In physics one deals with quantum states that are unit vectors ${\displaystyle (z_{1},z_{2},\ldots )}$in complex Hilbert space. Each state gives rise to a probability distribution on the positive integers, where ${\displaystyle \Pr[k]=|z_{k}|^{2}}$(the Born rule). Question: does this type of distribution show up in non-physics parts of math, like in ordinary probability theory? It seems like it should. Thanks. 173.228.123.166 (talk) 23:10, 2 November 2018 (UTC)[reply]

I do not understand. Are not all ${\displaystyle |z_{k}|^{2}}$supposed to be equal to 1? Ruslik_Zero 20:25, 4 November 2018 (UTC)[reply]

The ${\displaystyle |z_{k}|^{2}}$are supposed to add up to 1. 173.228.123.166 (talk) 00:51, 5 November 2018 (UTC)[reply]