write the condition for physical acceptability of wave function
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Explanation:
For a wave function to be acceptable over a specified interval, it must satisfy the following conditions: (i) The function must be single-valued, (ii) It is to be normalized (It must have a finite value), (iii) It must be continuous in the given interval..
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Requirements for the physical acceptability of wave functions are as follows:
- It's necessary to use a continuous wave function.
- For Eg: all of its partial derivatives must be continuous partial derivatives. The wave function now appears "smooth."
- The wave function must be quadratically integrable. The essential must exist for this to work.
- Because is the probability density, it must be single-valued.
- A set of orthonormal wave functions is required. The wave functions must be normalized as a result.
- The use of orthogonal wave functions is essential.
- The wave function has to be finite everywhere.
- The wave function must satisfy the quantum mechanical system's boundary requirements.
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