Unformatted text preview: 6.28.) 4. Problem 6.21. 5. Problem 7.8. 6. Plot numerically the function F(x) given in Eq. 7.51 and shown in Fig. 7.7. Find the value of x at the minimum of F(x), x = R/a where R is the internuclear distance in H 2 + molecular ion and a = 0.52917706 Å is the Bohr radius. Calculate the second derivative at the equilibrium position and obtain the ground state vibrational energy of H 2 + (ћω/2). Compare the ground state vibrational energy to the depth of the well in F(x), i.e. the binding energy of H 2 + . How many vibrational levels are there in the well? (See problem 7.10.)...
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 Fall '11
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 Atom, Electron, Energy, Quantum Physics, Fundamental physics concepts, Bohr radius, hyperfine energy gap

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