Abstract
Abstract
We present a new type of continuous anharmonic potential and analyze its higher order asymptotic limit. The potential display infinite square well-like behavior when anharmonic order N goes to infinity. Consequently, wave functions and eigenvalues of ground and first excited states of anharmonic oscillators also asymptotically approach to those of infinite square well.
Funder
Natural Science Foundation of Xinjiang Uyghur Autonomous Region
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics