Articles

The list is ordered according to the date of publication, and not the date of creation.

P. Aniello, F.M. Ciaglia, F. Di Cosmo, G. Marmo, and J.M. Pérez-Pardo: Time, classical and quantum: Annals of physics 373: 2016-10: doi: 10.1016/j.aop.2016.08.001. Available at: https://arxiv.org/abs/1605.03534

M. Asorey, M. Ciaglia, F. Di Cosmo, and A. Ibort: Covariant brackets for particles and fields: Modern physics letters a 32(19): 2017-06: doi: 10.1142/S0217732317501000. Available at: https://arxiv.org/abs/1705.00235

F.M. Ciaglia, F. Di Cosmo, D. Felice, S. Mancini, G. Marmo, and J.M. Pérez-Pardo: Hamilton-Jacobi approach to potential functions in information geometry: Journal of mathematical physics 58(6): 2017-06: doi: 10.1063/1.4984941. Available at: https://arxiv.org/abs/1608.06584

M. Asorey, F.M. Ciaglia, F. Di Cosmo, and A. Ibort: Erratum: “Covariant brackets for particles and fields”: Modern physics letters a 32(22): 2017-07: doi: 10.1142/S021773231792002X

M. Asorey, F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Covariant Jacobi brackets for test particles: Modern physics letters a 32(23): 2017-07: doi: 10.1142/S021773231750122X

F.M. Ciaglia, F.D. Cosmo, M. Laudato, and G. Marmo: Differential calculus on manifolds with boundary applications: International journal of geometric methods in modern physics 14(08): 2017-08: doi: 10.1142/S0219887817400035. Available at: https://arxiv.org/abs/1705.02974

F.M. Ciaglia, F. Di Cosmo, A. Ibort, M. Laudato, and G. Marmo: Dynamical Vector Fields on the Manifold of Quantum States: Open systems & information dynamics 24(03): 2017-09: doi: 10.1142/S1230161217400030. Available at: https://www.worldscientific.com/doi/abs/10.1142/S1230161217400030

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Dynamical aspects in the quantizer–dequantizer formalism: Annals of physics 385: 2017-10: doi: 10.1016/j.aop.2017.08.025

F.M. Ciaglia, A. Ibort, and G. Marmo: Geometrical structures for classical and quantum probability spaces: International journal of quantum information 15(08): 2017-12: doi: 10.1142/s021974991740007x. Available at: https://arxiv.org/abs/1711.09774

F.M. Ciaglia, F.D. Cosmo, D. Felice, S. Mancini, G. Marmo, and J.M. Pérez-Pardo: Aspects of Geodesical Motion with Fisher-Rao Metric: Classical and Quantum: Open systems & information dynamics 25(01): 2018-03: doi: 10.1142/s1230161218500051. Available at: https://arxiv.org/abs/1608.06105

F.M. Ciaglia, A. Ibort, and G. Marmo: A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture: Modern physics letters a 33(20): 2018-06: doi: 10.1142/S0217732318501225. Available at: https://arxiv.org/abs/1807.00519

F.M. Ciaglia, F. Di Cosmo, M. Laudato, G. Marmo, F.M. Mele, F. Ventriglia, and P. Vitale: A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The q – z family: Annals of physics 395: 2018-08: doi: 10.1016/j.aop.2018.05.015. Available at: https://arxiv.org/abs/1807.00519

F.M. Ciaglia, H. Cruz, and G. Marmo: Contact manifolds and dissipation, classical and quantum: Annals of physics 398: 2018-11: doi: 10.1016/j.aop.2018.09.012. Available at: https://linkinghub.elsevier.com/retrieve/pii/S0003491618302574

D. Chruściński, F.M. Ciaglia, A. Ibort, G. Marmo, and F. Ventriglia: Stratified manifold of quantum states, actions of the complex special linear group: Annals of physics 400: 2019-01: doi: 10.1016/j.aop.2018.11.015. Available at: https://linkinghub.elsevier.com/retrieve/pii/S0003491618303002

F.M. Ciaglia, G. Marmo, and J.M. Pérez-Pardo: Generalized potential functions in differential geometry and information geometry: International journal of geometric methods in modern physics 16(01): 2019-02: doi: 10.1142/s0219887819400024. Available at: https://arxiv.org/abs/1804.10414

F.M. Ciaglia, A. Ibort, and G. Marmo: Schwinger’s picture of quantum mechanics I: Groupoids: International journal of geometric methods in modern physics 16(08): 2019-08: doi: 10.1142/S0219887819501196. Available at: https://arxiv.org/abs/1905.12274

