Normalization of wave functions (hydrogen)

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Homework Help Overview

The discussion revolves around the normalization of wave functions for the hydrogen atom, specifically the (1,0,0) and (2,0,0) states. Participants are exploring the mathematical requirements for ensuring that these wave functions are properly normalized.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the process of normalization, questioning how to verify if the wave functions are normalized and what the implications of normalization are. There are inquiries about the integration process and the expected outcomes of such integrals.

Discussion Status

The discussion is active, with participants providing insights into the normalization process and the significance of the integral of the square of the wave function. Some participants express uncertainty about the integration steps and the interpretation of the results.

Contextual Notes

There is a reference to a specific table for wave functions, which may imply reliance on external resources for definitions or examples. Participants are also navigating the mathematical framework without complete clarity on the integration techniques required.

GreenLRan
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Homework Statement



Show that the (1,0,0) and (2,0,0) wave functions listed in table 7.1 are properly normalized.

http://www.geocities.com/greenlran/phtable712.jpg

Homework Equations



psi.n.l.ml.(r,theta,phi)=R.n.l.(r)THETA.l.ml.(theta)PHI.ml.(phi)

The Attempt at a Solution



To normalize a wave function you square the function and integrate it, then multiply the original function by 1 over the sqrt of the integral to make it equal 1 correct? How do i checked to see if these are normalized?
 
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If a wavefunction is normalised, what can you say about integral of the square of the norm of the wavefunction?
 
would it be the original wave function? or just 1? I am not exactly sure how to integrate this either...
 
It would be equal to one, since the integral over the whole space of the square of the norm of the wavefunction is equal to the probability of finding the particle in that space. Since we want it to be normalised, this means that this probability is equal to one.
 

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