Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials
David Gurarie · Inverse Problems · 1989
The author continues earlier work on asymptotic spectral problems for perturbations of the harmonic oscillator L=A+B on R, where A= 1 / 2 (- delta +x 2 ). The class of functions B is defined by their asymptotics at ( infinity ) B(x) approximately mod x mod - alpha *trigonometric V(x). The even-potential case i.e. V= Sigma a m cos omega m x, is now extended to a more difficult odd case, V= Sigma b m sin omega m x.