Georgescu, Vladimir; Iftimovici, Andrei On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it. (English) Zbl 1517.46051 J. Funct. Anal. 284, No. 8, Article ID 109867, 73 p. (2023). MSC: 46L60 47A10 47L90 81Q10 81S05 81S30 PDFBibTeX XMLCite \textit{V. Georgescu} and \textit{A. Iftimovici}, J. Funct. Anal. 284, No. 8, Article ID 109867, 73 p. (2023; Zbl 1517.46051) Full Text: DOI arXiv
Huo, Qinghai; Ren, Guangbin Para-linearity as the nonassociative counterpart of linearity. (English) Zbl 1518.46050 J. Geom. Anal. 32, No. 12, Paper No. 304, 30 p. (2022). Reviewer: Sergey Ludkovsky (Moskva) MSC: 46S05 46C05 17A35 PDFBibTeX XMLCite \textit{Q. Huo} and \textit{G. Ren}, J. Geom. Anal. 32, No. 12, Paper No. 304, 30 p. (2022; Zbl 1518.46050) Full Text: DOI arXiv
Mizutani, Haruya Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials. (English) Zbl 1454.81238 J. Math. Phys. 61, No. 9, 091505, 21 p. (2020). MSC: 81U05 81Q05 46E36 35B25 81U20 81U40 35B38 PDFBibTeX XMLCite \textit{H. Mizutani}, J. Math. Phys. 61, No. 9, 091505, 21 p. (2020; Zbl 1454.81238) Full Text: DOI arXiv
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029 J. Math. Phys. 61, No. 4, 041504, 35 p. (2020). MSC: 81Q05 81Q10 35Q55 35Q41 35C08 46E39 93B18 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. II. (English) Zbl 1472.81094 Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019; Zbl 1472.81094) Full Text: DOI arXiv
Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef On the flows associated to selfadjoint operators on metric measure spaces. (English) Zbl 1430.42029 Math. Ann. 375, No. 3-4, 1393-1426 (2019). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42B37 47D08 46E35 PDFBibTeX XMLCite \textit{T. A. Bui} et al., Math. Ann. 375, No. 3--4, 1393--1426 (2019; Zbl 1430.42029) Full Text: DOI Link
Barbaroux, Jean-Marie; Faupin, Jérémy; Guillot, Jean-Claude Local decay for weak interactions with massless particles. (English) Zbl 1508.81861 J. Spectr. Theory 9, No. 2, 453-512 (2019). MSC: 81Q80 81V22 47A10 81V73 81V15 81Q10 30H20 46N50 PDFBibTeX XMLCite \textit{J.-M. Barbaroux} et al., J. Spectr. Theory 9, No. 2, 453--512 (2019; Zbl 1508.81861) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Dybalski, Wojciech Asymptotic observables in gapped quantum spin systems. (English) Zbl 1386.81112 Commun. Math. Phys. 357, No. 1, 231-248 (2018). MSC: 81T05 81U20 82B20 46L60 PDFBibTeX XMLCite \textit{W. Dybalski}, Commun. Math. Phys. 357, No. 1, 231--248 (2018; Zbl 1386.81112) Full Text: DOI arXiv
Bachmann, Sven; Dybalski, Wojciech; Naaijkens, Pieter Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems. (English) Zbl 1344.81115 Ann. Henri Poincaré 17, No. 7, 1737-1791 (2016). MSC: 81T05 81U05 46L60 82B20 46L30 81U20 PDFBibTeX XMLCite \textit{S. Bachmann} et al., Ann. Henri Poincaré 17, No. 7, 1737--1791 (2016; Zbl 1344.81115) Full Text: DOI arXiv
Nicola, Fabio Convergence in \(L^{p}\) for Feynman path integrals. (English) Zbl 1336.81034 Adv. Math. 294, 384-409 (2016). MSC: 81Q05 81Q30 35S30 42B20 46E35 35Q41 PDFBibTeX XMLCite \textit{F. Nicola}, Adv. Math. 294, 384--409 (2016; Zbl 1336.81034) Full Text: DOI arXiv
Falconi, Marco Self-adjointness criterion for operators in Fock spaces. (English) Zbl 1337.47033 Math. Phys. Anal. Geom. 18, No. 1, Article ID 2, 18 p. (2015). MSC: 47B25 81T10 46N50 47A80 PDFBibTeX XMLCite \textit{M. Falconi}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 2, 18 p. (2015; Zbl 1337.47033) Full Text: DOI arXiv
Dybalski, Wojciech; Gérard, Christian A criterion for asymptotic completeness in local relativistic QFT. (English) Zbl 1309.81125 Commun. Math. Phys. 332, No. 3, 1167-1202 (2014). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 81T05 81R15 46L60 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{C. Gérard}, Commun. Math. Phys. 332, No. 3, 1167--1202 (2014; Zbl 1309.81125) Full Text: DOI arXiv Link
