Kirichenko, Elena V.; Garbaczewski, Piotr; Stephanovich, Vladimir; żaba, Mariusz Ultrarelativistic (Cauchy) spectral problem in the infinite well. (English) Zbl 1371.42027 Acta Phys. Pol. B 47, No. 5, 1273-1291 (2016). MSC: 42B35 47A10 PDF BibTeX XML Cite \textit{E. V. Kirichenko} et al., Acta Phys. Pol. B 47, No. 5, 1273--1291 (2016; Zbl 1371.42027) Full Text: DOI
Żaba, Mariusz; Garbaczewski, Piotr Ultrarelativistic bound states in the spherical well. (English) Zbl 1342.81130 J. Math. Phys. 57, No. 7, 072302, 26 p. (2016). MSC: 81Q10 35P05 PDF BibTeX XML Cite \textit{M. Żaba} and \textit{P. Garbaczewski}, J. Math. Phys. 57, No. 7, 072302, 26 p. (2016; Zbl 1342.81130) Full Text: DOI arXiv
Garbaczewski, Piotr; żaba, Mariusz Nonlocally induced (quasirelativistic) bound states: harmonic confinement and the finite well. (English) Zbl 1371.35046 Acta Phys. Pol. B 46, No. 5, 949-981 (2015). MSC: 35J10 35P05 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{M. żaba}, Acta Phys. Pol. B 46, No. 5, 949--981 (2015; Zbl 1371.35046) Full Text: DOI arXiv
Garbaczewski, Piotr; żaba, Mariusz Nonlocal random motions and the trapping problem. (English) Zbl 1371.60081 Acta Phys. Pol. B 46, No. 2, 231-246 (2015). MSC: 60G51 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{M. żaba}, Acta Phys. Pol. B 46, No. 2, 231--246 (2015; Zbl 1371.60081) Full Text: DOI
Żaba, Mariusz; Garbaczewski, Piotr Nonlocally induced (fractional) bound states: shape analysis in the infinite Cauchy well. (English) Zbl 1332.34133 J. Math. Phys. 56, No. 12, 123502, 21 p. (2015). MSC: 34L10 34A08 34B10 34D15 34L40 PDF BibTeX XML Cite \textit{M. Żaba} and \textit{P. Garbaczewski}, J. Math. Phys. 56, No. 12, 123502, 21 p. (2015; Zbl 1332.34133) Full Text: DOI arXiv
Żaba, Mariusz; Garbaczewski, Piotr Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well. (English) Zbl 1304.81069 J. Math. Phys. 55, No. 9, 092103, 20 p. (2014). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q05 81Q10 35S05 35R11 PDF BibTeX XML Cite \textit{M. Żaba} and \textit{P. Garbaczewski}, J. Math. Phys. 55, No. 9, 092103, 20 p. (2014; Zbl 1304.81069) Full Text: DOI arXiv
Żaba, Mariusz; Garbaczewski, Piotr; Stephanovich, Vladimir Lévy flights in confining environments: random paths and their statistics. (English) Zbl 1395.82089 Physica A 392, No. 17, 3485-3496 (2013). MSC: 82B31 82B80 PDF BibTeX XML Cite \textit{M. Żaba} et al., Physica A 392, No. 17, 3485--3496 (2013; Zbl 1395.82089) Full Text: DOI
żaba, Mariusz; Garbaczewski, Piotr; Stephanovich, Vladimir Trajectory statistics of confined Lévy flights and Boltzmann-type equilibria. (English) Zbl 1371.60080 Acta Phys. Pol. B 44, No. 5, 1109-1122 (2013). MSC: 60G51 82C31 PDF BibTeX XML Cite \textit{M. żaba} et al., Acta Phys. Pol. B 44, No. 5, 1109--1122 (2013; Zbl 1371.60080) Full Text: DOI
Garbaczewski, Piotr; Stephanovich, Vladimir Lévy flights and nonlocal quantum dynamics. (English) Zbl 1284.81012 J. Math. Phys. 54, No. 7, 072103, 34 p. (2013). MSC: 81P05 60G51 35S05 81Q40 70H40 81V80 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{V. Stephanovich}, J. Math. Phys. 54, No. 7, 072103, 34 p. (2013; Zbl 1284.81012) Full Text: DOI arXiv
Garbaczewski, Piotr; Stephanovich, Vladimir Thermalization of random motion in weakly confining potentials. (English) Zbl 1203.82043 Open Syst. Inf. Dyn. 17, No. 3, 287-296 (2010). MSC: 82B30 82C35 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{V. Stephanovich}, Open Syst. Inf. Dyn. 17, No. 3, 287--296 (2010; Zbl 1203.82043) Full Text: DOI arXiv
