyk, G. Kondrat, R. Olkiewicz, J. Phys. A 30 (1996) 1-18.
Quantum Mechanics of a Spin Particle in Curved Space with Absolute Time, D. Canarutto, A. Jadczyk, M. Modugno, Rep. Math. Phys. 36 (1995) 95-140.
Event Enhanced and Piecewise Deterministic Quantum Theory or the Right Jump at the Right Place, Ph. Blanchard, A. Jadczyk, in: Chaos - The Interplay Between Stochastic and Deterministic Behaviour, Ed. P. Garbaczewski et al., Springer, Berlin 1995, p. 41-50.
Events and Piecewise Deterministic Dynamics in Event Enhanced Quantum Theory, Ph. Blanchard, A. Jadczyk, Phys. Lett. A 203 (1995) 260-266.
Quantum Mechanics with Event Dynamics, Ph. Blanchard, A. Jadczyk, Rep.Math.Phys. 36, No. 2/3 (1995) 235-244.
Theory of Events, Ph. Blanchard, A. Jadczyk, in Nonlinear, Deformed and Irreversible Quantum Systems, Ed. H.D. Doebner et el, World Scientific, Singapore 1995, p. 265-272.
Event Enhanced Quantum Theory and Piecewise Deterministic Dynamics, Ph. Blanchard, A. Jadczyk, Ann. der Phys. 4 (1995) 583-599.
Event Enhanced Formalism of Quantum Theory: Or Columbus Solution to the Quantum Measurement Problem, Ph. Blanchard, A. Jadczyk, in Quantum Communications and Measurement, Ed. V.P.Belavkin et al, Plenum Press, New York, 1995, p. 223-233.
From Quantum Probabilities to Classical Facts, Ph. Blanchard, A. Jadczyk, in Advances in Dynamical Systems and Quantum Physics, Ed. R. Figario, World Scientific 1994.
On Quantum Jumps, Events and Spontaneous Localization Models, A. Jadczyk, Found. Phys. 25(1995) 743-762.
Particle Tracks, Events and Quantum Theory, A. Jadczyk, Progr.Theor.Phys. 93 (1995), 631-646.
Topics In Quantum Dynamics, A. Jadczyk, in Infinite Dimensional Geometry, Non Commutative Geometry, Operator Algebras, Fundamental Interactions, Ed. R. Coquereaux Et Al, Worl Scientific, Singapore 1995, p. 57-91.
Classical and Quantum Intertwine, Ph. Blanchard, A. Jadczyk, in Proc. Symp. Found. Mod. Phys., Cologne, June 1993, Ed. P.Bush Et All, World Scientific 1993, p. 65-76.
How and When Quantum Phenomena Become Real, Ph. Blanchard, A. Jadczyk, in Stochasticity and Quantum Chaos, ed. Z. Haba et all., Kluwer Publ. 1994, p. 13-31.
Strongly Coupled Quantum and Classical Systems and Zenos effect, Ph. Blanchard, A. Jadczyk, Phys. Lett. A 183 (1993) p. 272-276.
On Interaction Between Classical and Quantum Systems, Ph. Blanchard, A. Jadczyk, Phys. Lett. A 175 (1993), p. 157-164.
A Scheme for Galilei General Relativistic Quantum Mechanics,, A. Jadczyk, M. Modugno, Preprint IFT-UWR-834-93, Apr 1993, In Kyoto U., Yukawa Inst. Library only,Talk at the 5th Italian Conference on General Relativity, Bardonecchia, Sept. p. 1-5, 1992.
An Outline of a New Geometrical Approach to Galilei General relativistic Quantum Mechanics, A. Jadczyk, M. Modugno, in Proc. XXI Int. Conf. on Differential Geometric Methods in Theoretical Physics, June 1992, Tianjin, ed. C.N. Yang et al., World Scientific, Singapore 1992, p. 543-556.
Borns Reciprocity in the Conformal Domain, A. Jadczyk, in Wroclaw 1992, Proceedings, Spinors, twistors, Clifford algebras and quantum deformations, p. 129-140.
Differential and Integral Geometry of Grassmann Algebras, R. Coquereaux, A. Jadczyk, D. Kastler, Rev. Math. Phys. 3 (1991), p. 63-100.
