All Stories

  1. A Lagrangian path integral approach to the qubit

    Article • The European Physical Journal Plus, April 2024, Springer Science + Business Media

    Professor Alberto Ibort

  2. The groupoidal picture of quantum mechanics

    Article • Journal of Geometry and Physics, March 2024, Elsevier

    Professor Alberto Ibort

  3. Groupoid and algebra of the infinite quantum spin chain

    Article • Journal of Geometry and Physics, September 2023, Elsevier

    Professor Alberto Ibort

  4. G-dual Teleparallel Connections in Information Geometry

    Article • Information Geometry, August 2023, Springer Science + Business Media

    Professor Alberto Ibort

  5. The categorical foundations of quantum information theory: Categories and the Cramer–Rao inequality

    Article • Modern Physics Letters A, June 2023, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  6. A Proposal for the Groupoidal Description of Classical and Quantum Fields

    Article • April 2023, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  7. The sky invariant: A new conformal invariant for Schwarzschild spacetime

    Article • International Journal of Geometric Methods in Modern Physics, June 2022, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  8. Quantum tomography and Schwinger’s picture of quantum mechanics*

    Article • Journal of Physics A Mathematical and Theoretical, June 2022, Institute of Physics Publishing

    Professor Alberto Ibort

  9. The space of light rays: Causality and L–boundary

    Article • General Relativity and Gravitation, June 2022, Springer Science + Business Media

    Professor Alberto Ibort

  10. Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds

    Article • Symmetry, January 2022, MDPI AG

    Professor Alberto Ibort

  11. Causality in Schwinger’s Picture of Quantum Mechanics

    Article • Entropy, January 2022, MDPI AG

    Professor Alberto Ibort

  12. Feynman’s propagator in Schwinger’s picture of Quantum Mechanics

    Article • Modern Physics Letters A, August 2021, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  13. A quantum route to the classical Lagrangian formalism

    Article • Modern Physics Letters A, April 2021, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  14. Representation of non-semibounded quadratic forms and orthogonal additivity

    Article • Journal of Mathematical Analysis and Applications, March 2021, Elsevier

    Professor Alberto Ibort

  15. Quantum tomography and the quantum Radon transform

    Article • Inverse Problems and Imaging, January 2021, American Institute of Mathematical Sciences (AIMS)

    Professor Alberto Ibort

  16. Schwinger's picture of quantum mechanics: 2-groupoids and symmetries

    Article • Journal of Geometric Mechanics, January 2021, American Institute of Mathematical Sciences (AIMS)

    Professor Alberto Ibort

  17. Evolution of Classical and Quantum States in the Groupoid Picture of Quantum Mechanics

    Article • Entropy, November 2020, MDPI AG

    Professor Alberto Ibort

  18. Covariant reduction of classical Hamiltonian Field Theories: From D’Alembert to Klein–Gordon and Schrödinger

    Article • Modern Physics Letters A, June 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  19. Covariant Variational Evolution and Jacobi brackets: Fields

    Article • Modern Physics Letters A, June 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  20. Covariant variational evolution and Jacobi brackets: Particles

    Article • Modern Physics Letters A, May 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  21. Lagrangian description of Heisenberg and Landau–von Neumann equations of motion

    Article • Modern Physics Letters A, April 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  22. Schwinger’s picture of quantum mechanics

    Article • International Journal of Geometric Methods in Modern Physics, March 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  23. Schwinger’s picture of quantum mechanics IV: Composition and independence

    Article • International Journal of Geometric Methods in Modern Physics, March 2020, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  24. Remembering George Sudarshan

    Article • Quantum Reports, December 2019, MDPI AG

    Professor Alberto Ibort

  25. Manifolds of classical probability distributions and quantum density operators in infinite dimensions

    Article • Information Geometry, October 2019, Springer Science + Business Media

    Professor Alberto Ibort

  26. Knit Product of Finite Groups and Sampling

    Article • Mediterranean Journal of Mathematics, October 2019, Springer Science + Business Media

