Title basically says it all. I'm a physics undergrad trying to wrap my head around quantum physics, and I was hoping people here could help. My question comes from something in one of my textbooks. It tries to explain particle-wave duality through a piece of string, which I'll quickly go over as best I can. If the string is flat everywhere except one place where it suddenly spikes upwards, the string's "location" can be thought of as the spike. If one asked for the string's wavelength, you'd look at them like they're nuts since it doesn't have one. But if the string is in a sine wave pattern then you have something you can call a wavelength, but since it's periodic you don't have anything to call its position. A particle's wavefunction is supposed to be like the piece of string, especially in one dimension where the wavefunction is drawn exactly like a piece of string. This tempts me to think that a lone particle is its wavefunction, and that observables are just emergent properties of whatever the wavefunction's shape happens to be at a given moment. A given particle wouldn't have a position, just a wavefunction so incredibly scrunched up that it may as well have a position. Is this right at all? And if not, what have I misunderstood? Thank you in advance, and I look forward to reading what you have to say.