Verch, Rainer Wave equations with non-commutative space and time. (English) Zbl 1335.81126 Finster, Felix (ed.) et al., Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 – October 2, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-26900-9/hbk; 978-3-319-26902-3/ebook). 163-178 (2016). MSC: 81T75 35L10 35P25 81R60 58J50 PDFBibTeX XMLCite \textit{R. Verch}, in: Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 -- October 2, 2014. Cham: Birkhäuser/Springer. 163--178 (2016; Zbl 1335.81126) Full Text: DOI arXiv
Lechner, Gandalf; Verch, Rainer Linear hyperbolic PDEs with noncommutative time. (English) Zbl 1351.46072 J. Noncommut. Geom. 9, No. 3, 999-1040 (2015). MSC: 46N50 81T75 81T10 58J45 PDFBibTeX XMLCite \textit{G. Lechner} and \textit{R. Verch}, J. Noncommut. Geom. 9, No. 3, 999--1040 (2015; Zbl 1351.46072) Full Text: DOI arXiv
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer Wick rotation for quantum field theories on degenerate Moyal space(-time). (English) Zbl 1280.81136 J. Math. Phys. 54, No. 2, 022307, 21 p. (2013). MSC: 81T75 81R15 58B34 44A35 PDFBibTeX XMLCite \textit{H. Grosse} et al., J. Math. Phys. 54, No. 2, 022307, 21 p. (2013; Zbl 1280.81136) Full Text: DOI arXiv
Borris, Markus; Verch, Rainer Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering. (English) Zbl 1208.81189 Commun. Math. Phys. 293, No. 2, 399-448 (2010). Reviewer: Gert Roepstorff (Aachen) MSC: 81T75 81R60 81Q70 81S10 58B34 PDFBibTeX XMLCite \textit{M. Borris} and \textit{R. Verch}, Commun. Math. Phys. 293, No. 2, 399--448 (2010; Zbl 1208.81189) Full Text: DOI arXiv
Doplicher, Sergio (ed.); Paschke, Mario (ed.); Verch, Rainer (ed.); Zeidler, Eberhard (ed.) Report 48/2005: Noncommutative Geometry and Quantum Field Theory (Oktober 23rd – Oktober 29th, 2005). (English) Zbl 1110.81301 Oberwolfach Rep. 2, No. 4, 2705-2760 (2005). MSC: 81-06 58-06 00B05 81Txx 58B32 58B34 PDFBibTeX XMLCite \textit{S. Doplicher} (ed.) et al., Oberwolfach Rep. 2, No. 4, 2705--2760 (2005; Zbl 1110.81301) Full Text: DOI Link
Strohmaier, Alexander; Verch, Rainer; Wollenberg, Manfred Microlocal analysis of quantum fields on curved space-times: analytic wave front sets and Reeh-Schlieder theorems. (English) Zbl 1060.81050 J. Math. Phys. 43, No. 11, 5514-5530 (2002). MSC: 81T20 58J47 81T05 PDFBibTeX XMLCite \textit{A. Strohmaier} et al., J. Math. Phys. 43, No. 11, 5514--5530 (2002; Zbl 1060.81050) Full Text: DOI arXiv
Sahlmann, Hanno; Verch, Rainer Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime. (English) Zbl 1029.81053 Rev. Math. Phys. 13, No. 10, 1203-1246 (2001). MSC: 81T20 46N50 81T05 58J45 47L90 PDFBibTeX XMLCite \textit{H. Sahlmann} and \textit{R. Verch}, Rev. Math. Phys. 13, No. 10, 1203--1246 (2001; Zbl 1029.81053) Full Text: DOI arXiv
Verch, Rainer Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime. (English) Zbl 0897.53057 Rev. Math. Phys. 9, No. 5, 635-674 (1997). Reviewer: M.Keyl (Berlin) MSC: 53Z05 81T20 81T05 83C47 47N50 46L60 58J45 35Q40 PDFBibTeX XMLCite \textit{R. Verch}, Rev. Math. Phys. 9, No. 5, 635--674 (1997; Zbl 0897.53057) Full Text: DOI arXiv
Radzikowski, Marek J. [Verch, Rainer] A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch). (English) Zbl 0874.58079 Commun. Math. Phys. 180, No. 1, 1-22 (1996). Reviewer: M.Keyl (Berlin) MSC: 58J40 58J47 35Q40 81T20 83C47 81T05 PDFBibTeX XMLCite \textit{M. J. Radzikowski}, Commun. Math. Phys. 180, No. 1, 1--22 (1996; Zbl 0874.58079) Full Text: DOI
Verch, Rainer Antilocality and a Reeh-Schlieder theorem on manifolds. (English) Zbl 0798.58065 Lett. Math. Phys. 28, No. 2, 143-154 (1993). Reviewer: K.Furutani (Chiba-ken) MSC: 58J05 35J15 81T05 81T20 PDFBibTeX XMLCite \textit{R. Verch}, Lett. Math. Phys. 28, No. 2, 143--154 (1993; Zbl 0798.58065) Full Text: DOI