    Professor Alberto Ibort

  27. Descriptions of Relativistic Dynamics with World Line Condition

    Article • Quantum Reports, October 2019, MDPI AG

    Professor Alberto Ibort

  28. Schwinger's Picture of Quantum Mechanics III: The statistical interpretation

    Article • International Journal of Geometric Methods in Modern Physics, August 2019, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  29. Schwinger's Picture of Quantum Mechanics II: Algebras and Observables

    Article • International Journal of Geometric Methods in Modern Physics, July 2019, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  30. Schwinger's Picture of Quantum Mechanics I: Groupoids

    Article • International Journal of Geometric Methods in Modern Physics, May 2019, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  31. On the Structure of Finite Groupoids and Their Representations

    Article • Symmetry, March 2019, MDPI AG

    Professor Alberto Ibort

  32. Nilpotent integrability, reduction of dynamical systems and a third-order Calogero–Moser system

    Article • Annali di Matematica Pura ed Applicata (1923 -), February 2019, Springer Science + Business Media

    Professor Alberto Ibort

  33. On the Notion of Composite System

    Article • January 2019, Springer Science + Business Media

    Professor Alberto Ibort

  34. Towards a Quantum Sampling Theory: The Case of Finite Groups

    Article • January 2019, Springer Science + Business Media

    Professor Alberto Ibort

  35. Stratified manifold of quantum states, actions of the complex special linear group

    Article • Annals of Physics, January 2019, Elsevier

    Professor Alberto Ibort

  36. Classical and Quantum Physics

    Article • January 2019, Springer Science + Business Media

    Professor Alberto Ibort

  37. Quantum Physics and Geometry

    Article • January 2019, Springer Science + Business Media

    Professor Alberto Ibort

  38. L-extensions and L-boundary of conformal spacetimes

    Article • General Relativity and Gravitation, November 2018, Springer Science + Business Media

    Professor Alberto Ibort

  39. Geometrical structures for classical and quantum probability spaces

    Article • International Journal of Quantum Information, December 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  40. Solving quantum optimal control problems using Clebsch variables and Lin constraints

    Article • Journal of Physics A Mathematical and Theoretical, November 2017, Institute of Physics Publishing

    Professor Alberto Ibort

  41. A new algorithm for computing branching rules and Clebsch–Gordan coefficients of unitary representations of compact groups

    Article • Journal of Mathematical Physics, October 2017, American Institute of Physics

    Professor Alberto Ibort

  42. Dynamical aspects in the quantizer–dequantizer formalism

    Article • Annals of Physics, October 2017, Elsevier

    Professor Alberto Ibort

  43. Dynamical Vector Fields on the Manifold of Quantum States

    Article • Open Systems & Information Dynamics, September 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  44. Admissible boundary conditions for Hamiltonian field theories

    Article • International Journal of Geometric Methods in Modern Physics, August 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  45. Preface

    Article • International Journal of Geometric Methods in Modern Physics, August 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  46. Covariant Jacobi brackets for test particles

    Article • Modern Physics Letters A, July 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  47. Covariant brackets for particles and fields

    Article • Modern Physics Letters A, June 2017, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  48. Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories

    Article • Journal of Geometric Mechanics, March 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Alberto Ibort

  49. A conformal boundary for space-times based on light-like geodesics: The 3-dimensional case

    Article • Journal of Mathematical Physics, February 2017, American Institute of Physics

    Professor Alberto Ibort

  50. The quantum-to-classical transition: contraction of associative products

    Article • Physica Scripta, March 2016, Institute of Physics Publishing

    Professor Alberto Ibort

  51. Modeling Sampling in Tensor Products of Unitary Invariant Subspaces

    Article • Journal of Function Spaces, January 2016, Hindawi Publishing Corporation

    Professor Alberto Ibort

  52. Optimal control of two coupled spinning particles in the Euler–Lagrange picture

    Article • Journal of Physics A Mathematical and Theoretical, December 2015, Institute of Physics Publishing

    Professor Alberto Ibort

  53. Boundary dynamics and topology change in quantum mechanics

    Article • International Journal of Geometric Methods in Modern Physics, September 2015, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  54. The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators

