What are the condition require for well behaved wave functions.
The condition required for the well-behaved function is:-
1. It should be single-valued.
2. It should be continuous.
3. It should be differentiable.
4. It should be normalized.
5. It should be orthogonal.
Single valued:- In a given region of space there is only one probability of finding an electron at some specific distance from the nucleus. There are not two probability of finding an electron. So It should be a single-valued function.
Finite:- A probability of 0 means that a certain event cannot happen. therefore, probability varies from 0 to unity. if wave function were finite, the probability could be greater than 1.
Continuous- Wave function must be continuous.
If two function and have this property then is said to be orthoggonal.
1. It should be single-valued.
2. It should be continuous.
3. It should be differentiable.
4. It should be normalized.
5. It should be orthogonal.
Single valued:- In a given region of space there is only one probability of finding an electron at some specific distance from the nucleus. There are not two probability of finding an electron. So It should be a single-valued function.
Finite:- A probability of 0 means that a certain event cannot happen. therefore, probability varies from 0 to unity. if wave function were finite, the probability could be greater than 1.
Continuous- Wave function must be continuous.
If two function and have this property then is said to be orthoggonal.
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