Aschieri, Tommaso; Ruba, Błażej; Solovej, Jan Philip \(\mathrm{SU}(2)\)-equivariant quantum channels: semiclassical analysis. (English) Zbl 07963301 Commun. Math. Phys. 405, No. 12, Paper No. 298, 39 p. (2024). Reviewer: Benjamin Cahen (Metz) MSC: 53D50 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshida, Takahiko Adiabatic limit, theta function, and geometric quantization. (English) Zbl 07912352 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 065, 52 p. (2024). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 53D50 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klinger, Marc S.; Leigh, Robert G.; Pai, Pin-Chun Extended phase space in general gauge theories. (English) Zbl 1537.81140 Nucl. Phys., B 998, Article ID 116404, 20 p. (2024). MSC: 81S30 37C05 60F17 53A45 83F05 81Q80 13B02 22E70 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaushal, Anurag; Prabhakar, Naveen S.; Wadia, Spenta R. Meson spectrum of SU(2) \(\mathrm{QCD}_{1 + 1}\) with quarks in large representations. (English) Zbl 07795877 J. High Energy Phys. 2023, No. 11, Paper No. 162, 41 p. (2023). MSC: 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brešar, Matej Functional identities and their applications. (English) Zbl 1545.16022 Bull. Math. Sci. 13, No. 3, Article ID 2330002, 73 p. (2023). Reviewer: Allan Berele (Chicago) MSC: 16R60 15A86 16N60 16R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crooks, Peter; Weitsman, Jonathan The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem. (English) Zbl 1531.53092 J. Geom. Phys. 194, Article ID 105011, 12 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D50 53D20 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Safronov, Pavel Shifted geometric quantization. (English) Zbl 1540.53108 J. Geom. Phys. 194, Article ID 104992, 34 p. (2023). Reviewer: Tatyana Barron (London, ON) MSC: 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Souvik; Dorband, Moritz; Erdmenger, Johanna; Weigel, Anna-Lena Geometric phases characterise operator algebras and missing information. (English) Zbl 07774631 J. High Energy Phys. 2023, No. 10, Paper No. 26, 46 p. (2023). MSC: 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pelayo, Álvaro Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems. (English) Zbl 1532.37002 Topology Appl. 339, Part A, Article ID 108577, 35 p. (2023). MSC: 37-02 37J35 37J39 53D20 53D05 53D30 70H06 81Q10 58D27 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Takahiko RR-BS correspondence – a localization phenomenon of the index in geometric quantization. (English) Zbl 1548.53007 Sugaku Expo. 36, No. 1, 35-66 (2023); translation from Sūgaku 71, No. 1, 1-30 (2019). Reviewer: Tatyana Barron (London, ON) MSC: 53-02 53D50 58J20 58H15 × Cite Format Result Cite Review PDF Full Text: DOI
Gay-Balmaz, François; Tronci, Cesare Dynamics of mixed quantum-classical spin systems. (English) Zbl 1521.81084 J. Phys. A, Math. Theor. 56, No. 14, Article ID 144002, 23 p. (2023). MSC: 81Q20 81Q05 70F25 81R25 17B62 30C70 81S07 70H05 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sen, Abhijit; Parida, Bikram Keshari; Dhasmana, Shailesh; Silagadze, Zurab K. Eisenhart lift of Koopman-von Neumann mechanics. (English) Zbl 07654852 J. Geom. Phys. 185, Article ID 104732, 13 p. (2023). Reviewer: Bijan Kumar Bagchi (Kolkata) MSC: 03B30 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. Quantum tomography and Schwinger’s picture of quantum mechanics. (English) Zbl 1507.81033 J. Phys. A, Math. Theor. 55, No. 27, Article ID 274008, 23 p. (2022). MSC: 81P18 81P05 81P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gay-Balmaz, François; Tronci, Cesare Koopman wavefunctions and classical states in hybrid quantum-classical dynamics. (English) Zbl 1506.37113 J. Geom. Mech. 14, No. 4, 559-596 (2022). