User:Ilya (usurped)/iQuantum/First Example

Note: We assume that you are familiar with linear algebra

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
 * $$H = \sigma_1$$