Meljanac, Stjepan; Škoda, Zoran; Krešić-Jurić, Saša Symmetric ordering and Weyl realizations for quantum Minkowski spaces. (English) Zbl 1509.81531 J. Math. Phys. 63, No. 12, Article ID 123508, 15 p. (2022). MSC: 81R60 81R50 17B37 53D55 83C65 PDFBibTeX XMLCite \textit{S. Meljanac} et al., J. Math. Phys. 63, No. 12, Article ID 123508, 15 p. (2022; Zbl 1509.81531) Full Text: DOI arXiv
Littlejohn, Robert; Morrison, Philip; Heninger, Jeffrey Charged particle motion in spherically symmetric distributions of magnetic monopoles. (English) Zbl 1508.78006 J. Math. Phys. 63, No. 11, Article ID 112703, 11 p. (2022). MSC: 78A35 35Q83 81S10 53D55 35S30 PDFBibTeX XMLCite \textit{R. Littlejohn} et al., J. Math. Phys. 63, No. 11, Article ID 112703, 11 p. (2022; Zbl 1508.78006) Full Text: DOI arXiv
Biswas, Indranil Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure. (English) Zbl 1503.53163 J. Math. Phys. 62, No. 9, Article ID 093508, 10 p. (2021). Reviewer: Gabriele Rembado (Bonn) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{I. Biswas}, J. Math. Phys. 62, No. 9, Article ID 093508, 10 p. (2021; Zbl 1503.53163) Full Text: DOI arXiv
Domański, Ziemowit Deformation quantization on the cotangent bundle of a Lie group. (English) Zbl 1461.81059 J. Math. Phys. 62, No. 3, Article ID 033504, 32 p. (2021). MSC: 81S10 53D55 14L10 46A04 46L05 17B81 58A30 PDFBibTeX XMLCite \textit{Z. Domański}, J. Math. Phys. 62, No. 3, Article ID 033504, 32 p. (2021; Zbl 1461.81059) Full Text: DOI arXiv
Santos, Jonas F. G. Heat flow and noncommutative quantum mechanics in phase-space. (English) Zbl 1454.81125 J. Math. Phys. 61, No. 12, 122101, 10 p. (2020). MSC: 81S30 81P45 81P68 82B30 80A19 81S05 53D55 PDFBibTeX XMLCite \textit{J. F. G. Santos}, J. Math. Phys. 61, No. 12, 122101, 10 p. (2020; Zbl 1454.81125) Full Text: DOI arXiv
van de Ven, Christiaan J. F. The classical limit of mean-field quantum spin systems. (English) Zbl 1462.82010 J. Math. Phys. 61, No. 12, 121901, 16 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 82B10 81R40 53D55 PDFBibTeX XMLCite \textit{C. J. F. van de Ven}, J. Math. Phys. 61, No. 12, 121901, 16 p. (2020; Zbl 1462.82010) Full Text: DOI arXiv
Dimitrijević Ćirić, Marija; Giotopoulos, Grigorios; Radovanović, Voja; Szabo, Richard J. \(L_\infty\)-algebras of Einstein-Cartan-Palatini gravity. (English) Zbl 1455.83021 J. Math. Phys. 61, No. 11, 112502, 65 p. (2020). MSC: 83D05 83C05 83C40 83C45 83C65 83E15 83E50 83E30 81R10 81T33 81V17 58J28 53Z05 PDFBibTeX XMLCite \textit{M. Dimitrijević Ćirić} et al., J. Math. Phys. 61, No. 11, 112502, 65 p. (2020; Zbl 1455.83021) Full Text: DOI arXiv
Gohara, Jumpei; Hirota, Yuji; Sako, Akifumi Categorical perspective on quantization of Poisson algebra. (English) Zbl 1454.81121 J. Math. Phys. 61, No. 7, 073506, 19 p. (2020). MSC: 81S10 53D55 18C10 PDFBibTeX XMLCite \textit{J. Gohara} et al., J. Math. Phys. 61, No. 7, 073506, 19 p. (2020; Zbl 1454.81121) Full Text: DOI arXiv
Cutimanco, Miguel; Shramchenko, Vasilisa Explicit examples of Hurwitz Frobenius manifolds in genus one. (English) Zbl 1434.53094 J. Math. Phys. 61, No. 1, 013501, 20 p. (2020). MSC: 53D45 14D15 14H52 14H15 83E30 83C45 PDFBibTeX XMLCite \textit{M. Cutimanco} and \textit{V. Shramchenko}, J. Math. Phys. 61, No. 1, 013501, 20 p. (2020; Zbl 1434.53094) Full Text: DOI
Tosiek, J.; Dobrski, M. Formal series of generalized functions and their application to deformation quantization. (English) Zbl 1427.81060 J. Math. Phys. 60, No. 10, 102106, 17 p. (2019). MSC: 81S10 53D55 16W60 40A30 30G30 PDFBibTeX XMLCite \textit{J. Tosiek} and \textit{M. Dobrski}, J. Math. Phys. 60, No. 10, 102106, 17 p. (2019; Zbl 1427.81060) Full Text: DOI arXiv
Chacón, Erick; García-Compeán, Hugo Self-dual gravity via Hitchin’s equations. (English) Zbl 1419.83048 J. Math. Phys. 60, No. 5, 052502, 19 p. (2019). MSC: 83D05 83C15 81R12 70S15 53Z05 83C45 83C80 35Q55 34M55 PDFBibTeX XMLCite \textit{E. Chacón} and \textit{H. García-Compeán}, J. Math. Phys. 60, No. 5, 052502, 19 p. (2019; Zbl 1419.83048) Full Text: DOI arXiv