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37N20 81Q80 37C30 81S08 81Q05 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gay-Balmaz, François; Tronci, Cesare Evolution of hybrid quantum-classical wavefunctions. (English) Zbl 1511.81053 Physica D 440, Article ID 133450, 19 p. (2022). MSC: 81Q20 81R20 47A68 81P16 81Q70 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gay-Balmaz, François; Tronci, Cesare From quantum hydrodynamics to Koopman wavefunctions. I. (English) Zbl 1485.76088 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 302-310 (2021). MSC: 76Y05 70H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grigoryeva, Lyudmila; Ortega, Juan-Pablo Dimension reduction in recurrent networks by canonicalization. (English) Zbl 1482.68196 J. Geom. Mech. 13, No. 4, 647-677 (2021). MSC: 68T05 93B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sevestre, Gabriel; Wurzbacher, Tilmann On the prequantisation map for 2-plectic manifolds. (English) Zbl 1471.58024 Math. Phys. Anal. Geom. 24, No. 2, Paper No. 20, 31 p. (2021). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 53C08 53D50 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pelayo, Álvaro Symplectic invariants of semitoric systems and the inverse problem for quantum systems. (English) Zbl 1469.37046 Indag. Math., New Ser. 32, No. 1, 246-274 (2021). Reviewer: Luca Vitagliano (Fisciano) MSC: 37J35 37J39 53D05 53D50 81U15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belmonte, Fabián Canonical quantization of constants of motion. (English) Zbl 1453.81041 Rev. Math. Phys. 32, No. 10, Article ID 2050030, 35 p. (2020). MSC: 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare Koopman wavefunctions and classical-quantum correlation dynamics. (English) Zbl 1472.81012 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20180879, 18 p. (2019). MSC: 81P15 81S22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zot’ev, D. B. Kostant prequantization of symplectic manifolds with contact singularities. (English. Russian original) Zbl 1430.53099 Math. Notes 105, No. 6, 846-863 (2019); translation from Mat. Zametki 105, No. 6, 857-878 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Le Floch, Yohann; Pelayo, Álvaro Symplectic geometry and spectral properties of classical and quantum coupled angular momenta. (English) Zbl 1417.53085 J. Nonlinear Sci. 29, No. 2, 655-708 (2019). MSC: 53D05 37J35 70H06 81Q20 35P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Le Floch, Yohann; Pelayo, Álvaro Spectral asymptotics of semiclassical unitary operators. (English) Zbl 1414.81114 J. Math. Anal. Appl. 473, No. 2, 1174-1202 (2019). MSC: 81Q20 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scholz, Erhard The unexpected resurgence of Weyl geometry in late 20th-century physics. (English) Zbl 1402.83012 Rowe, David E. (ed.) et al., Beyond Einstein. Perspectives on geometry, gravitation, and cosmology in the twentieth century. Selected papers based on the presentations at the conference, Mainz, Germany, September 22–26, 2008. New York, NY: Birkhäuser (ISBN 978-1-4939-7706-2/hbk; 978-1-4939-7708-6/ebook). Einstein Studies 14, 261-360 (2018). MSC: 83-03 01A60 83D05 83E05 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Floch, Yohann Bounds for fidelity of semiclassical Lagrangian states in Kähler quantization. (English) Zbl 1405.81056 J. Math. Phys. 59, No. 8, 082103, 35 p. (2018). Reviewer: Maurice de Gosson (Wien) MSC: 81S10 53D50 32Q15 81P16 53D12 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pelayo, Álvaro Hamiltonian and symplectic symmetries: an introduction. (English) Zbl 1451.53003 Bull. Am. Math. Soc., New Ser. 54, No. 3, 383-436 (2017). Reviewer: Maxime Fairon (Glasgow) MSC: 53-02 57-02 53D20 53D35 57R17 37J35 57M60 58D27 57S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gukov, Sergei; Pei, Du Equivariant Verlinde formula from fivebranes and vortices. (English) Zbl 1431.81119 Commun. Math. Phys. 355, No. 1, 1-50 (2017). MSC: 81T30 58Z05 58J28 81T60 81T13 14N35 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fitzpatrick, Sean On transversally elliptic operators and the quantization of manifolds with \(f\)-structure. (English) Zbl 1264.53080 Mediterr. J. Math. 10, No. 1, 449-473 (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53C07 53C15 53C25 32V05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gukov, Sergei Quantization via mirror symmetry. (English) Zbl 1281.18002 Jpn. J. Math. (3) 6, No. 2, 65-119 (2011). Reviewer: Sergiy Koshkin (Houston) MSC: 18F20 14J33 53D37 81S10 81T70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pelayo, Álvaro; Ngọc, San Vũ Symplectic theory of completely integrable Hamiltonian systems. (English) Zbl 1230.37075 Bull. Am. Math. Soc., New Ser. 48, No. 3, 409-455 (2011). