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
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
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; 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; 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
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, 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, 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, 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