I have done only a small bit of reading/studying of quantum mechanics. So, from what I have gathered thus far, I have the following rough semi-graphical description of state space: Imagine a space in which you have a lot, but a definite number of discrete points. Each of those points (state vectors) can be described using a combination of base states with appropriate coefficients, provided that the dot/inner product between any two base states (base vectors) i, j is orthogonal (i.e. defined by the Kronecker delta function). So, what I am wondering is if this is correct by any means. As aforementioned, my exposure to QM is minimal and therefore I may have this completely wrong. Thanks in advance.