on can be considered to be a mass mu = 207me. Imagine ne electron in a hydrogen atom %3D
on can be considered to be a mass mu = 207me. Imagine ne electron in a hydrogen atom %3D
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Quantum mechanics
![Muon can be considered to be a heavy electron with
a mass mµ
207me. Imagine replacing
the electron in a hydrogen atom with a muon. What
are the energy levels En for this new form
of hydrogen in terms of the binding energy
of ordinary hydrogen Eo, the mass of the proton mp,
and the principal quantum number n?
O En
— Ео те
n2 mu
O En
- Eo mp(mp+me)
n2 me(mp+mµ)
- Eo mu
O En
n2
me
O En
- Eo me(mp+me)
n2 m(mp+mµ)
|
O En
- Eo mp+me
n2 mp+mu](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6aaf91c-f4a2-4f0b-ac00-d701e5bb7c66%2F3722ca62-e69a-4083-816c-737b0a57aa8c%2Folav7gp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Muon can be considered to be a heavy electron with
a mass mµ
207me. Imagine replacing
the electron in a hydrogen atom with a muon. What
are the energy levels En for this new form
of hydrogen in terms of the binding energy
of ordinary hydrogen Eo, the mass of the proton mp,
and the principal quantum number n?
O En
— Ео те
n2 mu
O En
- Eo mp(mp+me)
n2 me(mp+mµ)
- Eo mu
O En
n2
me
O En
- Eo me(mp+me)
n2 m(mp+mµ)
|
O En
- Eo mp+me
n2 mp+mu
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