38 citations · 210 across the 27 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2015★ 7 cited
Level Crossings in a PT-symmetric Double Well
Riccardo Giachetti, Vincenzo Grecchi
We consider a \textit{PT}-symmetric cubic oscillator with an imaginary double well. We prove the existence of an infinite number of level crossings with a definite selection rule.…
math-ph2014
Localization of the states of a PT-symmetric double well
Riccardo Giachetti, Vincenzo Grecchi
We make a nodal analysis of the processes of level crossings in a model of quantum mechanics with a PT-symmetric double well. We prove the existence of infinite crossings with thei…
math-ph2010★ 13 cited
PT-symmetric operators and metastable states of the 1D relativistic oscillators
Riccardo Giachetti, Vincenzo Grecchi
We consider the one-dimensional Dirac equation for the harmonic oscillator and the associated second order separated operators giving the resonances of the problem by complex dilat…