Garbaczewski, Piotr Lévy flights, dynamical duality and fractional quantum mechanics. (English) Zbl 1371.81039 Acta Phys. Pol. B 40, No. 5, 1353-1368 (2009). MSC: 81P20 82C31 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Acta Phys. Pol. B 40, No. 5, 1353--1368 (2009; Zbl 1371.81039) Full Text: Link arXiv
Garbaczewski, Piotr Entropy and time: thermodynamics of diffusion processes. (English) Zbl 1371.82101 Acta Phys. Pol. B 39, No. 5, 1087-1101 (2008). MSC: 82C70 82C31 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Acta Phys. Pol. B 39, No. 5, 1087--1101 (2008; Zbl 1371.82101) Full Text: Link
Garbaczewski, Piotr Information dynamics in quantum theory. (English) Zbl 1139.81017 Appl. Math. Inf. Sci. 1, No. 1, 1-12 (2007). MSC: 81P68 94A17 81P05 80A05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Appl. Math. Inf. Sci. 1, No. 1, 1--12 (2007; Zbl 1139.81017)
Garbaczewski, Piotr Indeterminacy relations in random dynamics. (English) Zbl 1145.82017 Rep. Math. Phys. 60, No. 2, 289-297 (2007). Reviewer: Guy Jumarie (Montréal) MSC: 82C31 82C10 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Rep. Math. Phys. 60, No. 2, 289--297 (2007; Zbl 1145.82017) Full Text: DOI arXiv
Garbaczewski, Piotr Differential entropy and dynamics of uncertainty. (English) Zbl 1124.82014 J. Stat. Phys. 123, No. 2, 315-355 (2006). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 94A17 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Stat. Phys. 123, No. 2, 315--355 (2006; Zbl 1124.82014) Full Text: DOI
Garbaczewski, Piotr Differential entropy and time. (English) Zbl 1135.82312 Entropy 7, No. 4, 253-299 (2005). MSC: 82C03 94A17 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Entropy 7, No. 4, 253--299 (2005; Zbl 1135.82312) Full Text: DOI arXiv
Garbaczewski, Piotr Shannon versus Kullback-Leibler entropies in nonequilibrium random motion. (English) Zbl 1171.82318 Phys. Lett., A 341, No. 1-4, 33-38 (2005). MSC: 82C03 94A17 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Phys. Lett., A 341, No. 1--4, 33--38 (2005; Zbl 1171.82318) Full Text: DOI
Garbaczewski, Piotr A subtlety of the Schrödinger picture dynamics. (English) Zbl 1093.81022 Rep. Math. Phys. 56, No. 1, 153-160 (2005). Reviewer: Klaus Brod (Wiesbaden) MSC: 81Q05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Rep. Math. Phys. 56, No. 1, 153--160 (2005; Zbl 1093.81022) Full Text: DOI arXiv
Czopnik, Radosław; Garbaczewski, Piotr Frictionless random dynamics: Hydrodynamical formalism. (English) Zbl 1005.70014 Physica A 317, No. 3-4, 449-471 (2003). MSC: 70G10 60H30 82C40 PDF BibTeX XML Cite \textit{R. Czopnik} and \textit{P. Garbaczewski}, Physica A 317, No. 3--4, 449--471 (2003; Zbl 1005.70014) Full Text: DOI
Garbaczewski, Piotr (ed.); Olkiewicz, Robert (ed.) Dynamics of dissipation. Invited lectures delivered during the 38th Karpacz winter school of theoretical physics on “Dynamical semigroups: Dissipation, chaos, quanta”, Lądek Zdrój, Poland, February 6–15, 2002. (English) Zbl 1030.00047 Lecture Notes in Physics. 597. Berlin: Springer. x, 512 p. (2002). MSC: 00B25 81-06 82-06 37-06 PDF BibTeX XML Cite \textit{P. Garbaczewski} (ed.) and \textit{R. Olkiewicz} (ed.), Dynamics of dissipation. Invited lectures delivered during the 38th Karpacz winter school of theoretical physics on ``Dynamical semigroups: Dissipation, chaos, quanta'', Lądek Zdrój, Poland, February 6--15, 2002. Berlin: Springer (2002; Zbl 1030.00047)
Czopnik, Radosław; Garbaczewski, Piotr Quantum potential and random phase-space dynamics. (English) Zbl 0996.81006 Phys. Lett., A 299, No. 5-6, 447-453 (2002). MSC: 81P20 PDF BibTeX XML Cite \textit{R. Czopnik} and \textit{P. Garbaczewski}, Phys. Lett., A 299, No. 5--6, 447--453 (2002; Zbl 0996.81006) Full Text: DOI
