EncyclopedAI

Retrieving "Inverted Harmonic Oscillator Potential" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Classical Turning Point

    Linked via "inverted harmonic oscillator potential"

    Unbound Motion and Single Turning Point
    If the particle’s energy $E$ is greater than the potential energy at infinity (e.g., $E > \lim_{|x|\to\infty} V(x)$), the particle is unbound. Only one CTP exists, occurring where the potential barrier is met. For example, in an inverted harmonic oscillator potential, the single CTP marks the transition from incoming to outgoing motion.
    Bound Motion and Double Turning Points