A simplified mathematical model for the electron transfer in photosystem II by path integral method based on Markov model
Keywords:
Electron transfer, Path integral, Markov model, PhotosynthesisAbstract
The mathematical model for the electron transfer in photosystem II is built by path integral method with nonlocal harmonic oscillator potential. The results show that the amplitude of propagator and wave function depend on time. By the way, the trend of wave function is according to wave function with the constant forced harmonic oscillator. The energy is more than twice the energy value obtained from spectroscopy technique. The probability of electron transfer to another energy level state is then determined using the Markov method which found that the electron has the greatest probability of not changing its energy level, 0.53 at x = 1.5 angstrom.
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