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Titlebook: Open Quantum Systems in Biology, Cognitive and Social Sciences; Andrei Y. Khrennikov Book 2023 The Editor(s) (if applicable) and The Autho

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Interplay Between Classical and Quantum Probabilitytive psychology and decision-making. We refer to the Kahneman and Tversky works pointed out that CP using as the basis of decision theory leads to inconsistencies and paradoxes. Such motivation is not grounded on some foundational principles. Here we proceed in parallel with quantum physics, created
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Classical Versus Quantum Rationalityupled with the disjunction and question order effects. The attempt to combine the latter with another psychological effect, response replicability effect, make to question the possibility to use the standard quantum measurement theory with Hermitian operators’ representation and the state update wit
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Brain Functioningsical processes in the brain. Hence, it does not suffer of the well known problems of matching of the quantum and neural scales (temporal, spatial, temperature). In this model, uncertainty generated by the action potential of a neuron is represented as quantum-like superposition of the basic mental
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Quantum Instruments and Positive Operator Valued Measuresnd exclude Hermitian operators from consideration. Instrument-representation of quantum measurement theory is the advanced part of quantum theory. The basic quantum observables as say position and momentum, spin, and energy can be represented by Hermitian operators. In quantum-like modeling, von Ner
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Question Order and Response Replicability Effects update). In this chapter, we overcome this difficulty within quantum instrument theory. The mathematical construction is based on the indirect measurement scheme. The unitary operators describing the interaction of a system and an observable (question) are directly written via their actions. In thi
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