Analytical evaluation of r^l integral

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    Analytical Integral
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SUMMARY

The discussion centers on finding the matrix elements of the integral involving the radial part of the electronic wave function, denoted as Rnl, specifically for the case where l = 1. Participants emphasize the need for clear notation and a defined domain of integration to facilitate understanding. The thread is ultimately closed due to its classification as a homework problem, with a recommendation to post in the appropriate forum with a detailed problem description and initial solution attempt.

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  • Understanding of quantum mechanics, specifically the hydrogen atom model.
  • Familiarity with the notation of wave functions, particularly Rnl.
  • Knowledge of integral calculus and analytical solutions.
  • Experience with forum etiquette regarding homework discussions.
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  • Research the properties of the radial wave function Rnl for the hydrogen atom.
  • Study the techniques for solving integrals in quantum mechanics.
  • Learn about the domain of integration in quantum mechanical problems.
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Students of quantum mechanics, educators in physics, and anyone involved in solving integrals related to wave functions in atomic physics.

squareroot
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Hello,

I need to find the matrix elements of
CodeCogsEqn-3.gif

in the particular case where l = 1. This should have an analytical solution but I have no idea where to start with this demonstration.

Any suggestions on where to start digging?Ty!
 
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Start defining your notation! What's ##R_{nl}##? What's the domain of integration? Last but not least, homework problems should be sent to the homework forum!
 
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My guess is that ##R_{nl}## is the radial part of the electronic wave function for the hydrogen atom.

This indeed looks like homework, and I will therefore close the thread and ask you to start another one in the homework forum, with a proper description of the problem and an attempt at a solution. If my judgement is wrong, please PM me.
 
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Likes   Reactions: vanhees71

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