Garbaczewski, Piotr Parametric dynamics of level spacings in quantum chaos. (English) Zbl 0983.81023 Phys. Lett., A 293, No. 1-2, 23-28 (2002). MSC: 81Q50 60K40 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Phys. Lett., A 293, No. 1--2, 23--28 (2002; Zbl 0983.81023) Full Text: DOI
Garbaczewski, Piotr; Olkiewicz, Robert Ornstein-Uhlenbeck-Cauchy process. (English) Zbl 1056.82009 J. Math. Phys. 41, No. 10, 6843-6860 (2000). MSC: 82C31 60G52 60H10 60J25 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 41, No. 10, 6843--6860 (2000; Zbl 1056.82009) Full Text: DOI arXiv
Garbaczewski, Piotr Stochastic modelling of nonlinear dynamical systems. (English) Zbl 1075.82523 Broomhead, David S. (ed.) et al., Stochastic and chaotic dynamics in The Lakes. Papers from the conference, STOCHAOS, Ambleside, UK, August 1999. Melville, NY: American Institute of Physics (ISBN 1-56396-915-7/hbk). AIP Conf. Proc. 502, 313-318 (2000). MSC: 82C05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, AIP Conf. Proc. 502, 313--318 (2000; Zbl 1075.82523)
Garbaczewski, Piotr Stochastic models of exotic transport. (English) Zbl 1059.82529 Physica A 285, No. 1-2, 187-198 (2000). MSC: 82C70 60K35 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Physica A 285, No. 1--2, 187--198 (2000; Zbl 1059.82529) Full Text: DOI
Garbaczewski, Piotr; Olkiewicz, Robert Cauchy noise and affiliated stochastic processes. (English) Zbl 0958.60070 J. Math. Phys. 40, No. 2, 1057-1073 (1999). Reviewer: A.V.Yakimov (Novgorod) MSC: 60J25 60J75 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 40, No. 2, 1057--1073 (1999; Zbl 0958.60070) Full Text: DOI arXiv
Garbaczewski, Piotr; Kondrat, Grzegorz; Olkiewicz, Robert Schrödinger’s interpolating dynamics and Burgers’ flows. (English) Zbl 0939.35201 Chaos Solitons Fractals 9, No. 1-2, 29-41 (1998). MSC: 35R60 35Q53 37L55 81Q50 PDF BibTeX XML Cite \textit{P. Garbaczewski} et al., Chaos Solitons Fractals 9, No. 1--2, 29--41 (1998; Zbl 0939.35201) Full Text: DOI
Garbaczewski, Piotr Probability and quanta: Why back to Nelson? (English) Zbl 0940.60092 Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 191-199 (1998). Reviewer: Robert Alicki (Gdansk) MSC: 60K40 82C31 81P20 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Banach Cent. Publ. 43, 191--199 (1998; Zbl 0940.60092) Full Text: EuDML
Blanchard, Philippe; Garbaczewski, Piotr; Olkiewicz, Robert Non-negative Feynman-Kac kernels in Schrödinger’s interpolation problem. (English) Zbl 0870.35046 J. Math. Phys. 38, No. 1, 1-15 (1997). MSC: 35K10 60J70 PDF BibTeX XML Cite \textit{P. Blanchard} et al., J. Math. Phys. 38, No. 1, 1--15 (1997; Zbl 0870.35046) Full Text: DOI
Garbaczewski, P. Schrödinger’s interpolation problem through Feynman-Kac kernels. (English) Zbl 0966.82512 Acta Phys. Pol. B 27, No. 3, 617-642 (1996). MSC: 82C31 60J60 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Acta Phys. Pol. B 27, No. 3, 617--642 (1996; Zbl 0966.82512)
Garbaczewski, Piotr; Olkiewicz, Robert Feynman-Kac kernels in Markovian representations of the Schrödinger interpolating dynamics. (English) Zbl 0869.60101 J. Math. Phys. 37, No. 2, 732-751 (1996). MSC: 60K40 82C31 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 37, No. 2, 732--751 (1996; Zbl 0869.60101) Full Text: DOI arXiv
Garbaczewski, P. The Ehrenfest theorem for Markov diffusions. (English) Zbl 0865.60097 Haba, Zbigniew (ed.) et al., Stochasticity and quantum chaos. Proceedings of the 3rd Max Born Symposium, Sobótka Castle, Poland, September 15-17, 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 317, 57-62 (1995). MSC: 60K35 82B05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, in: Stochasticity and quantum chaos. Proceedings of the 3rd Max Born Symposium, Sobótka Castle, Poland, September 15-17, 1993. Dordrecht: Kluwer Academic Publishers. 57--62 (1995; Zbl 0865.60097)