    Article • International Journal of Geometric Methods in Modern Physics, July 2015, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  55. On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics

    Article • International Journal of Geometric Methods in Modern Physics, July 2015, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  56. Quantum Tomography twenty years later

    Article • Physica Scripta, June 2015, Institute of Physics Publishing

    Professor Alberto Ibort

  57. Causality and skies: is non-refocussing necessary?

    Article • Classical and Quantum Gravity, April 2015, Institute of Physics Publishing

    Professor Alberto Ibort

  58. Self-adjoint extensions of the Laplace–Beltrami operator and unitaries at the boundary

    Article • Journal of Functional Analysis, February 2015, Elsevier

    Professor Alberto Ibort

  59. Geometry from Dynamics, Classical and Quantum

    Article • January 2015, Springer Science + Business Media

    Professor Alberto Ibort

  60. On Self-Adjoint Extensions and Symmetries in Quantum Mechanics

    Article • Annales Henri Poincaré, October 2014, Springer Science + Business Media

    Professor Alberto Ibort

  61. Boundary dynamics driven entanglement

    Article • Journal of Physics A Mathematical and Theoretical, September 2014, Institute of Physics Publishing

    Professor Alberto Ibort

  62. On the space of light rays of a spacetime and a reconstruction theorem by Low

    Article • Classical and Quantum Gravity, March 2014, Institute of Physics Publishing

    Professor Alberto Ibort

  63. Groupoids and the tomographic picture of quantum mechanics

    Article • Physica Scripta, October 2013, Institute of Physics Publishing

    Professor Alberto Ibort

  64. Convex bodies of states and maps

    Article • Journal of Physics A Mathematical and Theoretical, October 2013, Institute of Physics Publishing

    Professor Alberto Ibort

  65. Null phase curves and manifolds in geometric phase theory

    Article • Journal of Mathematical Physics, June 2013, American Institute of Physics

    Professor Alberto Ibort

  66. Numerical Solutions of the Spectral Problem for Arbitrary Self-Adjoint Extensions of the One-Dimensional Schrödinger Equation

    Article • SIAM Journal on Numerical Analysis, April 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Alberto Ibort

  67. On the multilinear Hausdorff problem of moments

    Article • Revista Matemática Complutense, April 2013, Springer Science + Business Media

    Professor Alberto Ibort

  68. Realization of associative products in terms of Moyal and tomographic symbols

    Article • Physica Scripta, February 2013, Institute of Physics Publishing

    Professor Alberto Ibort

  69. Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds

    Article • Journal of Geometric Mechanics, January 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Alberto Ibort

  70. Reduction of Lie–Jordan Banach algebras and quantum states

    Article • Journal of Physics A Mathematical and Theoretical, December 2012, Institute of Physics Publishing

    Professor Alberto Ibort

  71. The geometry of integrable and superintegrable systems

    Article • Theoretical and Mathematical Physics, August 2012, Springer Science + Business Media

    Professor Alberto Ibort

  72. On the tomographic description of classical fields

    Article • Physics Letters A, March 2012, Elsevier

    Professor Alberto Ibort

  73. FOLDING AND UNFOLDING QUANTUM STATES

    Article • International Journal of Geometric Methods in Modern Physics, March 2012, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  74. A pedagogical presentation of a C ⋆ -algebraic approach to quantum tomography

    Article • Physica Scripta, November 2011, Institute of Physics Publishing

    Professor Alberto Ibort

  75. OPTIMAL CONTROL REALIZATIONS OF LAGRANGIAN SYSTEMS WITH SYMMETRY

    Article • International Journal of Geometric Methods in Modern Physics, November 2011, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  76. Quantum geons and noncommutative spacetimes

    Article • General Relativity and Gravitation, September 2011, Springer Science + Business Media

    Professor Alberto Ibort

  77. Covariant quantum fields on noncommutative spacetimes

    Article • Journal of High Energy Physics, March 2011, Springer Science + Business Media

    Professor Alberto Ibort

  78. A representation theorem for orthogonally additive polynomials on Riesz spaces

    Article • Revista Matemática Complutense, November 2010, Springer Science + Business Media

