Research

Projects I have been working on

Mainly focused on non-relativistic quantum mechanics and its applications in condensed matter physics. But seeking to engage in other topics like gravitation

About Me

Theoretical physics student at Universidad de La Laguna (Tenerife, Canary Islands), with research exposure and collaboration at the Instituto de Astrofisica de Canarias (IAC).

Research Interests

  • Quantum Field Theory
  • Bose-Einstein Condensates
  • Computational Physics
Current Cross Section

Preprint: Spin Currents in the Ground State of a Hall system realized with Bose Einstein Condensates

Prove how the spin term that is usually neglected because it does not affect the continuity equation, actually can have measurable macroscopic effects. (Available in Arxiv soon)

Abstract representation of entangled electron pairs

From Schrödinger to Dirac: Gauge Invariance, Landau Quantization, and Probability Currents. Minimal Coupling, Gauge Invariance & Landau Levels

How EM fields enter quantum dynamics: canonical → minimal coupling, U(1) gauge transformations, and spectra in uniform fields.

Galaxy cluster illustrating gravitational lensing

Symmetries of the Pauli Equation: Noether Currents and Conservation Laws Spin SU(2), Magnetic Interactions & Conserved Quantities

Spin rotations, Space-time traslations, generators/commutators and constants of motion in the Pauli Hamiltonian.