Algebras, Symmetries, Spaces, A. Jadczyk, in Clausthal 1989, Proceedings, Quantum groups, 426-434. (see HIGH ENERGY PHYSICS INDEX 29 (1991) No. 12256).
Bioelektronika w Oczach Fizyka Teoretyka, A. Jadczyk, (in Polish) -- Materialy Sympozjum, KUL, Lublin (1990), p. 45-57.
Conformal Theories, Curved Phase Spaces, Relativistic Wavelets and the Geometry of Complex Domains, R. Coquereaux, A. Jadczyk, Rev.Math.Phys. 2, (1990), p. 1-44.
Quantum Statistical Holonomy, L. Dabrowski, A. Jadczyk, J. Phys. A 22 (1989), p. 3167-3170.
On Berrys Phase, A. Jadczyk, Preprint, Based on Talk Presented at the 7th Summer Workshop on Mathematical Physics - Group Theoretical Methods and Physical Applications. Clausthal, Germany.
Graded Lie--Cartan Pairs, A. Jadczyk, D. Kastler, Rep. Math. Phys. 25 (1988) p. 1.
Dimensional Reduction and Kaluza-Klein Theories: Some Differential Geometric Ideas, A. Jadczyk, in *Clausthal 1986, Proceedings, Differential Geometric Methods In Theoretical Physics* p. 99-107.
Graded Lie--Cartan Pairs. 2. The Fermionic Differential Calculus, A. Jadczyk, D. Kastler, Ann. Phys. 179 (1987) p. 169-200.
Consistency of the G--Invariant Kaluza-Klein Scheme, R. Coquereaux, A. Jadczyk, Nucl. Phys. B276 ( 1986) p. 617-628.
Harmonic Expansion and Dimensional Reduction in G/H Kaluza-Klein Theories, R. Coquereaux, A. Jadczyk, Phys. Lett. A 175 (1993), p. 157-164.
Symmetries of Einstein Yang-Mills Fields and Dimensional Reduction, R. Coquereaux, A. Jadczyk, Commun. Math. Phys. 98 (1985) p. 79-104.
On the Effective Gauge Group from G/H Spontaneous Compactification, A. Jadczyk, Preprint Cern-Th-4332/85, Nov 1985. 15p. Lectures given at 1st Turin Meeting on Superunification and Extra Dimensions, Turin, Italy, Sep 22-28, 1985, In Torino Superunif. 1985, p. 79-96(Qcd161:M43:1985).
Fiber Bundles and Kaluza-Klein Theory, A. Jadczyk, Preprint Uwr-85/642, May 1985. 14p. Lecture given at 21st Karpacz Winter School of Theoretical Physics, Karpacz, Poland, Feb 18 - Mar 2, 1985, in Karpacz Winter School 1985, p. 333 (Qc178:W45:1985).
Dimensional Reduction and Symmetries of an Extended Gravitation, A. Jadczyk, In *Karpacz 1983, Proceedings, Supersymmetry and Supergravity, p. 560-563.
Geometry of Gauge Fields in a Multidimensional Universe, K. Pilch, A. Jadczyk, Lett. Math. Phys. 8 (1984) p. 97-104.
Geometry of Multidimensional Universes, R. Coquereaux, A. Jadczyk, Commun. Math. Phys. 90 (1983) 79-100.
Conservation Laws and Stringlike Matter Distributions, A. Jadczyk, Ann. Inst. H. Poincarč 28 (1983) p. 99-111.
Classical Limit of the Canonical Anticommutation Relations and Selfduality of the Infinite Dimensional Grassmann Algebra, A. Jadczyk, K. Pilch, Preprint Wroclaw Univ. - No. 577 (83, Rec .Oct.) 14p. , in Quantum Theory of Particles and Fields, Birthday Vol. to J. Lopuszanski, World Scientific, Singapore 1983, p. 62-70.
Particles Motion In a Multidimensional Universe and Nonlinear Higgs Charges, A. Borowiec, A. Jadczyk, Preprint Wroclaw-598, Nov 1983.
Vanishing Vierbein, A. Jadczyk, Preprint, Gottingen, 1982,
Superspaces and Supersymmetries, A. Jadczyk, K. Pilch, Commun. Math. Phys. 78 (1981) p. 373-390.