Valenzuela, Mauricio From phase space to multivector matrix models. (English) Zbl 1394.81153 J. Math. Phys. 59, No. 6, 062302, 31 p. (2018). Reviewer: Akira Asada (Takarazuka) MSC: 81T20 81R25 83C60 81T13 81V17 81S30 83C47 83F05 53D55 94A17 14D21 PDFBibTeX XMLCite \textit{M. Valenzuela}, J. Math. Phys. 59, No. 6, 062302, 31 p. (2018; Zbl 1394.81153) Full Text: DOI arXiv HAL
Odzijewicz, A.; Wawreniuk, E. Integrability and correspondence of classical and quantum non-linear three-mode systems. (English) Zbl 1386.81093 J. Math. Phys. 59, No. 4, 043504, 17 p. (2018). MSC: 81R12 81Q10 81R30 53D55 81S10 81V55 81V80 78A60 34C15 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, J. Math. Phys. 59, No. 4, 043504, 17 p. (2018; Zbl 1386.81093) Full Text: DOI arXiv
De Andrade, M. A.; Neves, C. Noncommutative mapping from the symplectic formalism. (English) Zbl 1380.81170 J. Math. Phys. 59, No. 1, 012105, 14 p. (2018). MSC: 81R60 53D55 81S30 PDFBibTeX XMLCite \textit{M. A. De Andrade} and \textit{C. Neves}, J. Math. Phys. 59, No. 1, 012105, 14 p. (2018; Zbl 1380.81170) Full Text: DOI arXiv
Aguillón, Cesar A.; Much, Albert; Rosenbaum, Marcos; Vergara, J. David Noncommutative Riemannian geometry from quantum spacetime generated by twisted Poincaré group. (English) Zbl 1386.83095 J. Math. Phys. 58, No. 11, 112301, 27 p. (2017). MSC: 83C65 83C45 58B34 53C28 53D55 12H05 16D20 PDFBibTeX XMLCite \textit{C. A. Aguillón} et al., J. Math. Phys. 58, No. 11, 112301, 27 p. (2017; Zbl 1386.83095) Full Text: DOI
Much, Albert Curving flat space-time by deformation quantization? (English) Zbl 1370.81095 J. Math. Phys. 58, No. 7, 072303, 18 p. (2017). MSC: 81R60 83C65 83C05 83C20 81S10 53D55 PDFBibTeX XMLCite \textit{A. Much}, J. Math. Phys. 58, No. 7, 072303, 18 p. (2017; Zbl 1370.81095) Full Text: DOI arXiv
Braunss, G. Quantum dynamics in phase space: Moyal trajectories 3. (English) Zbl 1366.81216 J. Math. Phys. 58, No. 6, 062104, 10 p. (2017). MSC: 81S30 81Q10 53D55 PDFBibTeX XMLCite \textit{G. Braunss}, J. Math. Phys. 58, No. 6, 062104, 10 p. (2017; Zbl 1366.81216) Full Text: DOI
Agyo, S.; Lei, C.; Vourdas, A. The groupoid of bifractional transformations. (English) Zbl 1367.81096 J. Math. Phys. 58, No. 5, 052103, 16 p. (2017). MSC: 81S30 41A05 18B40 81R30 53D55 PDFBibTeX XMLCite \textit{S. Agyo} et al., J. Math. Phys. 58, No. 5, 052103, 16 p. (2017; Zbl 1367.81096) Full Text: DOI arXiv Link
Jiang, Jian-Jian; Chowdhury, S. Hasibul Hassan Deformation of noncommutative quantum mechanics. (English) Zbl 1347.81054 J. Math. Phys. 57, No. 9, 091703, 8 p. (2016). MSC: 81R60 81S10 53D55 35R03 22E70 PDFBibTeX XMLCite \textit{J.-J. Jiang} and \textit{S. H. H. Chowdhury}, J. Math. Phys. 57, No. 9, 091703, 8 p. (2016; Zbl 1347.81054) Full Text: DOI arXiv
Ligabò, Marilena Torus as phase space: Weyl quantization, dequantization, and Wigner formalism. (English) Zbl 1351.81066 J. Math. Phys. 57, No. 8, 082110, 25 p. (2016). Reviewer: Benjamin Cahen (Metz) MSC: 81S30 14M25 81S10 53D55 PDFBibTeX XMLCite \textit{M. Ligabò}, J. Math. Phys. 57, No. 8, 082110, 25 p. (2016; Zbl 1351.81066) Full Text: DOI arXiv
Stottmeister, Alexander; Thiemann, Thomas Coherent states, quantum gravity, and the Born-Oppenheimer approximation. II: Compact Lie groups. (English) Zbl 1381.81143 J. Math. Phys. 57, No. 7, 073501, 77 p. (2016). Reviewer: Horst-Heino von Borzeszkowski (Berlin) MSC: 81T70 22C05 53D55 PDFBibTeX XMLCite \textit{A. Stottmeister} and \textit{T. Thiemann}, J. Math. Phys. 57, No. 7, 073501, 77 p. (2016; Zbl 1381.81143) Full Text: DOI arXiv
Contreras, I.; Ercolessi, E.; Schiavina, M. On the geometry of mixed states and the Fisher information tensor. (English) Zbl 1346.81018 J. Math. Phys. 57, No. 6, 062209, 23 p. (2016). Reviewer: Benjamin Cahen (Metz) MSC: 81P16 94A17 81S10 53D55 PDFBibTeX XMLCite \textit{I. Contreras} et al., J. Math. Phys. 57, No. 6, 062209, 23 p. (2016; Zbl 1346.81018) Full Text: DOI arXiv
