Half-Line non-self-adjoint Schrödinger operators with polynomial potentials: Asymptotics of eigenvalues

Kwang C. Shin

For integers $m\ge 3$, we study the non-self-adjoint eigenvalue problems $-u^{\prime \prime }(x)+(x^m+P(x))u(x)=Eu(x)$, $0\le x<+\infty$, with the boundary conditions $u(+\infty)=…