3. Imagine that dark energy in our Universe arises from the interaction of a fermionic system with j = 3/2, bound by the Hamiltonian = B J. where J. is the lowering operator. What are the possible eigenvalues of ark energy states?
3. Imagine that dark energy in our Universe arises from the interaction of a fermionic system with j = 3/2, bound by the Hamiltonian = B J. where J. is the lowering operator. What are the possible eigenvalues of ark energy states?
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PLEASE HELP WITH QUESTION 3

Transcribed Image Text:1. The right figure shows the level scheme of an excited nucleus.
What is the nucleus doing? Explain your answer using quantum
mechanics
2. Deduce the eigenvalues of the Harmonic oscillator using second
quantization.
3. Imagine that dark energy in our Universe arises from the interaction
of a fermionic system with j = 3/2, bound by the Hamiltonian H= BJ.
where J. is the lowering operator. What are the possible eigenvalues of
dark energy states?
497
455
412
366
318
267
214
159
102
44
20+
18+
16+
14+
12+
10+
8+
6+
4+1
2+
"col
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