Tosiek, J.; Cordero, R.; Turrubiates, F. J. The Wentzel-Kramers-Brillouin approximation method applied to the Wigner function. (English) Zbl 1348.81241 J. Math. Phys. 57, No. 6, 062103, 23 p. (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81Q20 81Q10 81S30 81S10 53D55 PDFBibTeX XMLCite \textit{J. Tosiek} et al., J. Math. Phys. 57, No. 6, 062103, 23 p. (2016; Zbl 1348.81241) Full Text: DOI arXiv
Meljanac, Stjepan; Krešić-Jurić, Saša; Martinić, Tea The Weyl realizations of Lie algebras, and left-right duality. (English) Zbl 1342.58005 J. Math. Phys. 57, No. 5, 051704, 14 p. (2016). MSC: 58B34 11L15 53D55 11B68 PDFBibTeX XMLCite \textit{S. Meljanac} et al., J. Math. Phys. 57, No. 5, 051704, 14 p. (2016; Zbl 1342.58005) Full Text: DOI arXiv
Forger, Michael; Paulino, Daniel V. \(C^{\ast}\)-completions and the DFR-algebra. (English) Zbl 1361.81082 J. Math. Phys. 57, No. 2, 023517, 31 p. (2016). Reviewer: Luca Giorgetti (Roma) MSC: 81S10 46L52 46L65 46L05 81T05 53D55 83C65 81R60 PDFBibTeX XMLCite \textit{M. Forger} and \textit{D. V. Paulino}, J. Math. Phys. 57, No. 2, 023517, 31 p. (2016; Zbl 1361.81082) Full Text: DOI arXiv
Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi Gauge theories on noncommutative \(\mathbb{C} P^{N}\) and Bogomol’nyi-Prasad-Sommerfield-like equations. (English) Zbl 1333.81415 J. Math. Phys. 56, No. 11, 113506, 12 p. (2015). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81T75 81T13 30H20 53D55 81S10 81T70 81R60 32Q15 PDFBibTeX XMLCite \textit{A. Sako} et al., J. Math. Phys. 56, No. 11, 113506, 12 p. (2015; Zbl 1333.81415) Full Text: DOI arXiv
Wei, Zhaoting The noncommutative Poisson bracket and the deformation of the family algebras. (English) Zbl 1330.17025 J. Math. Phys. 56, No. 7, 071703, 21 p. (2015). MSC: 17B63 17B20 17B35 53D55 PDFBibTeX XMLCite \textit{Z. Wei}, J. Math. Phys. 56, No. 7, 071703, 21 p. (2015; Zbl 1330.17025) Full Text: DOI arXiv
Valtancoli, P. Path integral and noncommutative Poisson brackets. (English) Zbl 1317.81187 J. Math. Phys. 56, No. 6, 063501, 5 p. (2015). MSC: 81S40 81S10 53D55 70H03 70H05 81R60 PDFBibTeX XMLCite \textit{P. Valtancoli}, J. Math. Phys. 56, No. 6, 063501, 5 p. (2015; Zbl 1317.81187) Full Text: DOI arXiv
Mylonas, Dionysios; Schupp, Peter; Szabo, Richard J. Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics. (English) Zbl 1330.81135 J. Math. Phys. 55, No. 12, 122301, 30 p. (2014). MSC: 81S10 53D55 81T30 14D21 14D15 16T05 58A15 22E70 PDFBibTeX XMLCite \textit{D. Mylonas} et al., J. Math. Phys. 55, No. 12, 122301, 30 p. (2014; Zbl 1330.81135) Full Text: DOI arXiv
Dherin, Benoit; Mencattini, Igor Deformations of momentum maps and G-systems. (English) Zbl 1314.81118 J. Math. Phys. 55, No. 11, 111703, 21 p. (2014). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D55 53D20 70H33 22E70 PDFBibTeX XMLCite \textit{B. Dherin} and \textit{I. Mencattini}, J. Math. Phys. 55, No. 11, 111703, 21 p. (2014; Zbl 1314.81118) Full Text: DOI arXiv
Maeda, Yoshiaki; Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi Gauge theories in noncommutative homogeneous Kähler manifolds. (English) Zbl 1306.81304 J. Math. Phys. 55, No. 9, 092301, 17 p. (2014). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81T75 81T13 32Q15 81S10 53D55 PDFBibTeX XMLCite \textit{Y. Maeda} et al., J. Math. Phys. 55, No. 9, 092301, 17 p. (2014; Zbl 1306.81304) Full Text: DOI arXiv
Barron, Tatyana; Ma, Xiaonan; Marinescu, George; Pinsonnault, Martin Semi-classical properties of Berezin-Toeplitz operators with \(\mathcal{C}^k\)ck-symbol. (English) Zbl 1296.81039 J. Math. Phys. 55, No. 4, 042108, 25 p. (2014). Reviewer: Kehe Zhu (Albany) MSC: 81S10 47B35 53D55 81Q20 81Q10 PDFBibTeX XMLCite \textit{T. Barron} et al., J. Math. Phys. 55, No. 4, 042108, 25 p. (2014; Zbl 1296.81039) Full Text: DOI arXiv
