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Unformatted text preview: 3.6. THE HARMONIC OSCILLATOR 35
The ﬁrst polynomial within square brackets in the expression above is zero at x = ℓ/ 2
and x = −ℓ/ 2, producing the two vertical white lines along which there is zero probability
of ﬁnding the particle. Similarly, the second polynomial within square brackets is zero at
y = 0, producing the horizontal white line. Hence looking along the z -direction, you see the
−ℓ/ 2 √
ℓ/ 2 E x Figure 3.4: Energy eigenfunction ψ213 . Seen from above, you would see four rows of three patches, as the third polynomial between
brackets produces zero probability of ﬁnding the particle at z = − 3/2ℓ, z = 0, and z =
3/2ℓ, splitting the...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.
- Fall '11