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Mapping the Stochastic Game of Life to Quantum Mechanics methodology as an example of functional data analysis
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Classroom Contents
Classical and Quantum Conway Game of Life - Methodologies and Applications
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- 1 Methodologies in description Classical and Quantum Conway Game of Life
- 2 Structures in the Classical Conway Game of Life (generated in the created simulator)
- 3 Rules of the Stochastic Conway Game of Life
- 4 Life expectancy of the population depending on the level of probability
- 5 Generalization of the Stochastic Conway Game of Life to the case of N species of cellular automata
- 6 Four competing cellular automata
- 7 Description of the dynamics of the Stochastic Gam of Life by using statistical physics methodology
- 8 Diffusion dynamics for a two-barrier system with two small holes in each barrier
- 9 Evolution of the probability distribution over time in a system with two sinusoidally moving barriers
- 10 The Complex Stochastic Game of Life as the prototype of the Quantum Game of Life (one-dimensional case)
- 11 Evolution of the probability distribution over time in the one-dimensional Complex Game of life
- 12 Mapping the Stochastic Game of Life to Quantum Mechanics methodology as an example of functional data analysis
- 13 Mapping the Stochastic Game of Life using quantum mechanics methodology (step 2)
- 14 Determination of the effective complex potential from the Schrödinger equation derived from the probability density occurring in a classical stochastic process (e.g. Stochastic Game of Life)
- 15 Determination of the effective complex potential of the Complex Game of Life using the Schrödinger equation
- 16 Tight-binding model in single-electron device
- 17 Parametrization of tight-binding Hamiltonian
- 18 Anomalous features of tight-binding model reproducing the behavior of Conway Game of Life
- 19 Summary of the obtained analytical and numerical results
- 20 Literature
