Berceanu, Stefan Invariant metric on the extended Siegel-Jacobi upper half space. (English) Zbl 1462.32015 J. Geom. Phys. 162, Article ID 104049, 20 p. (2021). MSC: 32F45 53C55 53B21 81R30 PDF BibTeX XML Cite \textit{S. Berceanu}, J. Geom. Phys. 162, Article ID 104049, 20 p. (2021; Zbl 1462.32015) Full Text: DOI arXiv
Jadczyk, Arkadiusz Gravitation on a homogeneous domain. (English) Zbl 1255.83010 Adv. Appl. Clifford Algebr. 22, No. 4, 1069-1080 (2012). MSC: 83A05 15A66 81T20 83D05 53B35 PDF BibTeX XML Cite \textit{A. Jadczyk}, Adv. Appl. Clifford Algebr. 22, No. 4, 1069--1080 (2012; Zbl 1255.83010) Full Text: DOI arXiv Link
Karasev, M. V.; Novikova, E. M. Algebra and quantum geometry of multifrequency resonance. (English. Russian original) Zbl 1211.81080 Izv. Math. 74, No. 6, 1155-1204 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 6, 55-106 (2010). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 81S10 53C55 81Q05 81R05 81R30 32Q15 53B35 PDF BibTeX XML Cite \textit{M. V. Karasev} and \textit{E. M. Novikova}, Izv. Math. 74, No. 6, 1155--1204 (2010; Zbl 1211.81080); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 6, 55--106 (2010) Full Text: DOI
Cahen, Benjamin Berezin quantization on generalized flag manifolds. (English) Zbl 1183.22006 Math. Scand. 105, No. 1, 66-84 (2009). Reviewer: Stefan Berceanu (Bucureşti) MSC: 22E46 81S10 53B35 81R30 53D50 PDF BibTeX XML Cite \textit{B. Cahen}, Math. Scand. 105, No. 1, 66--84 (2009; Zbl 1183.22006) Full Text: DOI
Karasev, Mikhail Resonance gyrons and quantum geometry. (English) Zbl 1122.81055 Maeda, Yoshiaki (ed.) et al., From geometry to quantum mechanics. In honor of Hideki Omori. Basel: Birkhäuser (ISBN 978-0-8176-4512-0/hbk; 978-0-8176-4530-4/e-book). Progress in Mathematics 252, 253-275 (2007). MSC: 81S10 53D55 53C55 22E70 81R30 81R05 PDF BibTeX XML Cite \textit{M. Karasev}, Prog. Math. 252, 253--275 (2007; Zbl 1122.81055) Full Text: arXiv
Jakimowicz, Grzegorz; Odzijewicz, Anatol Quantum complex Minkowski space. (English) Zbl 1110.81117 J. Geom. Phys. 56, No. 9, 1576-1599 (2006). Reviewer: Michael Keyl (Braunschweig) MSC: 81S10 53C55 53D50 81R05 81R30 PDF BibTeX XML Cite \textit{G. Jakimowicz} and \textit{A. Odzijewicz}, J. Geom. Phys. 56, No. 9, 1576--1599 (2006; Zbl 1110.81117) Full Text: DOI arXiv
Berceanu, Stefan Geometrical phases on Hermitian symmetric spaces. (English) Zbl 1071.53030 Andrica, Dorin (ed.) et al., Recent advances in geometry and topology. Proceedings of the 6th international workshop on differential geometry and its applications and the 3rd German-Romanian seminar on geometry, Cluj-Napoca, Romania, September 1–6, 2003. Cluj-Napoca: Cluj University Press (ISBN 973-610-277-7/hbk). 83-98 (2004). MSC: 53C35 53C55 81R30 PDF BibTeX XML Cite \textit{S. Berceanu}, in: Recent advances in geometry and topology. Proceedings of the 6th international workshop on differential geometry and its applications and the 3rd German-Romanian seminar on geometry, Cluj-Napoca, Romania, September 1--6, 2003. Cluj-Napoca: Cluj University Press. 83--98 (2004; Zbl 1071.53030) Full Text: arXiv
Berceanu, Ştefan; Gheorghe, Cezar A. Linear Hamiltonians on homogeneous Kähler manifolds of coherent states. (English) Zbl 1052.81046 An. Univ. Timiș., Ser. Mat.-Inform. 39, Spec. Iss. Mat., 31-55 (2001). MSC: 81R30 20C33 17B10 22E70 53C55 PDF BibTeX XML Cite \textit{Ş. Berceanu} and \textit{C. A. Gheorghe}, An. Univ. Timiș., Ser. Mat.-Inform. 39, 31--55 (2001; Zbl 1052.81046) Full Text: arXiv
Boya, Luis J.; Perelomov, Askold M.; Santander, Mariano Berry phase in homogeneous Kähler manifolds with linear Hamiltonians. (English) Zbl 1019.81021 J. Math. Phys. 42, No. 11, 5130-5142 (2001). MSC: 81Q70 81R30 53C80 53C55 22E70 PDF BibTeX XML Cite \textit{L. J. Boya} et al., J. Math. Phys. 42, No. 11, 5130--5142 (2001; Zbl 1019.81021) Full Text: DOI arXiv
