## Quantum Statistical Theory of Quantum Cognition

**Authors:** Elio Conte

In quantum mechanics a wave function is connected to a quantum system. This abstract entity represents a description of the quantum state of this system. The wave function is a complex-valued probability amplitude and the probabilities for the possible results of measurements made on the system can be derived from it . In the present paper it is demonstrated that the tentative often adopted from scholars to attribute a wave function as representation of a mental state in current quantum cognition studies cannot be accepted. A mental state is a so complex structure , depending contextually at each instant from a so complex structure of inner and subjective elements and psychological and neurological components, to exclude its representation by a simple and elementary wave function, The mental state may be represented by a quantum wave function that, owing of the complex structure of the mental state, has an intrinsic indetermination and fluctuation of the basic probability amplitudes to respond to the basic notion of intrinsecally , incompletely specified system that was introduced by P. T. Landsberg in 1961. As consequence a simple quantum wave function cannot be adopted and instead an averaging statistical formulation is absolutely required. Therefore, the subsequent quantum statistical theory is formulated.

**Comments:** 13 Pages.

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### Submission history

[v1] 2016-09-16 13:04:20

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