Expectation of Kinetic Energy for Deuteron

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Homework Help Overview

The discussion revolves around calculating the expectation value of the kinetic energy for a deuteron, specifically referencing a problem from Krane. Participants are exploring the mathematical formulation involving the Laplacian and the wave functions for the deuteron, which are defined differently in two regions.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to derive the expectation value of kinetic energy using the Laplacian and questions why it seems unnecessary in certain formulations. Other participants suggest exploring the equivalence of different mathematical approaches, including integration by parts.

Discussion Status

Participants are actively engaging with each other's reasoning, questioning the application of the Laplacian versus integration by parts. Some guidance has been provided regarding the relationship between different methods, but there is no clear consensus on the best approach or resolution of confusion.

Contextual Notes

There are indications of confusion regarding the application of radial components and the necessity of certain terms in the integrals, as well as the dimensionality of the problem being discussed.

  • #31
Yes. I actually found out how to do it....I think. If you want I can send it to through email. I was missing something very simple in the textbook. I totally missed this ##\psi(r) = u(r)/r##. This solve many of the problems.
 
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