In the pursuit of giving quantum mechanics a mathematical foundation, the measurement of observables was one of the main concerns . It was von Neumann who proposed a mathematical scheme for measurements where a system and a probe are coupled giving a “experimental setup” and, therefore, giving birth to the so called Quantum Measurement Theory (QMT).
My name is Rafael Cordoba. I am a physicist and matematician interested in foundational aspects of QFTs, CFTs, generalized symmetries and quantum gravity. Right now I have been exploring the following topics:
- RG flows, CFTs and defects:
- Boundaries: Topic of my diploma project with Agnese.
- Lines: Project with Miguel
Currently I am student of the École Normale Supérieure (ENS)– PSL in Paris, France.
Click here to see what I been up to (non-academia).
News!
Internship: Bootstrapping gauge theories
Apr 12
We continue the exploration of the "Bootstrapping gauge theories" program. We found an improvement of the bootstrap and identify the exact S-Matrix for the pion-pion scattering. Results can be found here.
Schools and Workshops
2024 IHES Summer School: Symmetries and Anomalies: a Modern Take
Jul 01
Courses on Generalized Symmetries, anomalies and their relations with high energy, condensed matter and mathematics. Continue reading
2024 ICTP Spring School
Apr 20
School on S-Matrix bootstrap, entropy formulas in AdS/CFT, celestial holography and... Here are some lecture notes and project from Spring School on Superstring Theory and Related Topics
Continue readingPosts and Notes
Project Nodes
Full graph of projectsArchives
Schrodinger's frog
A little (quantum)game with a quantum artificial inteligence (QAI) via quantum variational methods using qiskit
Rafael Felipe Córdoba, Luis Carlos Mantilla, Juan Pablo Acuña, Ana María Torres, Daniel Sabogal.
Separation axioms (T1-T3) on a Hilbert space with the weak topology
Proof of Hausdorff and regularness on the weak topology Download PDF.
The parametrix method
Regular renormalization
(BOOK) A brief course on integrals
Stellar dynamics
Irreducible representations of the Poincare Group
Slides for an introductory talk about representation theory, Wigner’s particle classification and symmetries in physics.
Markov Chains: An example simulations
A simulation of a Markov Chain is ilustrated via a simple example.
The Kerr solution of EFQ: A rotating BH
We introduce the Kerr Solution of the Einstein Field Equations (EFQ) for a rotating black hole, its Penrose diagram and a brief analysis.