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In the previous tutorial, we introduced the wavefunction, which is represented by the Greek letter psi. We talked about how to apply operators to the wavefunction, but we didnt talk much about the wavefunction itself. So in this tutorial, lets try to understand the wavefunction a bit better. We should note that much of this discussion will assume a working comprehension of concepts in linear algebra, such as vector spaces. So if your goal is a deep comprehension of quantum mechanics, my linear algebra tutorials are available should you need some review. If youre up to speed, then we can begin to unpack a few things. The best way to go about understanding the wavefunction is to describe what it does. If we consider some quantum system, it can be described by a set of wavefunctions, and the wavefunctions which describe that particular system can be said to form something called a Hilbert space. A Hilbert space is a particular kind of vector space. Hilbert spaces have some specific rul
