cies wx # w,. express the angular momentum operator ( z in terms of creation and annihilation operators. Consider the limiting transition to the isotropic case, For a two-dimensional harmonic oscillator in the xy-plane with different frequen- roble . express the angular momentum operator l in terms of creation cies wx and show that this operator becomes a constant of motion. in agreement
cies wx # w,. express the angular momentum operator ( z in terms of creation and annihilation operators. Consider the limiting transition to the isotropic case, For a two-dimensional harmonic oscillator in the xy-plane with different frequen- roble . express the angular momentum operator l in terms of creation cies wx and show that this operator becomes a constant of motion. in agreement
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Transcribed Image Text:poblem 11.13
cies wx # 0, express the angular momentum operatorl, in terms of creation
and annihilation operators. Consider the limiting transition to the isotropic case.
For a two-dimensional harmonic oscillator in the xy-plane with different frequen-
and show that this operator becomes a constant of motion, in agreement
with Section 11.6.
OProve that I mn = Vn 2^n! Smn
Find <P> fow I Yes> =L[21>+i12>e
-iwt
Find < Pp> for1 Yes>
Find the time-deperden t uncert arty la
Hint APe) = <pi>-<x
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