Selfduality of the Infinite Dimensional Grassmann Algebra, A. Jadczyk, K. Pilch, Preprint Wroclaw-515, Sep 1980. 12p.
Conformal Structures and Connections, A. Jadczyk, in Aix-En-Provence 1979, Proceedings, Differential Geometrical Methods in Mathematical Physics, Springer, LNM 836, 202-210.
Electromagnetic Permeability of The Vacuum and Light Cone Structure, A. Jadczyk, Bull. Acad. Pol. Sci., Phys. Astron. 27 (1979) p. 91-94.
Some Comments on Higher Spin Gauge Fields, A. Jadczyk, Preprint Wroclaw-485, Nov 1979. 13p.
Frames for Superspace, A. Jadczyk, Preprint Wroclaw-486, Nov 1979.
Anticausal Currents for Massless Particles, A. Jadczyk, Preprint Wroclaw-491, Dec 1979. 11p.
States on Causal Logic, W. Cegla, A. Jadczyk, Lett. Math. Phys. 3 (1979) p. 109.
A Note on Conformal Field Equations, A. Jadczyk, Int. J. Theor. Phys. 18, (1979) p. 107-112.
Causal Logic of Minkowski Space, W. Cegla, A. Jadczyk, Commun. Math. Phys. 57 (1977) p. 213.
Relativistic Systems with a Conserved Probability Current, A. Borowiec, A. Jadczyk, Preprint Wroclaw-397, Jan 1977. 22p.
Magnetic Charge Quantization and Generalized Imprimitivity Systems, A. Jadczyk, Intern. J. Theor. Phys. 14 (1976) p. 183-192.
Logics Generated by Causality Structures. Covariant Representations of the Galilean Logic, W. Cegla, A. Jadczyk, Preprint Wroclaw-309, 1975. 16p.
On a Theorem of Mackey, Stone and Von Neumann for Projective Imprimitivity Systems, A. Jadczyk, Preprint Wroclaw-328, Apr 1975. 13p.
Note on Canonical Commutation Relations, A. Jadczyk, Bull. Acad. Polon. Sci. 22 (1974) , p. 963.
Maximal Localizability of Photons, A. Jadczyk, B. Jancewicz, Bull. Acad. Polon. Sci. 21 (1973) p. 477-483.
Extensions of Projective Representations to Unitary Group Representations, A. Jadczyk, Bull. Acad. Polon. Sci. (1972) 21 p 581-583.
A Note on Scale Transformation, A. Jadczyk, Bull. Acad. Polon. Sci. 20 (1972) p. 683-687.
Geometry of Indefinite Metric Spaces, A. Jadczyk, Rep. Math. Phys. 2 (1971) p. 263-276.
Quantum Logic and Indefinite Metric Spaces, A. Jadczyk, Rep. Math. Phys. 1 (1971) p. 285-296.
On Some Groups of Automorphisms of Von Neumann Algebras with Cyclic and Separating Vector, A. Jadczyk, Commun. Math. Phys. 13 (1969) p. 142-153.
On the Spectrum of Internal Symmetries in Quantum Field Theory, A. Jadczyk, Commun. Math. Phys. 12 (1969) p. 58-63.


A. Jadczyk, Quantum Fractals, From Heisenberg's Uncertainty to Barnsley's Fractality, World Scientific, Singapore, 2014
A. Jadczyk, (Ed.) Fields And Geometry, (book) Proceedings of the 22nd Winter School and Workshop of Theoretical Physics, Karpacz, Poland, World Scientific, 1986,
R. Coquereaux, A. Jadczyk, Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories And All That .. , (book) World Scientific, Singapore (1988) 345 p. (World Scientific Lecture Notes in Physics, 16),
Ph. Blanchard, A. Jadczyk, [Ed.], Quantum Future. From Volta and Como to the Present and Beyond, Proceeding of the Xth Max Born Symposium, Przesieka, Poland, 24-27 September 1997, Springer, Berlin-Heidelberg-New York, 1999 (Lecture Notes In Physics 517),


Online pedagogical texts

Continuous Cayley Transform

Ark 2015-11-10