    Professor Alberto Ibort

  79. Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology

    Article • Symmetry Integrability and Geometry Methods and Applications, June 2010, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor Alberto Ibort

  80. On the tomographic picture of quantum mechanics

    Article • Physics Letters A, June 2010, Elsevier

    Professor Alberto Ibort

  81. Inequivalence of quantum field theories on noncommutative spacetimes: Moyal versus Wick-Voros planes

    Article • Physical Review D, April 2010, American Physical Society (APS)

    Professor Alberto Ibort

  82. An introduction to the tomographic picture of quantum mechanics

    Article • Physica Scripta, June 2009, Institute of Physics Publishing

    Professor Alberto Ibort

  83. Quantum control and representation theory

    Article • Journal of Physics A Mathematical and Theoretical, April 2009, Institute of Physics Publishing

    Professor Alberto Ibort

  84. A generalized Wigner function on the space of irreducible representations of the Weyl–Heisenberg group and its transformation properties

    Article • Journal of Physics A Mathematical and Theoretical, March 2009, Institute of Physics Publishing

    Professor Alberto Ibort

  85. A numerical algorithm for singular optimal LQ control systems

    Article • Numerical Algorithms, January 2009, Springer Science + Business Media

    Professor Alberto Ibort

  86. Remarks on the star product of functions on finite and compact groups

    Article • Physics Letters A, January 2009, Elsevier

    Professor Alberto Ibort

  87. On the Representation of Orthogonally Additive Polynomials in $\ell_p$

    Article • Publications of the Research Institute for Mathematical Sciences, January 2009, European Mathematical Publishing House

    Professor Alberto Ibort

  88. Geometrical description of algebraic structures: Applications to Quantum Mechanics

    Article • January 2009, American Institute of Physics

    Professor Alberto Ibort

  89. ALTERNATIVE LINEAR STRUCTURES FOR CLASSICAL AND QUANTUM SYSTEMS

    Article • International Journal of Modern Physics A, July 2007, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  90. GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE

    Article • International Journal of Modern Physics A, February 2005, World Scientific Pub Co Pte Lt

    Professor Alberto Ibort

  91. Lefschetz pencil structures for 2-calibrated manifolds

    Article • Comptes Rendus Mathématique, August 2004, Elsevier

    Professor Alberto Ibort

  92. A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints

    Article • Journal of Mathematical Physics, July 2004, American Institute of Physics

    Professor Alberto Ibort

  93. Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds

    Article • Comptes Rendus Mathématique, May 2004, Elsevier

    Professor Alberto Ibort

  94. A NEW CONSTRUCTION OF POISSON MANIFOLDS

    Article • Journal of Symplectic Geometry, January 2004, International Press of Boston

    Professor Alberto Ibort

  95. Geometric formulation of Carnot's theorem

    Article • Journal of Physics A General Physics, February 2001, Institute of Physics Publishing

    Professor Alberto Ibort

  96. Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints

    Article • Journal of Physics A General Physics, March 1998, Institute of Physics Publishing

    Professor Alberto Ibort

  97. Mechanical systems subjected to impulsive constraints

    Article • Journal of Physics A General Physics, August 1997, Institute of Physics Publishing

    Professor Alberto Ibort

  98. Reduction of Jacobi manifolds

    Article • Journal of Physics A General Physics, April 1997, Institute of Physics Publishing

    Professor Alberto Ibort

  99. Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos

    Article • Journal of Mathematical Physics, December 1996, American Institute of Physics

    Professor Alberto Ibort

  100. Periodic orbits of Hamiltonian systems and symplectic reduction

    Article • Journal of Physics A General Physics, February 1996, Institute of Physics Publishing

    Professor Alberto Ibort

  101. Arnold's conjecture and symplectic reduction

    Article • Journal of Geometry and Physics, January 1996, Elsevier

    Professor Alberto Ibort

  102. The Feynman problem and the inverse problem for Poisson dynamics

    Article • Physics Reports, December 1995, Elsevier

    Professor Alberto Ibort

  103. On the geometry of Lie algebras and Poisson tensors

    Article • Journal of Physics A General Physics, November 1994, Institute of Physics Publishing

