Math 4 Quantum

Participants

Leader: Jean-Bernard Bru

Members: Naiara Arrizabalaga, Javier Canto, Lucrezia Cossetti, Miguel Escobedo, Luca Fanelli, Aingeru Fernández-Bertolín, Andoni García Alonso, Ioannis Parissis, Carlos Pérez Moreno, Judith Rivas, Luis Vega

 The objectives proposed by the Math 4 Quantum research line are strongly connected  with the IKUR initiative on Quantum Technologies.

General objectives

1. Spectral theory of Schrödinger and Dirac operators (Naiara Arrizabalaga and Lucrezia Cossetti)

2. Threshold eigenvalues in Dirac operators (Lucrezia Cossetti)

3. Inverse problems for the Schrödinger equation (Ioannis Parissis)

4. Functional inequalities and Hamiltonian semiboundedness (Carlos Pérez Moreno)

5. Algebraic formulation of many-boson systems (Jean-Bernard Bru)

6. Fermionic transport and high-temperature superconductivity (Jean-Bernard Bru)

7. Operator-valued differential equations (Jean-Bernard Bru)

8. Effective kinetic theories for quantum systems (Miguel Escobedo)

9. Talbot effect and fractional dispersion (Javier Canto and Luis Vega)

10. Geometric Phases in Quantum Mechanics (Luca Fanelli)

11. Quantum eigensolvers and computational approaches to Berry Phase (Luca Fanelli)