Time Evolution of Hydrogen in Superposition of Energy Eigenstates (3,2,0 & 4,1,0 states) •The probability density of the electron's position oscillates in time when in a superposition of states of definite energypic.twitter.com/Yx8oFPaKb5
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What's the time scale here?
Good question.. I’ve got to work that out. I used natural units and the entire oscillation takes about 150 units where I normalized the ground state energy to unity.. so gotta do the conversion
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Though if you want an order of magnitude estimate just take 1/(E_4/hbar) where E_4 is 13.6eV/4^2
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It's the time scale associated with energy difference ~ ħ/(E4-E3) = 9x16 ħ / (7 x 13.6 eV). Still fs neighborhood.
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