Garbaczewski, Piotr Lévy processes and relativistic quantum dynamics. (English) Zbl 0835.60095 Garbaczewski, Piotr (ed.) et al., Chaos: the interplay between stochastic and deterministic behaviour. Proceedings of the XXXIst winter school of theoretical physics held in Karpacz, Poland, 13-24 February 1995. Karpacz: Springer-Verlag. Lect. Notes Phys. 457, 75-86 (1995). MSC: 60K40 81S25 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Lect. Notes Phys. 457, 75--86 (1995; Zbl 0835.60095)
Garbaczewski, Piotr (ed.); Wolf, Marek (ed.); Weron, Aleksander (ed.) Chaos: the interplay between stochastic and deterministic behaviour. Proceedings of the XXXIst winter school of theoretical physics held in Karpacz, Poland, 13-24 February 1995. (English) Zbl 0826.00026 Lecture Notes in Physics. 457. Karpacz: Springer-Verlag. xii, 571 p. (1995). MSC: 00B25 58-06 00A79 PDF BibTeX XML Cite \textit{P. Garbaczewski} (ed.) et al., Chaos: the interplay between stochastic and deterministic behaviour. Proceedings of the XXXIst winter school of theoretical physics held in Karpacz, Poland, 13-24 February 1995. Karpacz: Springer-Verlag (1995; Zbl 0826.00026) Full Text: DOI
Garbaczewski, Piotr Stochastic aspects of the quantum dynamics. (English) Zbl 0980.81512 Antoine, J.-P. (ed.) et al., Quantization and infinite-dimensional systems. Proceedings of the 12th summer workshop on differential geometric methods in physics, Bialowieza, Poland, July 1-7, 1993. New York, NY: Plenum Press. 237-244 (1994). MSC: 81S20 81P20 82C31 PDF BibTeX XML Cite \textit{P. Garbaczewski}, in: Quantization and infinite-dimensional systems. Proceedings of the 12th summer workshop on differential geometric methods in physics, Bialowieza, Poland, July 1--7, 1993. New York, NY: Plenum Press. 237--244 (1994; Zbl 0980.81512)
Garbaczewski, Piotr Brownian motion and its conditional descendants. (English) Zbl 0942.81530 Emch, G. G. (ed.) et al., On Klauder’s path: a field trip. Essays in honor of John R. Klauder. Singapore: World Scientific. 63-69 (1994). MSC: 81P20 PDF BibTeX XML Cite \textit{P. Garbaczewski}, in: On Klauder's path: a field trip. Essays in honor of John R. Klauder. Singapore: World Scientific. 63--69 (1994; Zbl 0942.81530)
Garbaczewski, Piotr Drifts versus forces: The Ehrenfest theorem for Markovian diffusions. (English) Zbl 0959.82514 Phys. Lett., A 185, No. 2, 149-154 (1994). MSC: 82C31 81P20 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Phys. Lett., A 185, No. 2, 149--154 (1994; Zbl 0959.82514) Full Text: DOI
Garbaczewski, Piotr Rotational diffusions as seen by relativistic observers. (English) Zbl 0761.60077 J. Math. Phys. 33, No. 10, 3393-3401 (1992). MSC: 60K40 83B05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Math. Phys. 33, No. 10, 3393--3401 (1992; Zbl 0761.60077) Full Text: DOI
Garbaczewski, P. (ed.); Popowicz, Z. (ed.) Nonlinear fields: classical, random, semiclassical. Papers from the 27th Karpacz winter school on theoretical physics, Karpacz, Poland, February 18–March 1, 1991. (English) Zbl 0932.81004 Singapore: World Scientific. xx, 697 p. (1991). MSC: 81-06 00B25 PDF BibTeX XML Cite \textit{P. Garbaczewski} (ed.) and \textit{Z. Popowicz} (ed.), Nonlinear fields: classical, random, semiclassical. Papers from the 27th Karpacz winter school on theoretical physics, Karpacz, Poland, February 18--March 1, 1991. Singapore: World Scientific (1991; Zbl 0932.81004)
