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International Research Journal of Modernization in Engineering Technology and Science

Neurodynamic-A Mathematical And Theoretical Study Of Brain Impulses In A Quantum Level With Help Of A Dirac Picture(Interaction Picture) And How To Study Brain Impulses With Help Of Python Programming

Published May 28, 2025• 0 citations
Publisher

Abstract

In this research paper approach to study the for a brain impulses using quantum mechanics, specifically the interaction (Dirac) picture.It treatment with the brain states like resting and firing of neurons quantum states, where brain impulses are model as time-dependent perturbations in a Hamiltonian system.We are study with a two-state neural model and extends to three-state and n-state systems, using matrix mechanics to simulate brain dynamics.Neural impulses are mathematically represented as Gaussian pulses, and the evolution of brain states is analysing using the Schrodinger equation in the interaction picture.The results show how quantum transitions neural activity, suggesting a possible quantum framework for understanding brain function and information processing.While theoretical, this model offers new approach into neurodynamic.

DOI
10.56726/irjmets76426

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To study brain impulses, we adopted the Schrodinger picture from Quantum Mechanics.We began by examining the time-dependent Schrodinger equation and solving it, which led to the derivation of the Schrödinger picture.In this framework, the state vector evolves over time while the operators remain fixed.By drawing an analogy between the state vector and brain impulses, we proposed that brain activity can be modeled and analyzed within this mathematical framework.This approach provides a novel perspective on understanding brain impulses through the principles of quantum mechanics.
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