Speaker
Prof.
Fernando Falceto
(Universidad de Zaragoza)
Description
We discuss the Heisenberg equation for operators that do not
preserve the boundary conditions for the domain of the Hamiltonian. We show that it acquires an anomalous term that depends only on the boundary values.
We briefly review the theory of selfadjoint extensions of symmetric
operators where the above mentioned anomalous term plays the key role.
We show how the previous results affect to other identities in quantum
mechanics like Hellmann-Feynman or virial theorems.
We finally study some examples of boundary effects in quantum quenching
dynamics.
Primary author
Prof.
Fernando Falceto
(Universidad de Zaragoza)
