ИСТИНА

A generalized definition of the creation and annihilation (raising and lowering operators) operators is considered. It is shown that the creation and annihilation operators in the second quantization formalism, as well as the rising and lowering operators in Doi-Peliti formalism are the special cases of this definition. The properties of the lowering and raising generalized operators are investigated. It is shown that using these operators, one can construct a Fock space for all integer numbers. As examples of the application of the developed theory, classical random processes with discrete events and classical random fields are considered. It is shown that an artificial quantization can be applied to any classical random field, which allows using a method similar to the second quantization method for its approximate (coarse) description. The connection of the considered theory with the problem of contextuality is discussed.