arXiv
Open Access
2024
Feynman checkers: through the looking-glass
Fedor Ozhegov
Mikhail Skopenkov
Alexey Ustinov
Abstrak
Feynman gave a famous elementary introduction to quantum theory by discussing the thin-film reflection of light. We make his discussion mathematically rigorous, keeping it elementary, using his other idea. The resulting model leads to accurate quantitative results and allows us to derive a well-known formula from optics. In the process, we get acquainted with mathematical tools such as Smirnov's fermionic observables, transfer matrices, and spectral radii. Quantum walks and the six-vertex model arise as the next step in this direction.
Penulis (3)
F
Fedor Ozhegov
M
Mikhail Skopenkov
A
Alexey Ustinov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
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- en
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- arXiv
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- Open Access ✓