Dybalski, Wojciech; Gérard, Christian Towards asymptotic completeness of two-particle scattering in local relativistic QFT. (English) Zbl 1288.81067 Commun. Math. Phys. 326, No. 1, 81-109 (2014). Reviewer: Franco Strocchi (Pisa) MSC: 81T05 81T10 81U05 46L60 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{C. Gérard}, Commun. Math. Phys. 326, No. 1, 81--109 (2014; Zbl 1288.81067) Full Text: DOI arXiv
Baumgartner, Bernhard; Narnhofer, Heide The structures of state space concerning quantum dynamical semigroups. (English) Zbl 1258.81056 Rev. Math. Phys. 24, No. 2, 1250001, 30 p. (2012). Reviewer: Michael Skeide (Campobasso) MSC: 81S22 46L55 46L53 46L57 PDFBibTeX XMLCite \textit{B. Baumgartner} and \textit{H. Narnhofer}, Rev. Math. Phys. 24, No. 2, 1250001, 30 p. (2012; Zbl 1258.81056) Full Text: DOI arXiv
Gérard, Christian Scattering theory for Klein-Gordon equations with non-positive energy. (English) Zbl 1253.81049 Ann. Henri Poincaré 13, No. 4, 883-941 (2012). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 47A40 35P25 81U05 81U20 46C20 PDFBibTeX XMLCite \textit{C. Gérard}, Ann. Henri Poincaré 13, No. 4, 883--941 (2012; Zbl 1253.81049) Full Text: DOI arXiv
Dybalski, Wojciech Continuous spectrum of automorphism groups and the infraparticle problem. (English) Zbl 1203.46040 Commun. Math. Phys. 300, No. 1, 273-299 (2010). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 46L40 81R15 PDFBibTeX XMLCite \textit{W. Dybalski}, Commun. Math. Phys. 300, No. 1, 273--299 (2010; Zbl 1203.46040) Full Text: DOI arXiv
Damak, Mondher; Georgescu, Vladimir On the spectral analysis of many-body systems. (English) Zbl 1208.46067 J. Funct. Anal. 259, No. 3, 618-689 (2010). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 46L60 81Q10 81R15 PDFBibTeX XMLCite \textit{M. Damak} and \textit{V. Georgescu}, J. Funct. Anal. 259, No. 3, 618--689 (2010; Zbl 1208.46067) Full Text: DOI arXiv
Mageira, Athina Graded \(C^*\)-algebras. (English) Zbl 1145.46035 J. Funct. Anal. 254, No. 6, 1683-1701 (2008). MSC: 46L05 PDFBibTeX XMLCite \textit{A. Mageira}, J. Funct. Anal. 254, No. 6, 1683--1701 (2008; Zbl 1145.46035) Full Text: DOI
Georgescu, Vladimir On the spectral analysis of quantum field Hamiltonians. (English) Zbl 1121.46055 J. Funct. Anal. 245, No. 1, 89-143 (2007). MSC: 46L60 81T05 47N50 PDFBibTeX XMLCite \textit{V. Georgescu}, J. Funct. Anal. 245, No. 1, 89--143 (2007; Zbl 1121.46055) Full Text: DOI arXiv
Dereziński, J. Asymptotic completeness in quantum field theory. A class of Galilei-covariant models. (English) Zbl 1079.81580 Rev. Math. Phys. 10, No. 2, 191-233 (1998). MSC: 81U10 46N50 47N50 81T05 PDFBibTeX XMLCite \textit{J. Dereziński}, Rev. Math. Phys. 10, No. 2, 191--233 (1998; Zbl 1079.81580) Full Text: DOI
Tian, Lixin; Liu, Zengrong The Schrödinger operator. (English) Zbl 0889.46023 Proc. Am. Math. Soc. 126, No. 1, 203-211 (1998). MSC: 46C50 47A20 47B44 81Q05 47B39 PDFBibTeX XMLCite \textit{L. Tian} and \textit{Z. Liu}, Proc. Am. Math. Soc. 126, No. 1, 203--211 (1998; Zbl 0889.46023) Full Text: DOI
Narnhofer, H.; Thirring, W. Mixing properties of quantum systems. (English) Zbl 0716.60133 J. Stat. Phys. 57, No. 3-4, 811-825 (1989). MSC: 60K40 46L89 82C99 PDFBibTeX XMLCite \textit{H. Narnhofer} and \textit{W. Thirring}, J. Stat. Phys. 57, No. 3--4, 811--825 (1989; Zbl 0716.60133) Full Text: DOI
Dereziński, Jan A new proof of the propagation theorem for N-body quantum systems. (English) Zbl 0677.47006 Commun. Math. Phys. 122, No. 2, 203-231 (1989). Reviewer: R.Alicki MSC: 47A40 46N99 81U10 47F05 PDFBibTeX XMLCite \textit{J. Dereziński}, Commun. Math. Phys. 122, No. 2, 203--231 (1989; Zbl 0677.47006) Full Text: DOI