sample of publications
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articles
- Schwinger's picture of quantum mechanics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 17. 2020
- Schwinger's picture of quantum mechanics IV: Composition and independence. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 17. 2020
- Groupoids and Coherent States. OPEN SYSTEMS & INFORMATION DYNAMICS. 26:1950017(1)-1950017(2). 2020
- Knit Product of Finite Groups and Sampling. Mediterranean Journal of Mathematics. 16. 2019
- Descriptions of Relativistic Dynamics with World Line Condition. QUANTUM REPORTS. 1:181-192. 2019
- Schwinger's picture of quantum mechanics III: The statistical interpretation. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 16:1-37. 2019
- Schwinger's picture of quantum mechanics III: The statistical interpretation. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 16. 2019
- Schwinger s picture of quantum mechanics I: Groupoids. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 16:1-31. 2019
- Schwinger's picture of quantum mechanics II: Algebras and observables. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 16. 2019
- On the Structure of Finite Groupoids and Their Representations. Symmetry-Basel. 11. 2019
- Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system. ANNALI DI MATEMATICA PURA ED APPLICATA. 198:1513-1540. 2019
- Stratified manifold of quantum states, actions of the complex special linear group. ANNALS OF PHYSICS. 400:221-245. 2019
- L-extensions and L-boundary of conformal spacetimes. GENERAL RELATIVITY AND GRAVITATION. 50 :1-47. 2018
- Representation of non-semibounded quadratic forms and orthogonal additivity. ArXiv.org. 1-28. 2018
- A gentle introduction to Schwinger's formulation of quantum mechanics: The groupoid picture. MODERN PHYSICS LETTERS A. 33:112-122. 2018
- Solving quantum optimal control problems using Clebsch variables and Lin constraints. Journal of Physics A-Mathematical and Theoretical. 51. 2017
- Geometrical structures for classical and quantum probability spaces. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. 15. 2017
- A new algorithm for computing branching rules and Clebsch-Gordan coefficients of unitary representations of compact groups. JOURNAL OF MATHEMATICAL PHYSICS. 58:1-23. 2017
- Dynamical aspects in the quantizer-dequantizer formalism. ANNALS OF PHYSICS. 385:769-781. 2017
- Dynamical vector fields on the manifold of quantum states. OPEN SYSTEMS & INFORMATION DYNAMICS. 24. 2017
- Admissible boundary conditions for Hamiltonian field theories. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 14 (1740006). 2017
- Covariant Jacobi brackets for test particles. MODERN PHYSICS LETTERS A. 32. 2017
- Covariant brackets for particles and fields. MODERN PHYSICS LETTERS A. 32. 2017
- Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Journal of Geometric Mechanics. 9:47-82. 2017
- A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case. JOURNAL OF MATHEMATICAL PHYSICS. 58. 2017
- Covariant Hamiltonian first-order field theories with constraints, on manifolds with boundary: the case of Hamiltonian dynamics. Banach Center Publications. 110:87-104. 2016
- Modeling Sampling in Tensor Products of Unitary Invariant Subspaces. Journal of Function Spaces. 2016
- The quantum-to-classical transition: contraction of associative products. PHYSICA SCRIPTA. 91. 2016
- Optimal control of two coupled spinning particles in the Euler-Lagrange picture. Journal of Physics A-Mathematical and Theoretical. 49. 2016
- On self-adjoint extensions and symmetries in quantum mechanics. ANNALES HENRI POINCARE. 16:2367-2397. 2015
- Boundary dynamics and topology change in quantum mechanics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 12. 2015
- On the theory of self-adjoint extensions of symmetric operators and its applications to quantum phys. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 12. 2015
- Quantum Tomography twenty years later. PHYSICA SCRIPTA. 90. 2015
- The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 12. 2015
- Causality and skies: is non-refocussing necessary?. CLASSICAL AND QUANTUM GRAVITY. 32. 2015
- Self-adjoint extensions of the Laplace&-Beltrami operator and unitaries at the boundary. JOURNAL OF FUNCTIONAL ANALYSIS. 268:634-670. 2015
- Boundary dynamics driven entanglement. Journal of Physics A-Mathematical and Theoretical. 47. 2014
- Boundary dynamics driven entanglement: Quantum control in its many facets is a key notion in quantum information technologies. Europhysics News. 45:18. 2014
- On the space of light rays of a spacetime and a reconstruction theorem by Low. CLASSICAL AND QUANTUM GRAVITY. 31. 2014
- Numerical Solutions of the spectral problem for arbitrary self-adjoint extensions of the 1D Schroedinger equation. ArXiv.org. 1-21. 2014
- On the multilinear Hausdorff problem of moments. Revista Matematica Complutense. 27:213-224. 2014
- Groupoids and the tomographic picture of quantum mechanics. PHYSICA SCRIPTA. 88:1-12. 2013
- Convex bodies of states and maps. Journal of Physics A-Mathematical and Theoretical. 46. 2013
- Null phase curves and manifolds in geometric phase theory. JOURNAL OF MATHEMATICAL PHYSICS. 54. 2013
- Reduction of Lie-Jordan algebras: Classical. Il Nuovo Cimento C. 36C:107-115. 2013
- Reduction of Lie-Jordan algebras: Quantum. Il Nuovo Cimento C. 36C:117-125. 2013
- Realization of associative products in terms of Moyal and tomographic symbols. PHYSICA SCRIPTA. 87:1-6. 2013
- Numerical solutions of the spectral problem for arbitrary self-adjoint extensions of the one-dimensional Schrodinger equation. SIAM JOURNAL ON NUMERICAL ANALYSIS. 51:1254-1279. 2013