    Professor Alberto Ibort

  104. Geometrical reduction and Parisi-Sourlas supersymmetry

    Article • Physics Letters B, July 1994, Elsevier

    Professor Alberto Ibort

  105. A note on the existence of graded extensions of Poisson brackets

    Article • Journal of Geometry and Physics, July 1993, Elsevier

    Professor Alberto Ibort

  106. Geometrical foundations of Lagrangian supermechanics and supersymmetry

    Article • Reports on Mathematical Physics, June 1993, Elsevier

    Professor Alberto Ibort

  107. Induction of quantum group representations

    Article • Physics Letters B, December 1992, Elsevier

    Professor Alberto Ibort

  108. A geometric classification of Lagrangian functions and the reduction of evolution space

    Article • Journal of Physics A General Physics, June 1992, Institute of Physics Publishing

    Professor Alberto Ibort

  109. Hyper-K�hler induction and self-duality on Riemann surfaces

    Article • Letters in Mathematical Physics, June 1992, Springer Science + Business Media

    Professor Alberto Ibort

  110. On the multisymplectic formalism for first order field theories

    Article • Differential Geometry and its Applications, December 1991, Elsevier

    Professor Alberto Ibort

  111. On the inverse problem of the calculus of variations for a class of coupled dynamical systems

    Article • Inverse Problems, October 1991, Institute of Physics Publishing

    Professor Alberto Ibort

  112. Introduction to Poisson supermanifolds

    Article • Differential Geometry and its Applications, September 1991, Elsevier

    Professor Alberto Ibort

  113. Distinguished Hamiltonian theorem for homogeneous symplectic manifolds

    Article • Letters in Mathematical Physics, September 1991, Springer Science + Business Media

    Professor Alberto Ibort

  114. On the existence of local and global Lagrangians for ordinary differential equations

    Article • Journal of Physics A General Physics, November 1990, Institute of Physics Publishing

    Professor Alberto Ibort

  115. Origin and infinity manifolds for mechanical systems with homogeneous potentials

    Article • Acta Applicandae Mathematicae, March 1988, Springer Science + Business Media

    Professor Alberto Ibort

  116. Applications of the canonical-transformation theory for presymplectic systems

    Article • Il Nuovo Cimento B, April 1987, Springer Science + Business Media

    Professor Alberto Ibort

  117. Time scaling as an infinitesimal canonical transformation

    Article • March 1987, Springer Science + Business Media

    Professor Alberto Ibort

  118. Variational principles on principal fiber bundles

    Article • Journal of Geometry and Physics, January 1987, Elsevier

    Professor Alberto Ibort

  119. Reduction of degenerate Lagrangian systems

    Article • Journal of Geometry and Physics, January 1986, Elsevier

    Professor Alberto Ibort

  120. Geometric theory of the equivalence of Lagrangians for constrained systems

    Article • Journal of Physics A General Physics, December 1985, Institute of Physics Publishing

    Professor Alberto Ibort

  121. Canonical setting of ghosts fields and BRS transformations

    Article • Physics Letters B, December 1985, Elsevier

    Professor Alberto Ibort

  122. Locally hamiltonian systems with symmetry and a generalized Noether's theorem

    Article • Il Nuovo Cimento B, May 1985, Springer Science + Business Media

    Professor Alberto Ibort

  123. A geometrical setting for Lax equations associated to dynamical systems

    Article • Physics Letters A, February 1985, Elsevier

    Professor Alberto Ibort

  124. Bilagrangian connections and the reduction of Lax equations

    Article • Letters in Mathematical Physics, September 1984, Springer Science + Business Media

    Professor Alberto Ibort

  125. On Lax equations arising from Lagrangian foliations

    Article • Letters in Mathematical Physics, January 1984, Springer Science + Business Media

    Professor Alberto Ibort

  126. Non-Noether constants of motion

    Article • Journal of Physics A General Physics, January 1983, Institute of Physics Publishing

    Professor Alberto Ibort