Expectation of Kinetic Energy for Deuteron

Click For Summary
The discussion revolves around calculating the expectation value of kinetic energy for a deuteron, specifically addressing the complexity encountered in applying the Laplacian to the wave functions. The participants clarify that while using the Laplacian is a valid approach, it can lead to complicated expressions that may not simplify as expected. They emphasize the importance of integration by parts and the relationship between the radial momentum operator and the Laplacian. Additionally, there is confusion regarding the treatment of the volume element in integrals, particularly in relation to the potential energy calculations. Ultimately, the conversation highlights the nuances of quantum mechanics calculations and the need for careful consideration of mathematical methods used.
  • #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.
 
Reply
  • Like
Likes anuttarasammyak

Similar threads

What is the Correct Approach to Solving the Deuteron Transcendental Equation?
  • · Replies 14 ·
Replies
14
Views
2K
Help with derivation of electric field of a moving charge
  • · Replies 5 ·
Replies
5
Views
3K
Schrodinger equation in position representation
  • · Replies 6 ·
Replies
6
Views
2K
What is the energy equation in Schrodinger's Spherical equation?
  • · Replies 29 ·
Replies
29
Views
2K
Determine the value of r1 and E for given wavefunction of hydrogen
  • · Replies 5 ·
Replies
5
Views
2K
Finding Energies For 1D Potential
  • · Replies 20 ·
Replies
20
Views
2K
MTW Ex 25.20 - Dynamic Phase Diagram
  • · Replies 22 ·
Replies
22
Views
3K
Time evolution of a particle in momentum space
  • · Replies 1 ·
Replies
1
Views
3K
The Energy Expectation Value for a Moving Hydrogen Atom
  • · Replies 4 ·
Replies
4
Views
2K
Perform suitable gauge transformations
  • · Replies 3 ·
Replies
3
Views
2K