View of a one-dimensional harmonic oscillator system on the x axis of a charged particle q with an energy spectrum of En = (n + 1)ħw. The system is then disturbed by an oscillating electric field as a function of time t such that the disturbance potential energy can be expressed as untuk t < o untuk to 0 V v (t) = {-9 Ex With & electric field amplitude. (notes: untuk means for) -qEx sin wt e-λt a. Calculate the transition probability from staten to state m. b. State which transitions n → m are allowed and which are not allowed to occur. c. Explain what happens if w→wo and/or λ → 0. [Hint: Use the create and annihilate operators to enumerate Matrix elements.]
View of a one-dimensional harmonic oscillator system on the x axis of a charged particle q with an energy spectrum of En = (n + 1)ħw. The system is then disturbed by an oscillating electric field as a function of time t such that the disturbance potential energy can be expressed as untuk t < o untuk to 0 V v (t) = {-9 Ex With & electric field amplitude. (notes: untuk means for) -qEx sin wt e-λt a. Calculate the transition probability from staten to state m. b. State which transitions n → m are allowed and which are not allowed to occur. c. Explain what happens if w→wo and/or λ → 0. [Hint: Use the create and annihilate operators to enumerate Matrix elements.]
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![View of a one-dimensional harmonic oscillator system on the x axis of a charged particle q with an
energy spectrum of En = (n + ½)ħw. The system is then disturbed by an oscillating electric field as a
wo•
function of time t such that the disturbance potential energy can be expressed as
untuk t < o
untuk t > o
0
v (t) = {_q
{-9€x sin wt e-t
With & electric field amplitude. (notes : untuk means for)
a. Calculate the transition probability from state n to state m.
b. State which transitions n → m are allowed and which are not allowed to occur.
c. Explain what happens if w → wo and/or → 0.
[Hint: Use the create and annihilate operators to enumerate Matrix elements.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff530eb33-ad17-4abe-b641-a05ac26ddb13%2Fd57a78b4-048c-4094-b5cb-1750eacdd251%2Fj6zbzxl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:View of a one-dimensional harmonic oscillator system on the x axis of a charged particle q with an
energy spectrum of En = (n + ½)ħw. The system is then disturbed by an oscillating electric field as a
wo•
function of time t such that the disturbance potential energy can be expressed as
untuk t < o
untuk t > o
0
v (t) = {_q
{-9€x sin wt e-t
With & electric field amplitude. (notes : untuk means for)
a. Calculate the transition probability from state n to state m.
b. State which transitions n → m are allowed and which are not allowed to occur.
c. Explain what happens if w → wo and/or → 0.
[Hint: Use the create and annihilate operators to enumerate Matrix elements.]
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