Schupp, Peter; Szabo, Richard J. An algebraic formulation of nonassociative quantum mechanics. (English) Zbl 07871252 J. Phys. A, Math. Theor. 57, No. 23, Article ID 235302, 37 p. (2024). MSC: 81-XX 17-XX PDFBibTeX XMLCite \textit{P. Schupp} and \textit{R. J. Szabo}, J. Phys. A, Math. Theor. 57, No. 23, Article ID 235302, 37 p. (2024; Zbl 07871252) Full Text: DOI arXiv
Okuda, Taika; Sako, Akifumi Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold. (English) Zbl 1531.32032 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350109, 39 p. (2023). MSC: 32Q15 46L87 53D55 81R60 PDFBibTeX XMLCite \textit{T. Okuda} and \textit{A. Sako}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350109, 39 p. (2023; Zbl 1531.32032) Full Text: DOI arXiv
Yaghmaie, Aboutorab Deformation quantization as an appropriate guide to ontic structure. (English) Zbl 1525.81009 Synthese 198, No. 11, 10793-10815 (2021). MSC: 81P05 03A10 81S10 PDFBibTeX XMLCite \textit{A. Yaghmaie}, Synthese 198, No. 11, 10793--10815 (2021; Zbl 1525.81009) Full Text: DOI
Gutt, Simone Group actions in deformation quantization. (English) Zbl 1469.53003 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 37-62 (2021). Reviewer: Béchir Dali (Bizerte) MSC: 53-02 53D55 53D20 PDFBibTeX XMLCite \textit{S. Gutt}, Banach Cent. Publ. 123, 37--62 (2021; Zbl 1469.53003) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Quantization of Kähler manifolds. (English) Zbl 1465.53091 J. Geom. Phys. 163, Article ID 104143, 13 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 58J20 81T15 81Q30 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Geom. Phys. 163, Article ID 104143, 13 p. (2021; Zbl 1465.53091) Full Text: DOI arXiv
Esposito, Chiara; Kraft, Andreas; Waldmann, Stefan BRST reduction of quantum algebras with \(^*\)-involutions. (English) Zbl 1462.81114 Commun. Math. Phys. 378, No. 2, 1391-1416 (2020). Reviewer: Andrea Galasso (Taipei) MSC: 81S10 53D55 81T70 53D45 46K10 46L60 46L65 17B37 17B56 PDFBibTeX XMLCite \textit{C. Esposito} et al., Commun. Math. Phys. 378, No. 2, 1391--1416 (2020; Zbl 1462.81114) Full Text: DOI arXiv
Fredenhagen, Klaus; Lindner, Falk Construction of KMS states in perturbative QFT and renormalized Hamiltonian dynamics. (English) Zbl 1305.82012 Commun. Math. Phys. 332, No. 3, 895-932 (2014); erratum ibid. 347, No. 2, 655-656 (2016). Reviewer: Gert Roepstorff (Aachen) MSC: 82B10 81T05 47N50 82B30 81R15 81T15 46L60 PDFBibTeX XMLCite \textit{K. Fredenhagen} and \textit{F. Lindner}, Commun. Math. Phys. 332, No. 3, 895--932 (2014; Zbl 1305.82012) Full Text: DOI arXiv
Varshovi, Amir Abbass \(\alpha^\ast\)-cohomology, and classification of translation-invariant non-commutative quantum field theories. (English) Zbl 1295.81126 J. Geom. Phys. 83, 53-68 (2014). MSC: 81T75 53D55 81R60 35J08 PDFBibTeX XMLCite \textit{A. A. Varshovi}, J. Geom. Phys. 83, 53--68 (2014; Zbl 1295.81126) Full Text: DOI arXiv
Wawrzycki, Jarosław Index theory and adiabatic limit in QFT. (English) Zbl 1274.81157 Int. J. Theor. Phys. 52, No. 8, 2910-2942 (2013). MSC: 81T10 PDFBibTeX XMLCite \textit{J. Wawrzycki}, Int. J. Theor. Phys. 52, No. 8, 2910--2942 (2013; Zbl 1274.81157) Full Text: DOI arXiv OA License
Błaszak, Maciej; Domański, Ziemowit Quantum trajectories. (English) Zbl 1266.81125 Phys. Lett., A 376, No. 47-48, 3593-3598 (2012). MSC: 81S30 81S10 81Q20 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Phys. Lett., A 376, No. 47--48, 3593--3598 (2012; Zbl 1266.81125) Full Text: DOI arXiv
Błaszak, Maciej; Domański, Ziemowit Phase space quantum mechanics. (English) Zbl 1247.81231 Ann. Phys. 327, No. 2, 167-211 (2012). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 81S30 53D55 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 327, No. 2, 167--211 (2012; Zbl 1247.81231) Full Text: DOI arXiv
Bostelmann, Henning; Fewster, Christopher J. Quantum inequalities from operator product expansions. (English) Zbl 1213.81130 Commun. Math. Phys. 292, No. 3, 761-795 (2009). MSC: 81Q10 81T05 47B65 PDFBibTeX XMLCite \textit{H. Bostelmann} and \textit{C. J. Fewster}, Commun. Math. Phys. 292, No. 3, 761--795 (2009; Zbl 1213.81130) Full Text: DOI arXiv
