Hydrogen atom:<K>,<V>,momentum distribution

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Homework Help Overview

The discussion revolves around a quantum mechanics exercise focused on the hydrogen atom in its ground state. Participants are tasked with evaluating the expectation values of kinetic and potential energy, as well as the momentum distribution of the atom.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of expectation values, particularly for kinetic energy, and explore the correct application of the Laplacian operator in spherical coordinates. There are attempts to evaluate integrals related to the momentum distribution using Fourier transforms, with some participants expressing uncertainty about the integration process.

Discussion Status

The conversation is ongoing, with participants providing insights and corrections to each other's approaches. Some have identified potential errors in the setup of integrals and the application of quantum mechanical principles, while others are exploring different methods to arrive at the desired results.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the amount of direct assistance they can provide to one another. There are also mentions of specific mathematical techniques and integrals that are relevant to the problem at hand.

  • #31
ah,ok...yes,i have the solution for <k>...but not for phi(p)...neither in any book!
 
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  • #32
ok, then you can check by evaluating <K> in momentum space, as KDV said, this is much easier than in positions space.
 

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