Garbaczewski, Piotr On the concepts of stochastic mechanics: Random versus deterministic paths. (English) Zbl 0818.60099 Kasprzak, Wacław (ed.) et al., Proceedings of the 1989 COSMEX meeting on stochastic methods in experimental sciences, held in Szklarska Poreba, Poland, 8-14 September, 1989. Singapore: World Scientific. 159-166 (1990). MSC: 60K40 81S40 PDF BibTeX XML Cite \textit{P. Garbaczewski}, in: Proceedings of the 1989 COSMEX meeting on stochastic methods in experimental sciences, held in Szklarska Poreba, Poland, 8-14 September, 1989. Singapore: World Scientific. 159--166 (1990; Zbl 0818.60099)
Garbaczewski, Piotr Canonical action-angle formalism for quantized nonlinear fields. (English) Zbl 1165.81339 Int. J. Mod. Phys. A 2, No. 1, 223-248 (1987). MSC: 81T10 81S10 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Int. J. Mod. Phys. A 2, No. 1, 223--248 (1987; Zbl 1165.81339) Full Text: DOI
Garbaczewski, Piotr Constituent quantization of soliton fields. I: Canonical action-angle formalism for the sine-Gordon system. II: Nonlinear Schrödinger system. (English) Zbl 0575.35086 Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 53, 23 p. (1985). Reviewer: A.Bocharov MSC: 35Q99 81T08 81R30 81U99 PDF BibTeX XML
Garbaczewski, P. Stochastic quantization of the Fermi oscillator: non-\(Z_ 2\) route. (English) Zbl 0569.60099 Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 62, 10 p. (1985). MSC: 60K35 81P20 PDF BibTeX XML
Garbaczewski, Piotr On quantum solitons and their classical relatives: Bethe Ansatz states in soliton sectors of the sine-Gordon system. (English) Zbl 0491.35074 Ann. Phys. 139, 293-313 (1982). MSC: 35Q99 81T08 81Q05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Ann. Phys. 139, 293--313 (1982; Zbl 0491.35074) Full Text: DOI
Garbaczewski, Piotr On quantum solitons and their classical relatives: II. ”Fermion-boson reciprocity” and classical vs quantum problem for the sine-Gordon system. (English) Zbl 0541.70030 J. Math. Phys. 22, 1272-1279 (1981). MSC: 70Sxx 81T17 82B20 70G99 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Math. Phys. 22, 1272--1279 (1981; Zbl 0541.70030) Full Text: DOI
Garbaczewski, Piotr On quantum solitons and their classical relatives: Spin 1/2 approximation of the sine-Gordon system. (English) Zbl 0466.70019 J. Math. Phys. 22, 574-580 (1981). MSC: 70G99 82B20 81T99 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Math. Phys. 22, 574--580 (1981; Zbl 0466.70019) Full Text: DOI
Garbaczewski, Piotr; Popowicz, Ziemowit Representations of the CAR generated by the representations of the CCR. III. Non-Fock extension. (English) Zbl 0354.46042 Rep. Math. Phys. 11, 73-80 (1977). MSC: 46L05 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{Z. Popowicz}, Rep. Math. Phys. 11, 73--80 (1977; Zbl 0354.46042) Full Text: DOI
Garbaczewski, P. Representations of the CAR generated by representations of the CCR. II. (English) Zbl 0322.46061 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 24, 201-205 (1976). MSC: 46L05 46N99 47D03 22D25 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 24, 201--205 (1976; Zbl 0322.46061)
Garbaczewski, Piotr Representations of the CAR generated by representations of the CCR. Fock case. (English) Zbl 0308.46054 Commun. Math. Phys. 43, 131-136 (1975). MSC: 46L05 46N99 47D03 22D25 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Commun. Math. Phys. 43, 131--136 (1975; Zbl 0308.46054) Full Text: DOI
Garbaczewski, Piotr; Rzewuski, Jan On generating functionals for antisymmetric functions and their application in quantum field theory. (English) Zbl 0325.46071 Rep. Math. Phys. 6, 431-444 (1974). MSC: 46N99 28C20 46L05 PDF BibTeX XML Cite \textit{P. Garbaczewski} and \textit{J. Rzewuski}, Rep. Math. Phys. 6, 431--444 (1974; Zbl 0325.46071) Full Text: DOI