Monotonicity of wavefunction

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Monotonicity of wavefunction

Post by manish1012 on Fri Sep 09, 2016 6:14 pm

Lecture 10 mentions this.
1. All eigenfunctions cannot be accepted as wave functions. Any
wave function to be acceptable
should follow the following
properties.
(a) Continuous
(b) Differentiable
(c) Monotonic
(d) Square integrable

I think a monotonous function cannot be normalised/square-integrated hence cannot be accepted as a wavefunction. Also wavefunction for particle in a box is non monotonous.But 1. mentions the contrary.


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Re: Monotonicity of wavefunction

Post by schrodinger on Mon Sep 12, 2016 12:23 pm

I think they meant one value cannot be mapped to more than one value. basically, the function definition. the term monotonic was wrongly used

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