Show that the Hamiltonian H = (p/2m) + V commutes with all three components of L,...
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Show that the Hamiltonian H = (p²/2m) + V commutes with all three components of L, provided that V depends only on r. (Thus H, L², and L. are mutually compatible observables.) %3D [ri, Pjl = -[pi.rj]= ihdij, [ri,rj] = [pi, Pjl = 0, Lx = yp: - zpy, Ly = zPx-xPz. Ly = zpx - XPP2. L; = xPy - yPx- %3D %3D Show that the Hamiltonian H = (p²/2m) + V commutes with all three components of L, provided that V depends only on r. (Thus H, L², and L. are mutually compatible observables.) %3D [ri, Pjl = -[pi.rj]= ihdij, [ri,rj] = [pi, Pjl = 0, Lx = yp: - zpy, Ly = zPx-xPz. Ly = zpx - XPP2. L; = xPy - yPx- %3D %3D
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To show that Hamiltonian H p 2 2m V commutes with all three components of L provided that V only dep... View the full answer
Related Book For
Organizational behavior
ISBN: 9780077379438
5th edition
Authors: Steven L. McShane, Mary Ann Von Glinow
Posted Date:
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