Question

What is a well-behaved wave function? Illustrate with diagrams.​

Answer 1

Answer:

Explanation:

A well behaved (meaningful) wave function must be single-valued in r coordinate (because there can be only one probability value at a given position), continuous (so that a second derivative can exist and well behaved) and finite (to be able to normalize the wave function, Ψ integral). For a function to be normalized the function has to be well behaved.

• It must be single valued to get good probability.
• It should be continuous to have good probability.
• It should be finite to have  good probability in case of trignometric function sin x.