Eigensystem of an L 2-perturbed harmonic oscillator is an unconditional basis
Eigensystem of an L 2-perturbed harmonic oscillator is an unconditional basis
Abstract For any complex valued L p-function b(x), 2 ≤ p < ∞, or L ∞-function with the norm ‖b↾L ∞‖ < 1, the spectrum of a perturbed harmonic oscillator operator L = −d 2/dx 2 + x 2 + b(x) in L 2(ℝ1) is discrete and eventually simple. Its …