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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
9
votes
Accepted
In quantum optics if you measure the energy of a thermal state does it collapse to a Fock st...
Perhaps the question is, how do you measure an arbitrary number of photons without destroying the system? It's certainly the case that somehow measuring the number of photons in the cavity would colla …
1
vote
Accepted
Operator on Function of Momentum (QM)
Like Prahar had said, the problem reduces fairly simply in momentum-space.
We note that, in such space: $\hat x = i\hbar\frac{\partial}{\partial p}$ and $\hat p=p$, thus, using some auxiliary functio …
1
vote
2
answers
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Operator on Function of Momentum (QM)
I have exactly 0 clue on how to start this problem, but I would be forever grateful for a hint in the right direction.
Given the operators $\hat x=x$ and $\hat p=-i\hbar \frac{d}{dx}$, prove the foll …