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37J05 37J15 53D35 37K10 53D20 14H70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fitzpatrick, S. On the geometric quantization of contact manifolds. (English) Zbl 1251.32029 J. Geom. Phys. 61, No. 12, 2384-2399 (2011). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 32V05 53D50 53D10 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zambon, Marco; Zhu, Chenchang On the geometry of prequantization spaces. (English) Zbl 1141.53083 J. Geom. Phys. 57, No. 11, 2372-2397 (2007). Reviewer: Sergiy Koshkin (Evanston) MSC: 53D50 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bodmann, Bernhard G. Construction of self-adjoint Berezin-Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups. (English) Zbl 1029.81044 J. Geom. Phys. 47, No. 2-3, 128-160 (2003). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 81S25 58D30 81S10 58J90 47B35 47D08 47N50 53D50 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karasev, M.; Novikova, E. Coherent transform of the spectral problem and algebras with nonlinear commutation relations. (English) Zbl 1040.81528 J. Math. Sci., New York 95, No. 6, 2703-2798 (1999). Reviewer: Martin Schlichenmaier (Luxembourg) (MR1712996) MSC: 81R30 37J15 37N20 53D50 81R12 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda, Antonio Díaz Pfaff systems with prescibed stability group. (English) Zbl 0953.58002 J. Geom. Phys. 31, No. 4, 287-300 (1999). Reviewer: H.Boseck (Greifswald) MSC: 58A17 58A05 57S99 × Cite Format Result Cite Review PDF Full Text: DOI
Cariñena, José F.; López, Carlos Group theoretical perturbative treatment of nonlinear Hamiltonians on the dual of a Lie algebra. (English) Zbl 0957.37058 Rep. Math. Phys. 43, No. 1-2, 43-51 (1999). Reviewer: Samir Musayev (Baku) MSC: 37J40 17B80 70H09 78A05 × Cite Format Result Cite Review PDF Full Text: DOI
Karasev, Mikhail; Vorobjev, Yuri Integral representations over isotropic submanifolds and equations of zero curvature. (English) Zbl 0926.53030 Adv. Math. 135, No. 2, 220-286 (1998). Reviewer: H.-B.Rademacher (Leipzig) MSC: 53D05 53C40 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda, Antonio Díaz Quantizable forms. (English) Zbl 0852.58046 J. Geom. Phys. 19, No. 1, 47-76 (1996). Reviewer: M.Puta (Timişoara) MSC: 53D50 81S10 53C15 53C30 58A17 × Cite Format Result Cite Review PDF Full Text: DOI
Ktorides, C. N.; Papaloucas, L. C. A geometric realization of Van Hove’s quantization prescription. (English) Zbl 0765.53069 Rep. Math. Phys. 30, No. 1, 1-8 (1991). MSC: 53Z05 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Witten, Edward Quantization of Chern-Simons gauge theory with complex gauge group. (English) Zbl 0717.53074 Commun. Math. Phys. 137, No. 1, 29-66 (1991). Reviewer: V.Silveira MSC: 53C80 81T13 81T70 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Chernoff, Paul R. Irreducible representations of infinite-dimensional transformation groups and Lie algebras. (English) Zbl 0578.58022 Bull. Am. Math. Soc., New Ser. 13, 46-48 (1985). MSC: 53D50 22E65 17B65 81R10 22A25 × Cite Format Result Cite Review PDF Full Text: DOI
Urwin, R. W. The prequantization representations of the Poisson Lie algebra. (English) Zbl 0527.58021 Adv. Math. 50, 126-154 (1983). MSC: 53D50 53C80 58A12 17B65 × Cite Format Result Cite Review PDF Full Text: DOI
Hurt, Norman E. A classification theory for quantizable dynamical systems. (English) Zbl 0224.53021 Rep. Math. Phys. 2, 211-220 (1971). MSC: 53B50 53D50 × Cite Format Result Cite Review PDF Full Text: DOI
Hurt, N. E. Differential geometry of canonical quantization. (English) Zbl 0211.54003 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 14, 153-170 (1971). MSC: 53C80 53C15 53D50 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Künzle, H. P. Degenerate Lagrangean systems. (English) Zbl 0193.24901 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 11, 393-414 (1969). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Souriau, J.-M. Quantification geométrique. Applications. (French) Zbl 0152.46204 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 6, 311-341 (1967). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML