Quantum Multidimensional Models of Complex Systems

Abstract

The paper presents a new methodology how to extend the well-known quantum model [2] with (2N − 1) free parameters (moduli and phases) of wave probabilistic functions ψ(A i) assigned into events A i , i ∈ {1, 2,. .. , N } to N •(N +1) 2 free parameters necessary for full N-dimensional representation of complex system. Our approach generally enables to include additional functions applied on events A i , i ∈ {1, 2,. .. , N }. In the paper, we will demonstrate this mathematical instrument on additional wave probabilistic functions ψ(A k ∩ A m ∩ • • • ∩ A n) connected with macroscopic events' intersections A k ∩ A m ∩ • • • ∩ A n where k, m,. .. , n ∈ {1, 2,. .. , N }.

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