Raphael Henry

activity

20132026

most citedSpectral projections of the complex cubic oscillator

28 citations · 68 across the 8 of their papers we have counts for

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math.SP2013★ 28 cited

Spectral projections of the complex cubic oscillator

Raphaël Henry

We prove the spectral instability of the complex cubic oscillator $- \frac{d ^{2}}{d x ^{2}} + i x^{3} + i α x$ for non-negative values of the parameter $α$ , by getting the exponential growth rate…

math.SP2013

Spectral instability of some non-selfadjoint anharmonic oscillators

Raphaël Henry

The purpose of this Note is to highlight the spectral instability of some non-selfadjoint differential operators, by studying the growth rate of the norms of the spectral projectio…

math.SP2013

Spectral instability for even non-selfadjoint anharmonic oscillators

Raphaël Henry

We study the instability of the spectrum for a class of non-selfadjoint anharmonic oscillators, estimating the behavior of the instability indices (i. e. the norm of spectral proje…