Kupriyanov, V. G. Quantum mechanics with coordinate dependent noncommutativity. (English) Zbl 1339.81057 J. Math. Phys. 54, No. 11, 112105, 25 p. (2013). MSC: 81R60 81T75 53D17 53D55 81Q10 PDFBibTeX XMLCite \textit{V. G. Kupriyanov}, J. Math. Phys. 54, No. 11, 112105, 25 p. (2013; Zbl 1339.81057) Full Text: DOI arXiv
Mudrov, Andrey Non-Levi closed conjugacy classes of \(\mathrm{SO}_{q}(N)\). (English) Zbl 1290.81044 J. Math. Phys. 54, No. 8, 081701, 24 p. (2013). Reviewer: Jan E. Grabowski (Lancaster) MSC: 81R50 20G42 17B37 20E45 PDFBibTeX XMLCite \textit{A. Mudrov}, J. Math. Phys. 54, No. 8, 081701, 24 p. (2013; Zbl 1290.81044) Full Text: DOI arXiv
Guedes, Carlos; Oriti, Daniele; Raasakka, Matti Quantization maps, algebra representation, and non-commutative Fourier transform for Lie groups. (English) Zbl 1296.81041 J. Math. Phys. 54, No. 8, 083508, 31 p. (2013). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 81Q35 53D55 PDFBibTeX XMLCite \textit{C. Guedes} et al., J. Math. Phys. 54, No. 8, 083508, 31 p. (2013; Zbl 1296.81041) Full Text: DOI arXiv
Vacaru, Sergiu I. The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces. (English) Zbl 1287.83042 J. Math. Phys. 54, No. 7, 073511, 23 p. (2013). MSC: 83D05 83C45 81S10 53D55 53C60 32Q20 13D03 PDFBibTeX XMLCite \textit{S. I. Vacaru}, J. Math. Phys. 54, No. 7, 073511, 23 p. (2013; Zbl 1287.83042) Full Text: DOI arXiv
Varshovi, Amir Abbass Groenewold-Moyal product, \({\alpha}^*\)-cohomology, and classification of translation-invariant non-commutative structures. (English) Zbl 1286.81158 J. Math. Phys. 54, No. 7, 072301, 9 p. (2013). MSC: 81T75 53D55 53D45 PDFBibTeX XMLCite \textit{A. A. Varshovi}, J. Math. Phys. 54, No. 7, 072301, 9 p. (2013; Zbl 1286.81158) Full Text: DOI arXiv
Soloviev, M. A. Algebras with convergent star products and their representations in Hilbert spaces. (English) Zbl 1292.81085 J. Math. Phys. 54, No. 7, 073517, 16 p. (2013). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D55 81T75 17B15 PDFBibTeX XMLCite \textit{M. A. Soloviev}, J. Math. Phys. 54, No. 7, 073517, 16 p. (2013; Zbl 1292.81085) Full Text: DOI arXiv
Braunss, G. Quantum dynamics in phase space: Moyal trajectories 2. (English) Zbl 1280.81084 J. Math. Phys. 54, No. 1, 012105, 14 p. (2013). MSC: 81S30 53D55 81S10 37K10 83C15 81Q05 PDFBibTeX XMLCite \textit{G. Braunss}, J. Math. Phys. 54, No. 1, 012105, 14 p. (2013; Zbl 1280.81084) Full Text: DOI
Ydri, Badis; Bouchareb, Adel The fate of the Wilson-Fisher fixed point in non-commutative \(\phi^4\). (English) Zbl 1278.81127 J. Math. Phys. 53, No. 10, 102301, 14 p. (2012). MSC: 81T10 81T70 81S10 53D55 81T75 81T17 PDFBibTeX XMLCite \textit{B. Ydri} and \textit{A. Bouchareb}, J. Math. Phys. 53, No. 10, 102301, 14 p. (2012; Zbl 1278.81127) Full Text: DOI arXiv
Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi Explicit formulas for noncommutative deformations of \(\mathbb{C}{P^N}\) and \(\mathbb{C}{H^N}\). (English) Zbl 1276.81084 J. Math. Phys. 53, No. 7, 073502, 16 p. (2012). MSC: 81S10 53D55 46L65 32Q15 PDFBibTeX XMLCite \textit{A. Sako} et al., J. Math. Phys. 53, No. 7, 073502, 16 p. (2012; Zbl 1276.81084) Full Text: DOI arXiv
Osei, Prince K.; Schroers, Bernd J. On the semiduals of local isometry groups in three-dimensional gravity. (English) Zbl 1279.83008 J. Math. Phys. 53, No. 7, 073510, 26 p. (2012). MSC: 83C05 17B37 83C45 81R50 58J28 53Z05 PDFBibTeX XMLCite \textit{P. K. Osei} and \textit{B. J. Schroers}, J. Math. Phys. 53, No. 7, 073510, 26 p. (2012; Zbl 1279.83008) Full Text: DOI arXiv
Maeda, Yoshiaki; Sako, Akifumi Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction. (English) Zbl 1274.81148 J. Math. Phys. 53, No. 2, 022303, 24 p. (2012). MSC: 81S10 53D55 14D21 81Q05 81R60 35J08 PDFBibTeX XMLCite \textit{Y. Maeda} and \textit{A. Sako}, J. Math. Phys. 53, No. 2, 022303, 24 p. (2012; Zbl 1274.81148) Full Text: DOI arXiv
Paoletti, Roberto Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows. (English) Zbl 1274.81149 J. Math. Phys. 53, No. 2, 023501, 22 p. (2012). MSC: 81S10 53D55 35J15 35P05 35P20 PDFBibTeX XMLCite \textit{R. Paoletti}, J. Math. Phys. 53, No. 2, 023501, 22 p. (2012; Zbl 1274.81149) Full Text: DOI arXiv
