Question

16. What are normalized and orthogonal wave functions?​

Answer 1

Answer:

A wave function which satisfies the above equation is said to be normalized. ... Wave functions that are solutions of a given Schrodinger equation are usually orthogonal to one another. Wave-functions that are both orthogonal and normalized are called or tonsorial.

Answer 2

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Normalized Waves :

Normalization of ψ(x,t): Interestingly, if ψ(x, t) is a solution, Aψ(x, t) is also a solution where A is any (complex) constant. Therefore, one must pick a undetermined multiplicative factor in such a way that the Schrodinger Equation is satisfied. This process is called normalizing the wave function.

Orthogonal Waves :

Two wave functions φ(x) and ψ(x) which are orthogonal to each other, 〈φ|ψ〉 = 0, represent mutually exclusive physical states: if one of them is true, in the sense that it is a correct description of the quantum system, the other is false, that is, an incorrect description of the quantum system.