Consider a system of two independent harmonic oscillators, each with natural angular frequency . We denote states
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Consider a system of two independent harmonic oscillators, each with natural angular frequency ω. We denote states of this system by |nm〉 where the nonnegative integers n,m denote the excitation levels of the two oscillators. The energy of this system is just the sum of the energies of the two oscillators. What is the ground state energy of this system? How many distinct states |nm〉 have total energy 10 ℏω? If there are three independent oscillators, how many distinct states have total energy 9/2ℏω?
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For two oscillators En m n m 1 with nm 0 1 2 so the ground state energy is E0 0 Th...View the full answer
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