Grosse, H.; Prešnajder, P.; Wang, Zhituo Quantum field theory on quantized Bergman domain. (English) Zbl 1273.81139 J. Math. Phys. 53, No. 1, 013508, 12 p. (2012). MSC: 81S10 81R30 53D55 81T75 PDFBibTeX XMLCite \textit{H. Grosse} et al., J. Math. Phys. 53, No. 1, 013508, 12 p. (2012; Zbl 1273.81139) Full Text: DOI arXiv
Soloviev, M. A. Moyal multiplier algebras of the test function spaces of type S. (English) Zbl 1317.46025 J. Math. Phys. 52, No. 6, 063502, 18 p. (2011). MSC: 46F05 53D55 81T75 PDFBibTeX XMLCite \textit{M. A. Soloviev}, J. Math. Phys. 52, No. 6, 063502, 18 p. (2011; Zbl 1317.46025) Full Text: DOI arXiv
Chaichian, M.; Mnatsakanova, M. N.; Nishijima, K.; Tureanu, A.; Vernov, Yu. S. Toward an axiomatic formulation of noncommutative quantum field theory. (English) Zbl 1315.81096 J. Math. Phys. 52, No. 3, 032303, 13 p. (2011). MSC: 81T75 81T05 53D55 14D21 81R05 PDFBibTeX XMLCite \textit{M. Chaichian} et al., J. Math. Phys. 52, No. 3, 032303, 13 p. (2011; Zbl 1315.81096) Full Text: DOI arXiv
Arnlind, Joakim; Makhlouf, Abdenacer; Silvestrov, Sergei Construction of \(n\)-Lie algebras and \(n\)-ary Hom-Nambu-Lie algebras. (English) Zbl 1273.17005 J. Math. Phys. 52, No. 12, 123502, 13 p. (2011). MSC: 17A42 20N15 17B63 53D55 37E40 81S10 PDFBibTeX XMLCite \textit{J. Arnlind} et al., J. Math. Phys. 52, No. 12, 123502, 13 p. (2011; Zbl 1273.17005) Full Text: DOI arXiv
DeBellis, Joshua; Sämann, Christian; Szabo, Richard J. Quantized Nambu-Poisson manifolds and \(n\)-Lie algebras. (English) Zbl 1314.81149 J. Math. Phys. 51, No. 12, 122303, 34 p. (2010). MSC: 81T75 81T70 81T30 53D17 17B63 58B34 53D55 PDFBibTeX XMLCite \textit{J. DeBellis} et al., J. Math. Phys. 51, No. 12, 122303, 34 p. (2010; Zbl 1314.81149) Full Text: DOI arXiv
Hounkonnou, Mahouton Norbert; Samary, Dine Ousmane Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties. (English) Zbl 1314.81112 J. Math. Phys. 51, No. 10, 102108, 11 p. (2010). MSC: 81R60 81Q05 81Q10 53D55 PDFBibTeX XMLCite \textit{M. N. Hounkonnou} and \textit{D. O. Samary}, J. Math. Phys. 51, No. 10, 102108, 11 p. (2010; Zbl 1314.81112) Full Text: DOI arXiv
Ma, Wen-Xiu An extended noncommutative KP hierarchy. (English) Zbl 1311.37046 J. Math. Phys. 51, No. 7, 073505, 19 p. (2010). MSC: 37K10 35Q53 35Q51 53D55 58B34 53D20 PDFBibTeX XMLCite \textit{W.-X. Ma}, J. Math. Phys. 51, No. 7, 073505, 19 p. (2010; Zbl 1311.37046) Full Text: DOI
Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno A deformation quantization theory for noncommutative quantum mechanics. (English) Zbl 1311.81158 J. Math. Phys. 51, No. 7, 072101, 12 p. (2010). MSC: 81S10 53D55 81R60 81S30 47A10 47N50 PDFBibTeX XMLCite \textit{N. C. Dias} et al., J. Math. Phys. 51, No. 7, 072101, 12 p. (2010; Zbl 1311.81158) Full Text: DOI arXiv
Beggs, E. J.; Majid, S. Quantization by cochain twists and nonassociative differentials. (English) Zbl 1310.81101 J. Math. Phys. 51, No. 5, 053522, 32 p. (2010). MSC: 81S10 53D55 53D40 18G35 81R50 17B37 81Q20 81Q05 PDFBibTeX XMLCite \textit{E. J. Beggs} and \textit{S. Majid}, J. Math. Phys. 51, No. 5, 053522, 32 p. (2010; Zbl 1310.81101) Full Text: DOI arXiv
Biswas, Indranil Quantization of a symplectic manifold associated to a manifold with projective structure. (English) Zbl 1298.53095 J. Math. Phys. 50, No. 7, 072101, 8 p. (2009). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{I. Biswas}, J. Math. Phys. 50, No. 7, 072101, 8 p. (2009; Zbl 1298.53095) Full Text: DOI
García-Compeán, Hugo; Martínez-Merino, Aldo A. On the Moyal deformation of Nahm equations in seven dimensions. (English) Zbl 1304.81105 J. Math. Phys. 50, No. 11, 113504, 14 p. (2009). MSC: 81S10 53D55 70S15 81T13 PDFBibTeX XMLCite \textit{H. García-Compeán} and \textit{A. A. Martínez-Merino}, J. Math. Phys. 50, No. 11, 113504, 14 p. (2009; Zbl 1304.81105) Full Text: DOI arXiv