F.M. Ciaglia, A. Ibort, and G. Marmo: Schwinger’s picture of quantum mechanics II: Algebras and observables: International journal of geometric methods in modern physics 16(09): 2019-09: doi: 10.1142/S0219887819501366. Available at: https://arxiv.org/abs/1907.03883

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Descriptions of Relativistic Dynamics with World Line Condition: Quantum reports 1(2): 2019-10: doi: 10.3390/quantum1020016. Available at: https://www.mdpi.com/2624-960X/1/2/16

F.M. Ciaglia, F. Di Cosmo, G. Marmo, and L. Schiavone: Evolutionary equations and constraints: Maxwell equations: Journal of mathematical physics 60(11): 2019-11: doi: 10.1063/1.5109087. Available at: http://aip.scitation.org/doi/10.1063/1.5109087

F.M. Ciaglia, A. Ibort, and G. Marmo: Schwinger’s picture of quantum mechanics III: The statistical interpretation: International journal of geometric methods in modern physics 16(11): 2019-11: doi: 10.1142/S0219887819501652. Available at: https://arxiv.org/abs/1909.07265

F.M. Ciaglia, A. Ibort, J. Jost, and G. Marmo: Manifolds of classical probability distributions and quantum density operators in infinite dimensions: Information geometry 2(2): 2019-12: doi: 10.1007/s41884-019-00022-1. Available at: https://arxiv.org/abs/1907.00732

F.M. Ciaglia, F. Di Cosmo, A. Figueroa, V.I. Man’ko, G. Marmo, L. Schiavone, F. Ventriglia, and P. Vitale: Nonlinear Dynamics from Linear Quantum Evolutions: Annals of physics 411: 2019-12: doi: 10.1016/j.aop.2019.167957. Available at: http://arxiv.org/abs/1908.03699

F.M. Ciaglia, F.D. Cosmo, A. Figueroa, G. Marmo, and L. Schiavone: Geometry from divergence functions and complex structures: International journal of quantum information 18(01): 2020-02: doi: 10.1142/s021974991941020x. Available at: https://arxiv.org/abs/2002.02891

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Schwinger’s picture of quantum mechanics: International journal of geometric methods in modern physics 17(04): 2020-03: doi: 10.1142/S0219887820500541. Available at: https://arxiv.org/abs/2002.09326

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Schwinger’s picture of quantum mechanics IV: Composition and independence: International journal of geometric methods in modern physics 17(04): 2020-03: doi: 10.1142/S0219887820500589. Available at: https://arxiv.org/abs/2004.02472

F.M. Ciaglia: Quantum states, groups and monotone metric tensors: The european physical journal plus 135(6): 2020-06: doi: 10.1140/epjp/s13360-020-00537-y. Available at: https://arxiv.org/abs/2006.10595

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: Lagrangian description of Heisenberg and Landau–von Neumann equations of motion: Modern physics letters a 35(19): 2020-06: doi: 10.1142/S0217732320501618. Available at: https://www.worldscientific.com/doi/abs/10.1142/S0217732320501618

F.M. Ciaglia, J. Jost, and L. Schwachhöfer: From the Jordan Product to Riemannian Geometries on Classical and Quantum States: Entropy 22(6): 2020-06: doi: 10.3390/e22060637. Available at: https://arxiv.org/abs/2005.02023

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, and L. Schiavone: Covariant reduction of classical Hamiltonian Field Theories: From D’Alembert to Klein–Gordon and Schrödinger: Modern physics letters a 35(23): 2020-07: doi: 10.1142/S0217732320502144. Available at: https://www.worldscientific.com/doi/abs/10.1142/S0217732320502144

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, and L. Schiavone: Covariant Variational Evolution and Jacobi brackets: Fields: Modern physics letters a 35(23): 2020-07: doi: 10.1142/S0217732320502065. Available at: https://www.worldscientific.com/doi/abs/10.1142/S0217732320502065

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, and L. Schiavone: Covariant variational evolution and Jacobi brackets: Particles: Modern physics letters a 35(23): 2020-07: doi: 10.1142/S0217732320200011. Available at: https://www.worldscientific.com/doi/abs/10.1142/S0217732320200011

F.M. Ciaglia, F.D. Di Cosmo, A. Ibort, and G. Marmo: Evolution of Classical and Quantum States in the Groupoid Picture of Quantum Mechanics: Entropy 22(11): 2020-11: doi: 10.3390/e22111292. Available at: https://arxiv.org/abs/2012.10284

F.M. Ciaglia, J. Jost, and L. Schwachhöfer: Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C\(\ast\)-Algebras: Entropy 22(11): 2020-11: doi: 10.3390/e22111332. Available at: https://arxiv.org/abs/2010.14394

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: A quantum route to the classical Lagrangian formalism: Modern physics letters a 36(15): 2021-05: doi: 10.1142/S0217732321500917. Available at: https://arxiv.org/abs/2106.00998

