5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.SP2024
The relativistic rotated harmonic oscillator
A. Balmaseda, D. Krejcirik, J. M. Pérez-Pardo
We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real a…
math.FA2022★ 5 cited
On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases the Hamil…
math-ph2019
Quantum Control at the Boundary: an application to quantum circuits
Aitor Balmaseda
Approximate controllability for a quantum system on a graph using as control parameters boundary conditions will be proven. This establishes a first theoretical proof of the feasib…