Anastasiei, Mihai; Vacaru, Sergiu I. Fedosov quantization of Lagrange-Finsler and Hamilton-Cartan spaces and Einstein gravity lifts on (co) tangent bundles. (English) Zbl 1200.53082 J. Math. Phys. 50, No. 1, 013510, 23 p. (2009). MSC: 53D55 53C60 81S10 PDFBibTeX XMLCite \textit{M. Anastasiei} and \textit{S. I. Vacaru}, J. Math. Phys. 50, No. 1, 013510, 23 p. (2009; Zbl 1200.53082) Full Text: DOI arXiv
Ferrario, Andrea Poisson sigma model with branes and hyperelliptic Riemann surfaces. (English) Zbl 1152.81433 J. Math. Phys. 49, No. 9, 092301, 23 p. (2008). MSC: 81T45 14H45 53D55 PDFBibTeX XMLCite \textit{A. Ferrario}, J. Math. Phys. 49, No. 9, 092301, 23 p. (2008; Zbl 1152.81433) Full Text: DOI arXiv
Bastos, Catarina; Bertolami, Orfeu; Dias, Nuno Costa; Prata, João Nuno Weyl-Wigner formulation of noncommutative quantum mechanics. (English) Zbl 1152.81330 J. Math. Phys. 49, No. 7, 072101, 24 p. (2008). MSC: 81S30 53D55 81R60 81S10 PDFBibTeX XMLCite \textit{C. Bastos} et al., J. Math. Phys. 49, No. 7, 072101, 24 p. (2008; Zbl 1152.81330) Full Text: DOI arXiv
Vacaru, Sergiu I. Deformation quantization of almost Kähler models and Lagrange-Finsler spaces. (English) Zbl 1153.81445 J. Math. Phys. 48, No. 12, 123509, 14 p. (2007). MSC: 53D55 53C60 PDFBibTeX XMLCite \textit{S. I. Vacaru}, J. Math. Phys. 48, No. 12, 123509, 14 p. (2007; Zbl 1153.81445) Full Text: DOI arXiv
Maillard, Jean-Marie Explicit star products on orbits of nilpotent Lie groups with square integrable representations. (English) Zbl 1144.81385 J. Math. Phys. 48, No. 7, 073504, 15 p. (2007). MSC: 53D55 22E27 PDFBibTeX XMLCite \textit{J.-M. Maillard}, J. Math. Phys. 48, No. 7, 073504, 15 p. (2007; Zbl 1144.81385) Full Text: DOI
Gerstenhaber, Murray Least uncertainty principle in deformation quantization. (English) Zbl 1121.53063 J. Math. Phys. 48, No. 2, 022103, 15 p. (2007). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{M. Gerstenhaber}, J. Math. Phys. 48, No. 2, 022103, 15 p. (2007; Zbl 1121.53063) Full Text: DOI arXiv
Tillman, Philip; Sparling, George Observables of angular momentum as observables on the Fedosov quantized sphere. (English) Zbl 1111.81105 J. Math. Phys. 47, No. 5, 052102, 18 p. (2006). MSC: 81S10 53D55 81R05 PDFBibTeX XMLCite \textit{P. Tillman} and \textit{G. Sparling}, J. Math. Phys. 47, No. 5, 052102, 18 p. (2006; Zbl 1111.81105) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. BRST quantization of quasisymplectic manifolds and beyond. (English) Zbl 1111.53072 J. Math. Phys. 47, No. 4, 043508, 26 p. (2006). MSC: 53D55 53D17 81S10 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, J. Math. Phys. 47, No. 4, 043508, 26 p. (2006; Zbl 1111.53072) Full Text: DOI arXiv
Batalin, I.; Grigoriev, M.; Lyakhovich, S. Non-Abelian conversion and quantization of nonscalar second-class constraints. (English) Zbl 1110.53064 J. Math. Phys. 46, No. 7, 072301, 16 p. (2005). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{I. Batalin} et al., J. Math. Phys. 46, No. 7, 072301, 16 p. (2005; Zbl 1110.53064) Full Text: DOI arXiv
Dias, Nuno Costa; Prata, João Nuno Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics. (English) Zbl 1110.81126 J. Math. Phys. 46, No. 7, 072107, 18 p. (2005). MSC: 81S30 53D55 81S10 PDFBibTeX XMLCite \textit{N. C. Dias} and \textit{J. N. Prata}, J. Math. Phys. 46, No. 7, 072107, 18 p. (2005; Zbl 1110.81126) Full Text: DOI arXiv
Măntoiu, Marius; Purice, Radu Strict deformation quantization for a particle in a magnetic field. (English) Zbl 1110.81118 J. Math. Phys. 46, No. 5, 052105, 15 p. (2005). MSC: 81S10 46L65 46N50 53D55 PDFBibTeX XMLCite \textit{M. Măntoiu} and \textit{R. Purice}, J. Math. Phys. 46, No. 5, 052105, 15 p. (2005; Zbl 1110.81118) Full Text: DOI arXiv
Etayo, Fernando; Santamaria, Rafael; Vacaru, Sergiu I. Lagrange-Fedosov nonholonomic manifolds. (English) Zbl 1067.53075 J. Math. Phys. 46, No. 3, 032901, 17 p. (2005). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{F. Etayo} et al., J. Math. Phys. 46, No. 3, 032901, 17 p. (2005; Zbl 1067.53075) Full Text: DOI arXiv
