Reducibility of the Quantum Harmonic Oscillator in d-dimensions with Polynomial Time Dependent Perturbation
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math-phmath.MP
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arbitrarydimensionsharmonicoscillatorpolynomialquantumreducibilitytime
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We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which depend quasiperiodically on time.
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