Understand Quantum Resonance: What Is It?

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Quantum resonance refers to a temporary 'bound' state of a particle within a potential well, characterized by a finite energy width due to its unstable nature. It is described as a situation where a particle is trapped but not permanently bound, allowing for eventual decay. The decay rate of a resonance can vary, with broad resonances decaying quickly and sharp resonances decaying more slowly, adhering to the uncertainty principle. This concept can be applied to phenomena like unstable neutron capture reactions, where a nucleus captures a neutron, becomes unstable, and eventually decays to a stable state. Understanding quantum resonance is crucial for grasping various quantum mechanical processes.
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I'm finding that I don't really understand what a resonance, in the quantum mechanical use of the term, is. From what I get out of my texts it's related to an infinite square well potential. Is it when a particle is trapped but not bound? (I'm not even sure that last sentence makes sense in English or Physics)... So, for the sake of reading comprehension: what is a resonance?
 
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'Trapped but not bound' is actually pretty close. A resonance is basically a temporary 'bound' state. It has a width in energy because it's not bound forever. It can decay. A broad resonance decays quickly, a sharp resonance more slowly. It's the delta(E)*delta(T)>Planck's constant thing. It's a finite well barrier that the particles can get stuck in for a while but eventually leak out.
 
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Thanks! Does this explain something like an unstable neutron capture reaction? Where a nucleus captures a neutron, becomes unstable, and then decays to a stable state.
 

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