F.M. Ciaglia, S. Mancini, and M. Ha Quang: Focus point: Classical and quantum information geometry: The european physical journal plus 136(5): 2021-05: doi: 10.1140/epjp/s13360-021-01541-6

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: Feynman’s propagator in Schwinger’s picture of Quantum Mechanics: Modern physics letters a 36(26): 2021-08: doi: 10.1142/S021773232150187X. Available at: https://arxiv.org/abs/2109.05756

F.M. Ciaglia, F.D. Cosmo, A. Ibort, G. Marmo, and L. Schiavone: Schwinger’s picture of quantum mechanics: 2-groupoids and symmetries: Journal of geometric mechanics 13(3): 2021-09: doi: 10.3934/jgm.2021008. Available at: https://arxiv.org/abs/2104.13880

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: Causality in Schwinger’s Picture of Quantum Mechanics: Entropy 24(1): 2022-01: doi: 10.3390/e24010075. Available at: https://www.mdpi.com/1099-4300/24/1/75

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds: Symmetry 14(1): 2022-01: doi: 10.3390/sym14010070. Available at: https://www.mdpi.com/2073-8994/14/1/70

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Quantum tomography and Schwinger’s picture of quantum mechanics: Journal of physics a: Mathematical and theoretical 55(27): 2022-07: doi: 10.1088/1751-8121/ac7591. Available at: https://arxiv.org/abs/2205.00170

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: Dynamical Maps and Symmetroids: Open systems & information dynamics 28(04): 2022-07: doi: 10.1142/S1230161221500190. Available at: https://arxiv.org/abs/2205.06734

F.M. Ciaglia and F. Di Nocera: Group Actions and Monotone Quantum Metric Tensors: Mathematics 10(15): 2022-07: doi: 10.3390/math10152613. Available at: https://arxiv.org/abs/2206.10394

F.M. Ciaglia, F. Di Cosmo, P. Facchi, A. Ibort, A. Konderak, and G. Marmo: Groupoid and algebra of the infinite quantum spin chain: Journal of geometry and physics 191: 2023-06: doi: 10.1016/j.geomphys.2023.104901. Available at: https://arxiv.org/abs/2302.01050

F.M. Ciaglia, F. Di Cosmo, laura González-Bravo, A. Ibort, and G. Marmo: The categorical foundations of quantum information theory: Categories and the Cramér–Rao inequality: Mod. Phys. Lett. a 38(16 & 17): 2023-08: doi: 10.1142/S0217732323500852. Available at: https://arxiv.org/abs/2309.10428

F.M. Ciaglia, J. Jost, and L.J. Schwachhöfer: Information geometry, jordan algebras, and a coadjoint orbit-like construction: SIGMA 19: 2023-10: doi: 10.3842/SIGMA.2023.078. Available at: https://arxiv.org/abs/2112.09781

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: G-dual Teleparallel Connections in Information Geometry: Information geometry 7(1): 2024-01: doi: 10.1007/s41884-023-00117-w. Available at: https://arxiv.org/abs/2207.08694

F.M. Ciaglia, F. Di Cosmo, A. Ibort, and G. Marmo: The groupoidal picture of quantum mechanics: Journal of geometry and physics 197: 2024-01: doi: 10.1016/j.geomphys.2023.105095. Available at: https://doi.org/10.1016/j.geomphys.2023.105095

F.M. Ciaglia, F. Di Nocera, J. Jost, and L. Schwachhöfer: Parametric models and information geometry on W*-algebras: Information geometry 7(1): 2024-01: doi: 10.1007/s41884-022-00094-6. Available at: https://arxiv.org/abs/2207.09396

F.M. Ciaglia, F. Di Cosmo, F. Di Nocera, and P. Vitale: Monotone metric tensors in quantum information geometry: International journal of geometric methods in modern physics 21(10): 2024-09: doi: 10.1142/S0219887824400048. Available at: https://arxiv.org/abs/2203.10857

F.M. Ciaglia, F. Di Cosmo, A. Ibort, G. Marmo, L. Schiavone, and A. Zampini: The geometry of the solution space of first order Hamiltonian field theories I: From particle dynamics to free electrodynamics: Journal of geometry and physics 204: 2024-10: doi: 10.1016/j.geomphys.2024.105279. Available at: https://www.sciencedirect.com/science/article/pii/S0393044024001803

F.M. Ciaglia, S. Jiang, J. Jost, and L. Schwachhöfer: A coadjoint orbit–like construction for Jordan superalgebras: Journal of geometry and physics 209: 2025-03: doi: 10.1016/j.geomphys.2024.105404. Available at: https://arxiv.org/abs/2311.01333