Differential operators admitting various rates of spectral projection growth
classification
🧮 math.SP
math-phmath.FAmath.MP
keywords
operatorsratesspectraladmittinganharmonicarbitrarilyconsiderdifferential
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We consider families of non-self-adjoint perturbations of self-adjoint harmonic and anharmonic oscillators. The norms of spectral projections of these operators are found to grow at intermediate rates from arbitrarily slowly to exponentially rapidly.
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