User:Ilya (usurped)/iQuantum/First Example

Note: We assume that you are familiar with linear algebra

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The simplest qm system consists of

states | they should form a vector space

$V=\mathbb {C} ^{2}$

observables | operators in this vector space

$\sigma _{1}=\left({1\ 0 \atop 0\ -1}\right)$

dynamics | described by declaring one of the observables to be Energy

$H=\sigma _{1}$