For bounded potentials whose spatial derivative grows at most like |x|^δ with δ<1, the 1D quantum harmonic oscillator is reducible in L^2 for a Cantor set of frequencies of asymptotically full measure.
Kuksin, Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Funct
1 Pith paper cite this work, alongside 310 external citations. Polarity classification is still indexing.
1
Pith paper citing it
310
external citations · OpenAlex
citation-role summary
method 1
citation-polarity summary
fields
math.DS 1years
2025 1verdicts
ACCEPT 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential
For bounded potentials whose spatial derivative grows at most like |x|^δ with δ<1, the 1D quantum harmonic oscillator is reducible in L^2 for a Cantor set of frequencies of asymptotically full measure.