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FRI: Friday Contributed Sessions

FRI 10: Foundational / Mathematical Aspects – Unconventional Approaches

FRI 10.7: Talk

Friday, September 12, 2025, 12:15–12:30, ZHG103

Two quantum analogies — •Ryszard Wojnar — Institute of Fundamental Technological Research PAS

In the first analogy, the diffusion equation with an imaginary diffusion coefficient D=ih/2m is considered. The solutions are harmonic functions decaying in time. The disappearance time of a wave packet is proportional to m/h: for an electron of the order of seconds, for a mass of 1 g of the order of 10^10 years.

The second analogy refers to the hexatic transformation. The change in the contact of the particles participating in the transformation leads to either the creation or annihilation of dislocations 5-7, formations distinguished against the background of the hexagonal lattice.

Keywords: quantum - classic analogy; diffusion; wave equation; creation; anihilation