Berceanu, Stefan Symplectic area of geodesic triangles and the generalization of the shape invariant via coherent states. (English) Zbl 1075.53530 Pitiş, Gheorghe (ed.) et al., Proceedings of the 4th international workshop on differential geometry, Braşov, Romania, September 16–22, 1999. Braşov: Transilvania University Press (ISBN 973-9474-68-3). 62-65 (2000). MSC: 53C55 14E25 81R30 PDF BibTeX XML Cite \textit{S. Berceanu}, in: Proceedings of the 4th international workshop on differential geometry, Braşov, Romania, September 16--22, 1999. Braşov: Transilvania University Press. 62--65 (2000; Zbl 1075.53530)
Spera, Mauro On Kählerian coherent states. (English) Zbl 0979.53096 Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 241-256 (2000). MSC: 53D50 81R30 81S10 81S40 14H42 PDF BibTeX XML Cite \textit{M. Spera}, in: Proceedings of the international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, September 1--10, 1999. Sofia: Coral Press Scientific Publishing. 241--256 (2000; Zbl 0979.53096)
Berceanu, Stefan; Schlichenmaier, Martin Coherent state embeddings, polar divisors and Cauchy formulas. (English) Zbl 1002.81027 J. Geom. Phys. 34, No. 3-4, 336-358 (2000). MSC: 81R30 53C55 14E25 81S10 53D50 PDF BibTeX XML Cite \textit{S. Berceanu} and \textit{M. Schlichenmaier}, J. Geom. Phys. 34, No. 3--4, 336--358 (2000; Zbl 1002.81027) Full Text: DOI arXiv
Hall, Brian C. Quantum mechanics in phase space. (English) Zbl 0898.22002 Coburn, Lewis A. (ed.) et al., Perspectives on quantization. Proceedings of a 1996 AMS-IMS-SIAM joint summer research conference, Mt. Holyoke College, South Hadley, MA, USA, July 7–11, 1996. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 214, 47-62 (1998). Reviewer: O.Costinescu (Iaşi) MSC: 22E30 81S10 22E70 53C55 81R30 58J35 PDF BibTeX XML Cite \textit{B. C. Hall}, Contemp. Math. 214, 47--62 (1998; Zbl 0898.22002)
Berceanu, S. On the geometry of complex Grassmann manifold, its noncompact dual and coherent states. (English) Zbl 0947.53021 Bull. Belg. Math. Soc. - Simon Stevin 4, No. 2, 205-243 (1997). MSC: 53C22 81R30 53C55 PDF BibTeX XML Cite \textit{S. Berceanu}, Bull. Belg. Math. Soc. - Simon Stevin 4, No. 2, 205--243 (1997; Zbl 0947.53021) Full Text: arXiv EuDML
Doi, Hideo Path integrals for coherent states and classical dynamics on a homogeneous Kähler manifold. (English) Zbl 0832.58008 Hiroshima Math. J. 24, No. 3, 485-491 (1994). Reviewer: D.B.Gauld (Auckland) MSC: 58D30 53C55 81R30 PDF BibTeX XML Cite \textit{H. Doi}, Hiroshima Math. J. 24, No. 3, 485--491 (1994; Zbl 0832.58008)
Berceanu, S.; Gheorghe, A. On equations of motion on compact Hermitian symmetric spaces. (English) Zbl 0837.53055 J. Math. Phys. 33, No. 3, 998-1007 (1992). MSC: 53Z05 81R30 53B35 PDF BibTeX XML Cite \textit{S. Berceanu} and \textit{A. Gheorghe}, J. Math. Phys. 33, No. 3, 998--1007 (1992; Zbl 0837.53055) Full Text: DOI
Jurčo, Branislav On coherent states for the simplest quantum groups. (English) Zbl 0735.17024 Lett. Math. Phys. 21, No. 1, 51-58 (1991). MSC: 17B37 17B15 53C55 22E45 PDF BibTeX XML Cite \textit{B. Jurčo}, Lett. Math. Phys. 21, No. 1, 51--58 (1991; Zbl 0735.17024) Full Text: DOI
Rawnsley, John Deformation quantization of Kähler manifolds. (English) Zbl 0753.58012 Symplectic geometry and mathematical physics, Proc. Colloq., Aix-en- Provence/ Fr. 1990, Prog. Math. 99, 366-373 (1991). Reviewer: N.J.Hitchin (Coventry) MSC: 53D50 37J99 53C55 32L05 81S10 PDF BibTeX XML Cite \textit{J. Rawnsley}, Prog. Math. 99, 366--373 (1991; Zbl 0753.58012)
Lisiecki, W. Kaehler coherent state orbits for representations of semisimple Lie groups. (English) Zbl 0724.22013 Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 245-258 (1990). Reviewer: J.Dorfmeister (Lawrence) MSC: 22E46 53C55 22E70 81R30 PDF BibTeX XML Cite \textit{W. Lisiecki}, Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 245--258 (1990; Zbl 0724.22013) Full Text: Numdam EuDML