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Originally Posted by Erasmus00
An electron is contained within a bubble of radius R
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I suppose you mean a potential well, which may be finite or infinite.
Quote:
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Originally Posted by Erasmus00
Any better way?
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The standard way is to make the boundary conditions (simple in the more ideal case of infinite well, from R outward the amplitude is just plain zero). In both cases, with radial symmetry, the eigenstates are series of Bessel and Neuman functions but I can't remember details from years ago, exercises in basic theoretical physics course, but that's the most exact path.
Complicated, you might say. Perhaps the ground state energy can be estimated well enough, as you suggest. Heisenberg gives you the delta
p and the particle whacking around inside the well can be modelled as a free particle between whacks. It's momentum p is therefore only changing in direction so delta
p would be twice the modulus, apply E^2 - p^2 = m^2 and you should have a quite good estimate.
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Inutil insegnà al mus, si piart timp, in plui si infastidìs la bestie.
Hypography Forum PITA...... er, Administrator.
