sample of publications
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articles
- On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls. SIAM JOURNAL ON CONTROL AND OPTIMIZATION. 62:826-852. 2024
- Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions. Journal of Physics A-Mathematical and Theoretical. 56:1-37. 2023
- On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain. Mathematics. 10:218-238. 2022
- Representation of non-semibounded quadratic forms and orthogonal additivity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 495:1-25. 2021
- On Z -Invariant Self-Adjoint Extensions of the Laplacian on Quantum Circuits. Symmetry. 11:1-21. 2019
- Generalized potential functions in differential geometry and information geometry. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 16. 2019
- Aspects of Geodesical Motion with Fisher-Rao Metric: Classical and Quantum. OPEN SYSTEMS & INFORMATION DYNAMICS. 25:1-15. 2018
- A Hodge-de Rham Dirac operator on the quantum SU(2). INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 15:1-18. 2018
- Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary. JOURNAL OF COMPUTATIONAL PHYSICS. 347:235-260. 2017
- Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 14. 2017
- Huygens' principle and Dirac-Weyl equation. European Physical Journal Plus. 132. 2017
- Hamilton-Jacobi approach to potential functions in information geometry. JOURNAL OF MATHEMATICAL PHYSICS. 58. 2017
- Edge states at phase boundaries and their stability. REVIEWS IN MATHEMATICAL PHYSICS. 28. 2016
- Time, classical and quantum. Annals of Physics. 373:532-543. 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 physics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 12. 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
- Numerical Solutions of the Spectral Problem for Arbitrary Self-Adjoint Extensions of the One-Dimensional Schrödinger Equation. SIAM JOURNAL ON NUMERICAL ANALYSIS. 51:1254-1279. 2013
- Quantum Control and Representation Theory. Journal of Physics A-Mathematical and Theoretical. 42. 2009
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book chapters
- On Uhlmann's proof of the monotonicity of the relative entropy. In: Particles, Fields And Topology: Celebrating A. P. Balachandran. World Scientific. 145-155. 2023
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conference contributions
- Quantum control at the boundary. 57-84. 2019
- Edge States on Quantum Systems 2018
- Quantum Control and approximate controllability of infinite dimensional quantum systems 2018
- Quantum control on the boundary 2018
- Representation of unbounded quadratic forms and orthogonal additivity. 9-9. 2018
- Hamilton-Jacobi approach to contrast functions and geodetical motion in information geometry 2017
- Laplacians and Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries 2016
- Quantum Mechanics and Information Geometry 2016
- Quadratic Forms, unbouneded Self-adjoint Operators and sekf-adjoint extensions of the Laplace-Beltrami Operator 2012