Maldonado-Mercado, Cesar Deformation quantization in singular spaces. (English) Zbl 1071.53056 J. Math. Phys. 45, No. 10, 3983-3994 (2004). MSC: 53D55 17B37 81S10 PDFBibTeX XMLCite \textit{C. Maldonado-Mercado}, J. Math. Phys. 45, No. 10, 3983--3994 (2004; Zbl 1071.53056) Full Text: DOI arXiv
Bressler, Paul; Soibelman, Yan Homological mirror symmetry, deformation quantization and noncommutative geometry. (English) Zbl 1071.53053 J. Math. Phys. 45, No. 10, 3972-3982 (2004). MSC: 53D55 14J32 32Q25 PDFBibTeX XMLCite \textit{P. Bressler} and \textit{Y. Soibelman}, J. Math. Phys. 45, No. 10, 3972--3982 (2004; Zbl 1071.53053) Full Text: DOI arXiv Link
Bonneau, Philippe; Gerstenhaber, Murray; Giaquinto, Anthony; Sternheimer, Daniel Quantum groups and deformation quantization: explicit approaches and implicit aspects. (English) Zbl 1071.53052 J. Math. Phys. 45, No. 10, 3703-3741 (2004). MSC: 53D55 16W35 81R50 81S10 PDFBibTeX XMLCite \textit{P. Bonneau} et al., J. Math. Phys. 45, No. 10, 3703--3741 (2004; Zbl 1071.53052) Full Text: DOI
Măntoiu, Marius; Purice, Radu The magnetic Weyl calculus. (English) Zbl 1068.81043 J. Math. Phys. 45, No. 4, 1394-1417 (2004). MSC: 81S99 53D55 81Q99 PDFBibTeX XMLCite \textit{M. Măntoiu} and \textit{R. Purice}, J. Math. Phys. 45, No. 4, 1394--1417 (2004; Zbl 1068.81043) Full Text: DOI arXiv
Dias, Nuno Costa; Prata, João Nuno Time dependent transformations in deformation quantization. (English) Zbl 1070.81075 J. Math. Phys. 45, No. 3, 887-901 (2004). MSC: 81S10 53D55 PDFBibTeX XMLCite \textit{N. C. Dias} and \textit{J. N. Prata}, J. Math. Phys. 45, No. 3, 887--901 (2004; Zbl 1070.81075) Full Text: DOI arXiv
Blohmann, Christian Covariant realization of quantum spaces as star products by Drinfeld twists. (English) Zbl 1062.58008 J. Math. Phys. 44, No. 10, 4736-4755 (2003). MSC: 58B32 17B37 53D55 81R50 PDFBibTeX XMLCite \textit{C. Blohmann}, J. Math. Phys. 44, No. 10, 4736--4755 (2003; Zbl 1062.58008) Full Text: DOI arXiv Link
Fiorani, E.; Giachetta, G.; Sardanashvily, G. Geometric quantization of time-dependent completely integrable Hamiltonian systems. (English) Zbl 1060.53083 J. Math. Phys. 43, No. 10, 5013-5025 (2002). MSC: 53D55 37J35 PDFBibTeX XMLCite \textit{E. Fiorani} et al., J. Math. Phys. 43, No. 10, 5013--5025 (2002; Zbl 1060.53083) Full Text: DOI arXiv
Karasev, M. V.; Osborn, T. A. Symplectic areas, quantization, and dynamics in electromagnetic fields. (English) Zbl 1059.81097 J. Math. Phys. 43, No. 2, 756-788 (2002). MSC: 81S10 37N20 53D55 81V10 PDFBibTeX XMLCite \textit{M. V. Karasev} and \textit{T. A. Osborn}, J. Math. Phys. 43, No. 2, 756--788 (2002; Zbl 1059.81097) Full Text: DOI arXiv
Vaisman, Izu Fedosov quantization on symplectic ringed spaces. (English) Zbl 1059.53074 J. Math. Phys. 43, No. 1, 283-298 (2002). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{I. Vaisman}, J. Math. Phys. 43, No. 1, 283--298 (2002; Zbl 1059.53074) Full Text: DOI arXiv
Hatzinikitas, Agapitos; Smyrnakis, Ioannis The noncommutative harmonic oscillator in more than one dimension. (English) Zbl 1059.81096 J. Math. Phys. 43, No. 1, 113-125 (2002). MSC: 81S10 53D55 81S30 PDFBibTeX XMLCite \textit{A. Hatzinikitas} and \textit{I. Smyrnakis}, J. Math. Phys. 43, No. 1, 113--125 (2002; Zbl 1059.81096) Full Text: DOI arXiv
Boniver, F.; Mathonet, P. Maximal subalgebras of vector fields for equivariant quantizations. (English) Zbl 1032.17041 J. Math. Phys. 42, No. 2, 582-589 (2001). MSC: 17B66 53D55 81S10 PDFBibTeX XMLCite \textit{F. Boniver} and \textit{P. Mathonet}, J. Math. Phys. 42, No. 2, 582--589 (2001; Zbl 1032.17041) Full Text: DOI arXiv
Dias, Nuno Costa; Prata, João Nuno Generalized Weyl-Wigner map and Vey quantum mechanics. (English) Zbl 1019.81032 J. Math. Phys. 42, No. 12, 5565-5579 (2001). MSC: 81S30 81S10 53D55 PDFBibTeX XMLCite \textit{N. C. Dias} and \textit{J. N. Prata}, J. Math. Phys. 42, No. 12, 5565--5579 (2001; Zbl 1019.81032) Full Text: DOI arXiv
