Heisenberg's Principle: Understanding Time & Energy

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SUMMARY

Heisenberg's Principle asserts that one cannot simultaneously determine the position and momentum of a particle with absolute precision. This limitation arises because measuring a particle's position requires the use of photons, which inevitably alter its velocity. Additionally, the relationship between time and energy is governed by the uncertainty principle, indicating that precise measurements of energy necessitate a corresponding uncertainty in time. This principle is further elucidated by the work of Aharonov and Bohm, which challenges previous interpretations regarding the measurement of energy and time.

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  • Understanding of Heisenberg's Uncertainty Principle
  • Familiarity with quantum mechanics concepts
  • Knowledge of wave functions and wave packets
  • Basic grasp of particle physics interactions
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  • Study the implications of Heisenberg's Uncertainty Principle in quantum mechanics
  • Explore the Aharonov-Bohm effect and its significance in quantum theory
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Students and professionals in physics, particularly those focused on quantum mechanics, particle physics, and theoretical physics, will benefit from this discussion.

pi.rootpi
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Hi, I've a doubt!
The principle says that we cannot find simultaneity the position and the momentum of a particle, I understand this because if I haven't understood bad it's because to find the position of a particle we need to trhow photons to it (and more and more) as much as we want to be precis and this changes its velocity.

The one i don't understant is the one of time and energy. Why can't we find both exactly?


Thanks!
 
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Energy defines how particle interact with the others. So you need to give it some time to interact.
 
Energy is a kind of cumulation effect. If you want to survey the energy of a system accurately, you need some time. So the time becomes inaccurate.
 
It's the inequality obeyed by the deviation of the energy distibution of the states forming a wave packet that evolves with a wave function \Psi(t). In other words, a relation between the energy distribution of a wave packet and the characteristic time it takes to deform.

The interpretation stating that "the more accurately you want to measure the energy of a system, the more time it takes to measure" was shown to be wrong by Aharonov and Bohm in http://cos.cumt.edu.cn/jpkc/dxwl/zl/zl1/Physical%20Review%20Classics/quantum/019.pdf"
 
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