Question

What is a well behaved wave function? Illustrate with example

Answer 1

Solution.

The following properties are characteristic of the wave function of good behavior:

1. The wave function must be unambiguous.

2. The function must be finite and continuous in the entire area of space.

3. The function $|\Psi|^2$ must have a finite integral over the entire space.

Example:

$f(x) = cos(x)$

Answer:

The following properties are characteristic of the wave function of good behavior:

1. The wave function must be unambiguous.

2. The function must be finite and continuous in the entire area of space.

3. The function $|\Psi|^2$ must have a finite integral over the entire space.

Example:

$f(x) = cos(x)$