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quant-ph2021
Non-Hermitian skin effect as an impurity problem
Federico Roccati
A striking feature of non-Hermitian tight-binding Hamiltonians is the high sensitivity of both spectrum and eigenstates to boundary conditions. Indeed, if the spectrum under period…
quant-ph2019
A no-go result for the quantum damped harmonic oscillator
Fabio Bagarello, Francesco Gargano, Federico Roccati
In this letter we show that it is not possible to set up a canonical quantization for the damped harmonic oscillator using the Bateman lagrangian. In particular, we prove that no s…