1. The ground state wave function for a particle trapped in the one-dimensional Coulomb potential energy on the interval 0 < x < ∞ is: where ao is the Bohr radius. 2 (c)=_-_re-r/ao Va (a) Show that (x) is a normalized wave function. (b) Find the expectation value of position, (x). (c) Find where the probability density is a maximum.
1. The ground state wave function for a particle trapped in the one-dimensional Coulomb potential energy on the interval 0 < x < ∞ is: where ao is the Bohr radius. 2 (c)=_-_re-r/ao Va (a) Show that (x) is a normalized wave function. (b) Find the expectation value of position, (x). (c) Find where the probability density is a maximum.
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The ground state wave function for a particle trapped in the one-dimensional
Coulomb potential energy on the interval 0 < x <∞ is:
where ao is the Bohr radius.
y(x) =
=
2
xe
azx
-x/αo
(a) Show that (x) is a normalized wave function.
(b) Find the expectation value of position, (x).
(c) Find where the probability density is a maximum.
3
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