32 citations · 100 across the 9 of their papers we have counts for
5 papers · 1 filter
Quantum Control at the Boundary
A. Balmaseda, J. M. Pérez-Pardo
We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditi…
Edge States at Phase Boundaries and Their Stability
M. Asorey, A. P. Balachandran, J. M. Perez-Pardo
We analyse the effects of Robin boundary conditions on quantum field theories of spin 0, 1 and 1/2. In particular, we show that these conditions always lead to the appearance of ed…
On the theory of self-adjoint extensions of symmetric operators and its applications to Quantum Physics
A. Ibort, J. M. Perez-Pardo
This is a series of 5 lectures around the common subject of the construction of self-adjoint extensions of symmetric operators and its applications to Quantum Physics. We will try…
On Self-adjoint extensions and symmetries in Quantum Mechanics
Alberto Ibort, Fernando Lledó, Juan Manuel Pérez-Pardo
Given a unitary representation of a Lie group on a Hilbert space , we develop the theory of -invariant self-adjoint extensions of symmetric operators both using…
Numerical Solutions of the spectral problem for arbitrary self-adjoint extensions of the 1D Schroedinger equation
Alberto Ibort, Juan Manuel Perez-Pardo
A numerical algorithm to solve the spectral problem for arbitrary self-adjoint extensions of 1D regular Schroedinger operators is presented. It is shown that the set of all self-ad…