Bound states

Position-bound states

Consider the one-particle Schrödinger equation. If a state has energy ${\textstyle E<\max {\left(\lim _{x\to \infty }{V(x)},\lim _{x\to -\infty }{V(x)}\right)}}$, then the wavefunction ψ satisfies, for some ${\displaystyle X>0}$