16 citations · 39 across the 8 of their papers we have counts for
8 papers
Bender-Wu singularities
Riccardo Giachetti, Vincenzo Grecchi
We consider a family of quantum Hamiltonians , where is an imaginary double well potential. We pr…
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.…
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…
The spectrum of the cubic oscillator
Vincenzo Grecchi, André Martinez
We prove the simplicity and analyticity of the eigenvalues of the cubic oscillator Hamiltonian,,for in the cut plane $\C_c:=\C\backslash (-\infty…
The Stark effect on -like molecules
Vincenzo Grecchi, Hynek Kovarik, Andre Martinez +2
We consider the vibrational energy levels of the first two electronic states of the molecule ion . The Born-Oppenheimer method applied to the case of the Stark effect on a $…
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…