Beiser, Svea; Römer, Hartmann; Waldmann, Stefan Convergence of the Wick star product. (English) Zbl 1203.53089 Commun. Math. Phys. 272, No. 1, 25-52 (2007). MSC: 53D55 46L65 81R30 81S10 PDFBibTeX XMLCite \textit{S. Beiser} et al., Commun. Math. Phys. 272, No. 1, 25--52 (2007; Zbl 1203.53089) Full Text: DOI arXiv
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDFBibTeX XMLCite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan Hermitian star products are completely positive deformations. (English) Zbl 1081.53078 Lett. Math. Phys. 72, No. 2, 143-152 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{H. Bursztyn} and \textit{S. Waldmann}, Lett. Math. Phys. 72, No. 2, 143--152 (2005; Zbl 1081.53078) Full Text: DOI arXiv
Gadella, M.; Del Olmo, M. A.; Tosiek, J. Geometrical origin of the \(\ast\)-product in the Fedosov formalism. (English) Zbl 1079.53038 J. Geom. Phys. 55, No. 3, 316-352 (2005). Reviewer: Maido Rahula (Tartu) MSC: 53C07 53D55 PDFBibTeX XMLCite \textit{M. Gadella} et al., J. Geom. Phys. 55, No. 3, 316--352 (2005; Zbl 1079.53038) Full Text: DOI arXiv
Waldmann, Stefan The Picard groupoid in deformation quantization. (English) Zbl 1065.53070 Lett. Math. Phys. 69, Spec. Iss., 223-235 (2004). Reviewer: Mircea Puta (Timişoara) MSC: 53D55 PDFBibTeX XMLCite \textit{S. Waldmann}, Lett. Math. Phys. 69, 223--235 (2004; Zbl 1065.53070) Full Text: DOI arXiv
Bieliavsky, Pierre; Gutt, Simone; Bordemann, Martin; Waldmann, Stefan Traces for star products on the dual of a Lie algebra. (English) Zbl 1129.53305 Rev. Math. Phys. 15, No. 5, 425-445 (2003). MSC: 53D55 17B37 17B63 PDFBibTeX XMLCite \textit{P. Bieliavsky} et al., Rev. Math. Phys. 15, No. 5, 425--445 (2003; Zbl 1129.53305) Full Text: DOI arXiv
Neumaier, Nikolai Universality of Fedosov’s construction for star products of Wick type on pseudo-Kähler manifolds. (English) Zbl 1046.53058 Rep. Math. Phys. 52, No. 1, 43-80 (2003). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53C55 PDFBibTeX XMLCite \textit{N. Neumaier}, Rep. Math. Phys. 52, No. 1, 43--80 (2003; Zbl 1046.53058) Full Text: DOI arXiv
Hirshfeld, Allen C.; Henselder, Peter Star products and quantum groups in quantum mechanics and field theory. (English) Zbl 1044.81070 Ann. Phys. 308, No. 1, 311-328 (2003). MSC: 81S10 53D55 81R50 17B37 16W30 PDFBibTeX XMLCite \textit{A. C. Hirshfeld} and \textit{P. Henselder}, Ann. Phys. 308, No. 1, 311--328 (2003; Zbl 1044.81070) Full Text: DOI
Bordemann, Martin; Neumaier, Nikolai; Pflaum, Markus J.; Waldmann, Stefan On representations of star product algebras over cotangent spaces on Hermitian line bundles. (English) Zbl 1038.53087 J. Funct. Anal. 199, No. 1, 1-47 (2003). Reviewer: Mingliang Cai (Coral Gables) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Funct. Anal. 199, No. 1, 1--47 (2003; Zbl 1038.53087) Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan \(*\)-ideals and formal Morita equivalence of \(*\)-algebras. (English) Zbl 1111.46303 Int. J. Math. 12, No. 5, 555-577 (2001). MSC: 46K05 46L08 46L99 PDFBibTeX XMLCite \textit{H. Bursztyn} and \textit{S. Waldmann}, Int. J. Math. 12, No. 5, 555--577 (2001; Zbl 1111.46303) Full Text: DOI arXiv
Waldmann, Stefan A remark on the deformation of GNS representations of *-algebras. (English) Zbl 1016.46034 Rep. Math. Phys. 48, No. 3, 389-396 (2001). Reviewer: Karl-Hermann Neeb (Darmstadt) MSC: 46K05 81S10 46L05 PDFBibTeX XMLCite \textit{S. Waldmann}, Rep. Math. Phys. 48, No. 3, 389--396 (2001; Zbl 1016.46034) Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. (English) Zbl 1039.46052 J. Geom. Phys. 37, No. 4, 307-364 (2001). Reviewer: Jan Hamhalter (Praha) MSC: 46L55 53D55 16D90 22D30 PDFBibTeX XMLCite \textit{H. Bursztyn} and \textit{S. Waldmann}, J. Geom. Phys. 37, No. 4, 307--364 (2001; Zbl 1039.46052) Full Text: DOI arXiv
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan KMS states and star product quantization. (English) Zbl 0964.81045 Rep. Math. Phys. 44, No. 1-2, 45-52 (1999). MSC: 81S10 53D55 PDFBibTeX XMLCite \textit{M. Bordemann} et al., Rep. Math. Phys. 44, No. 1--2, 45--52 (1999; Zbl 0964.81045) Full Text: DOI
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications. (English) Zbl 0989.53060 J. Geom. Phys. 29, No. 3, 199-234 (1999). MSC: 53D55 81S10 37J05 81Q20 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Geom. Phys. 29, No. 3, 199--234 (1999; Zbl 0989.53060) Full Text: DOI arXiv