Pair production via Quantum Tunneling has negative Kinetic energy?

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SUMMARY

The discussion centers on the feasibility of photon-induced pair production of positron-electron pairs under conditions of insufficient energy (hv<2Me*c^2) and the implications of quantum tunneling. It is established that a single photon cannot achieve this in free space without violating conservation laws, necessitating a pair of photons for successful pair production. The concept of quantum tunneling is explored, but the participants clarify that pair production is not merely a matter of overcoming a potential barrier, as it involves fundamental principles of quantum mechanics.

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  • Understanding of quantum mechanics principles, specifically pair production.
  • Knowledge of energy conservation laws in particle physics.
  • Familiarity with the concept of quantum tunneling.
  • Basic comprehension of photon interactions and their energy requirements.
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Superposed_Cat
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If we have a photon being converted to a positron-electron pair, but we lack enough energy for this to happen (hv<2Me*c^2) but the difference is smaller than the uncertainty amount, such that tunneling may be possible, would the resultant pair have net negative energy? Would tunneling even be possible in this case? Any help appreciated.
 
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Hawking radiation would be one along your idea.
 
Superposed_Cat said:
a photon being converted to a positron-electron pair

A single photon can't do this in free space, because there is no way for this to happen without violating energy or momentum conservation. You would need a pair of photons.

Superposed_Cat said:
we lack enough energy for this to happen (hv<2Me*c^2) but the difference is smaller than the uncertainty amount

What "uncertainty amount"?
 
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Superposed_Cat said:
If we have a photon being converted to a positron-electron pair, but we lack enough energy for this to happen (hv<2Me*c^2) but the difference is smaller than the uncertainty amount, such that tunneling may be possible, would the resultant pair have net negative energy? Would tunneling even be possible in this case? Any help appreciated.

This is very puzzling. You're making it sound as if pair production is nothing more than matter-antimatter pair already there and only need to overcome some potential barrier to be liberated. It is no such thing.

Zz.
 
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