![]() Video – The more general uncertainty principle, beyond quantum by 3Blue1Brown A particle’s position and momentum inherently relate to each other via the Fourier trade off. The Uncertainty Principle by Thad Roberts – the origin of quantum mechanical Heisenberg uncertainty. ![]() ZME Science explains: Certainly Uncertain: What’s Heisenberg’s Uncertainty Principle We use this create a listenable analogy which then leads to the uncertainty principle! We tune by removing beats, which are regular pulsations of loudness produced by notes that are nearly in tune. When musicians tune up, we listen to the note for a long time so that we can adjust the frequency precisely. It shows how the Heisenberg’s Uncertainty Principle follows directly from the classical observation, plus the observation of quantization. Musician’s uncertainty principle From Professor Joe Wolfe, UNSW Australia This lesson uses sound files to demonstrate how the uncertainty principle works. If we measure how long an atom (time) is an a certain quantum energy level, then we lose precisely info of what its energy level is. What happens if we try to measure the energy of the blue electron when it is in the excited state? (Up in the higher article) (E, energy) and how long it remains in that energy state (lifetime.) It also relates to Fourier transformations.) Great animation of this at The Quantum Atlasįrom The Quantum Atlas Energy and Time uncertainty Another kind of uncertainty principle exists. ![]() They are somehow related (if you want to know precisely how they are related and why this uncertainty exists, read up on this topic in a modern physics book. Looking at a very fine scale, momentum and position are always and inherently related. This is not what anyone expected to find! When we try to look at individual sub-atomic particles, the situation changes: Try to find out (as precisely as possible) where an electron is, and its momentum seems to change randomly, it becomes spread out over a wide range. What happens when we look much closer at stuff? But these objects are trillions of times larger than atoms & sub-atomic particles. * the silver ball’s momentum (mass x velocity.) This GIF makes it look like we have done so. Just look at this example: At any moment, at least in theory, we should be able to precisely measure * the silver ball’s position Momentum & Position uncertainty For instance, in our everyday, classical world, an object’s position and its momentum are seemingly unrelated. At its core, nature does not allow us to view particles as solid objects with exact positions, velocities and momentum – because by their very nature particles don’t actually have exact positions, velocities and momentum! Quantum mechanics informs us that certain aspects of reality, that we assume to be separate, are actually inherently linked. It’s not like, “oh well, we are just humans, we only have so much of an ability make precise measurements.” Oh, no, Alice, the rabbit hole goes way deeper than this. There’s nothing practical about this limit. This limit is not a restriction on how well measuring instruments can be made. But according to quantum mechanics, there is actually a fundamental limit to the precision of measurements. ![]() We expect that by using more precise instruments, the uncertainty in a measurement can be made indefinitely small. Heisenberg Uncertainty Principle Whenever a measurement is made, some uncertainty is always involved. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |