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velo city
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I was watching a YouTube video about Heisenberg's uncertainty principle and was wondering if it only works for position and momentum or does it work for any other two measurable quantities?
velo city said:I was watching a YouTube video about Heisenberg's uncertainty principle and was wondering if it only works for position and momentum or does it work for any other two measurable quantities?
Nugatory said:It works for any pair of non-commuting measurable quantities (but say "observables" instead of "measurable quantities" if you want to sound like a pro).
Unfortunately there's no intuitive/easy/non-mathematical definition of "non-commuting observable", so if you aren't going to dig into the math you'll have to take someone else's word for which observables commute and which don't.
velo city said:So what is the mathematical explanation.?
velo city said:So you can only measure two observables at the same time if the commutant is 0?
velo city said:I was watching a YouTube video about Heisenberg's uncertainty principle and was wondering if it only works for position and momentum or does it work for any other two measurable quantities?
Heisenberg's Uncertainty Principle is a fundamental concept in quantum mechanics that states that it is impossible to know both the exact position and momentum of a particle at the same time.
The Uncertainty Principle was first proposed by German physicist Werner Heisenberg in 1927.
Heisenberg's Uncertainty Principle has significant implications for our understanding of the behavior of particles at the quantum level. It shows that there are inherent limitations to our ability to measure and predict the behavior of particles.
The Uncertainty Principle is closely related to the wave-particle duality, which is the idea that particles can exhibit properties of both particles and waves. Heisenberg's Uncertainty Principle explains this duality by showing that the more accurately we know the position of a particle, the less we know about its momentum, and vice versa.
Yes, the Uncertainty Principle is still a fundamental principle in quantum mechanics and has been experimentally verified numerous times. It is a crucial concept in understanding the behavior of particles at the quantum level.