- Reduction of Lie-Jordan Banach algebras and quantum states. Journal of Physics A-Mathematical and Theoretical. 46:1-14. 2013
- Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds. Journal of Geometric Mechanics. 4:397-419. 2012
- The geometry of integrable and superintegrable systems. THEORETICAL AND MATHEMATICAL PHYSICS. 172:1109-1117. 2012
- On the tomographic description of classical fields. PHYSICS LETTERS A. 376:1417-1425. 2012
- Folding and unfolding quantum states. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 9:1-13. 2012
- A representation theorem for orthogonally additive polynomials in Riesz Spaces. Revista Matematica Complutense. 25:21-30. 2012
- A pedagogical presentation of a C*-algebraic approach to quantum tomography. PHYSICA SCRIPTA. 84:1-19. 2011
- Quantum geons on noncommutative spacetimes. General Relativity and Gravitation. 43:3531-3567. 2011
- Optimal control realizations of Lagrangian systems with symmetry. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 8:1627-1651. 2011
- Covariant quantum fields on noncommutative spacetimes. JOURNAL OF HIGH ENERGY PHYSICS. 2011:1-17. 2011
- Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology. Symmetry Integrability and Geometry-Methods and Applications. 6:52-77. 2010
- Inequivalence of Quantum Field Theories on Noncommutative Spacetimes: Moyal versus Wick-Voros Planes. PHYSICAL REVIEW D. 81. 2010
- On the Tomographic Picture of Quantum Mechanics. PHYSICS LETTERS A. 374:2614-2617. 2010
- On the Multilinear Trigonometric Problem of Moments. Contemporary Mathematics. 507:141-153. 2010
- A Numerical Algorithm for Singular Optimal LQ Control Systems. NUMERICAL ALGORITHMS. 51:477-500. 2009
- Remarks on the Star Product of Functions on Finite and Compact Groups. PHYSICS LETTERS A. 373:401-408. 2009
- An Introduction to the Tomographic Picture of Quantum Mechanics. PHYSICA SCRIPTA. 79. 2009
- On the Representation of Orthogonally Additive Polynomials in lp. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 45:519-524. 2009
- Geometrical Description of Aglebraic Structures: Applications to Quantum Mechanics. AIP Conference Proceedings. 1130:47-59. 2009
- A Generalized Wigner Function on the Space of Irreducible Representations of the Weyl-Heisenberg Group and its Transformation Properties. Journal of Physics A-Mathematical and Theoretical. 42:155302-155313. 2009
- Quantum Control and Representation Theory. Journal of Physics A-Mathematical and Theoretical. 42. 2009
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book chapters
- Towards a Quantum Sampling Theory: The Case of Finite Groups. In: Classical and Quantum Physics: 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control. SPRINGER. 203-229. 2019
- The contact structure in the space of light rays. In: A Mathematical Tribute to Professor José María Montesinos Amilibia. EDITORIAL COMPLUTENSE, S.A.. 133-159. 2015
- Clebsch Variables, Lin Constraints and Quantum Control. In: Mathematical Physics and Field Theory: Julio Abad, "in memorim". Editorial Prensas Universitarias de Zaragoza. 255-266. 2009
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books
- Geometry from Dynamics, Classical and Quantum. SPRINGER. 2015
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conference contributions
- The geometry of the l-boundary and conformal extensions 2018
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Geometry and spaces of classical probability states 2017 - Covariant Brackets in Field Theories and Particle Dynamics 2017
- Sesión Especial: Avances recientes en Geometría, Mecánica y Control 2017
- The covariant Hamiltonian formalism of field theories on manifolds with boundaries 2017
- V International Workshop on Mathematical Foundations of Quantum Mechanics and its applications. 2017
- On a class of integrable Hamiltonian systems related to the optimal control problem of two coupled spins 2016
- On the steps of Shannon's sampling theorem: towards a theory of quantum sampling 2016
- Causality and the contact structure on the space of light rays 2015
- On the Atiyah's index Theorem for manifolds with boundary and the eta-invariant. 2015
- On the multisymplectic formalism of first-order Hamiltonian field theories on manifolds with boundary: an application to Palatini's gravity 2015
- Convex bodies of states, majorization and Atiyah's convexity theorem 2014
- Mentes y máquinas: Ciencia-ficción, Física y Matemáticas 2014
- On Kato's representation theorem for a class of functions on infinite dimensional Kähler manifolds 2014
- On a Class of Kählerian Hamiltonian Systems on Infinite Dimensional Kähler Manifolds with Holomorphic Flows 2014
- On the geometrical foundations of Field Theories on manifolds with boundary: Palatinis formulation of gravity 2014
- On the structure of Schwinger's measurement algebra: groups, groupoids and 2-groupoids 2014
- Operadores no acotados en Espacios de Hilbert(Tema A.1) 2014
- First order Hamiltonian field theories in manifolds with boundary: the Nambu sigma model 2013
- On a symplectic Radon transform 2013
- On the notion of integrability of dynamical systems: nilpotent integrability and serendipity 2013
- Quantum holonomy control and quantum control at the boundary 2013
- Quantum walks and dynamics on graphs 2013
- Reduction of Jordan and Lie-Jordan Banach algebra 2013
- The Poisson sigma model revisited 2013
- There is plenty of room at the boundary 2013
- Three lectures on global boundary conditions and the theory of self-adjoint extensions of the covariant Laplace-Beltrami and Dirac operators on Riemannian manifolds with boundary. 15-54. 2012
- Reduction of Optimal Control Problems with Symmetry and Dirac Structures 2011
- Road to tomography of fields 2011