Feynman Checkers with Absorption: Explicit Formulae

Student: Dmitriev Mikhail

Educational Programme: Mathematics and Mathematical Physics (Master)

Final Grade: 10

Year of Graduation: 2024

We study Feynman checkers model with absorption. In this work, for the first time we express the wave function for the model with absorption in terms of the wave function for the original Feynman's model. Such expression has not been noticed before, despite active research of the model with absorption last 20 years. This allows us to obtain even simpler proofs of known results and many new ones such as combinatorial and integral formulae and approximation for imaginary part of wave function in terms of Airy function.

Full text (added June 2, 2024)

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