Must all physically reasonable wave functions be wavelike in classically allowed regions and exponential-like in forbidden regions (A), or does this apply only to solutions to the Schrödinger equation (B)?
A) Forbidden regions
B) Does this apply only to solutions to the Schrödinger equation

Question

Quizplus · Accepted Answer

The behavior described applies specifically to solutions of the Schrödinger equation, which governs the quantum mechanical behavior of particles. In classically allowed regions, solutions are wavelike, reflecting the possibility of finding a particle in these regions. In classically forbidden regions, solutions become exponential-like, indicating the rapid decay of the probability of finding a particle there, consistent with quantum tunneling. This behavior is a direct consequence of the mathematical form and physical interpretations of the Schrödinger equation.

Must All Physically Reasonable Wave Functions Be Wavelike in Classically