ABSTRACT
When comparing the findings of quantum mechanics with the experimental data, the states would act as two ‘manifestations’ in terms of their observation and in term of their ‘preparing’. It should be emphasized that a physical description using vectors must be perfectly symmetric, which can be interpreted as the isotropy of time, which is expressed in the requirement of a Hermitian character of a quantum space metric. In a number of problems that quantum physics faces, it is very convenient to convert the operators in quantum-mechanical equations into the matrix form. A quantum system generally refers to any physical system described in terms of states with the use of concepts, such as wave function, state vector, and density matrix. Further development of the axioms of quantum mechanics requires the extension of the definition of the ‘state’ concept with the use of space time concepts.