Zachos, Cosmas Geometrical evaluation of star products. (English) Zbl 0977.81050 J. Math. Phys. 41, No. 7, 5129-5134 (2000). MSC: 81S10 53D55 81S30 PDFBibTeX XMLCite \textit{C. Zachos}, J. Math. Phys. 41, No. 7, 5129--5134 (2000; Zbl 0977.81050) Full Text: DOI arXiv
Baker, L. M.; Fairlie, D. B. Moyal-Nahm equations. (English) Zbl 0952.53042 J. Math. Phys. 40, No. 6, 2539-2548 (1999). Reviewer: Samir Musayev (Baku) MSC: 53D55 53C07 81S30 81T13 PDFBibTeX XMLCite \textit{L. M. Baker} and \textit{D. B. Fairlie}, J. Math. Phys. 40, No. 6, 2539--2548 (1999; Zbl 0952.53042) Full Text: DOI arXiv
Lee, C.-W. H.; Rajeev, S. G. Poisson brackets of normal-ordered Wilson loops. (English) Zbl 1057.81540 J. Math. Phys. 40, No. 4, 1870-1890 (1999). MSC: 81T13 05C10 17B63 53D55 PDFBibTeX XMLCite \textit{C. W. H. Lee} and \textit{S. G. Rajeev}, J. Math. Phys. 40, No. 4, 1870--1890 (1999; Zbl 1057.81540) Full Text: DOI arXiv
Bandelloni, Giuseppe; Lazzarini, Serge Kodaira-Spencer deformation of complex structures and Lagrangian field theory. (English) Zbl 0934.32012 J. Math. Phys. 39, No. 7, 3619-3642 (1998). MSC: 32G81 81T70 81T10 PDFBibTeX XMLCite \textit{G. Bandelloni} and \textit{S. Lazzarini}, J. Math. Phys. 39, No. 7, 3619--3642 (1998; Zbl 0934.32012) Full Text: DOI arXiv
Emmrich, C.; Römer, H. Multicomponent Wentzel-Kramers-Brillouin approximation on arbitrary symplectic manifolds: a star product approach. (English) Zbl 0935.81021 J. Math. Phys. 39, No. 7, 3530-3546 (1998). MSC: 81Q20 81S10 53D55 81Q70 PDFBibTeX XMLCite \textit{C. Emmrich} and \textit{H. Römer}, J. Math. Phys. 39, No. 7, 3530--3546 (1998; Zbl 0935.81021) Full Text: DOI arXiv
Landsman, N. P. Strict quantization of coadjoint orbits. (English) Zbl 0986.81057 J. Math. Phys. 39, No. 12, 6372-6383 (1998). MSC: 81S10 22E70 46L60 53D55 81R15 81R30 46L65 PDFBibTeX XMLCite \textit{N. P. Landsman}, J. Math. Phys. 39, No. 12, 6372--6383 (1998; Zbl 0986.81057) Full Text: DOI arXiv
Dayi, Ömer F. \(q\)-deformed star products and Moyal brackets. (English) Zbl 0946.53048 J. Math. Phys. 39, No. 1, 489-496 (1998). MSC: 53D55 81R50 81S10 PDFBibTeX XMLCite \textit{Ö. F. Dayi}, J. Math. Phys. 39, No. 1, 489--496 (1998; Zbl 0946.53048) Full Text: DOI arXiv
Abdesselam, Boucif The twisted Heisenberg algebra \({\mathcal U}_{h,w}({\mathcal H}(4))\). (English) Zbl 0897.17015 J. Math. Phys. 38, No. 12, 6045-6060 (1997). MSC: 17B37 16W30 81R50 57M25 PDFBibTeX XMLCite \textit{B. Abdesselam}, J. Math. Phys. 38, No. 12, 6045--6060 (1997; Zbl 0897.17015) Full Text: DOI arXiv
Bordemann, M.; Brischle, M.; Emmrich, C.; Waldmann, S. Subalgebras with converging star products in deformation quantization: An algebraic construction for \(\mathbb{C} P^n\). (English) Zbl 0923.58024 J. Math. Phys. 37, No. 12, 6311-6323 (1996). Reviewer: G.Loupias (Montpellier) MSC: 53D50 81R10 81Q99 46L60 46N50 81S10 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Math. Phys. 37, No. 12, 6311--6323 (1996; Zbl 0923.58024) Full Text: DOI arXiv
Hamoui, Adnan; Lichnerowicz, André Geometry of the dynamical systems with time-dependent constraints and time-dependent Hamiltonian: An approach towards quantization. (English) Zbl 0585.70014 J. Math. Phys. 25, 923-931 (1984). Reviewer: D.Simms MSC: 70H05 81S05 37J99 53C15 53D50 PDFBibTeX XMLCite \textit{A. Hamoui} and \textit{A. Lichnerowicz}, J. Math. Phys. 25, 923--931 (1984; Zbl 0585.70014) Full Text: DOI
Arnal, D.; Cortet, J. C.; Molin, P.; Pinczon, G. Covariance and geometrical invariance in quantization. (English) Zbl 0515.22015 J. Math. Phys. 24, 276-283 (1983). MSC: 22E70 81R10 22E60 17B15 PDFBibTeX XMLCite \textit{D. Arnal} et al., J. Math. Phys. 24, 276--283 (1983; Zbl 0515.22015) Full Text: DOI
Bayen, F.; Frønsdal, Christian Quantization on the sphere. (English) Zbl 0534.70015 J. Math. Phys. 22, 1345-1349 (1981). MSC: 53D55 17B35 81S10 PDFBibTeX XMLCite \textit{F. Bayen} and \textit{C. Frønsdal}, J. Math. Phys. 22, 1345--1349 (1981; Zbl 0534.70015) Full Text: DOI