Titlebook: Geometric Methods in Physics XXXIX; Workshop, Białystok, Piotr Kielanowski,Alina Dobrogowska,Tomasz Golińsk Conference proceedings 2023 The

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On the Construction of Position-Dependent Mass Models with Quadratic Spectrathe deformed potentials, and their bound state wave functions can be expressed in terms of a transformation function . that satisfy a second-order linear equation. The connection of this equation with a family of Ermakov equations allows the generation of different types of position-dependent mass m

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Canonical Photon Position Operator with Commuting Componentsperator is unitarily equivalent to the operator found by Margaret Hawton in 1999. It has a simple geometrical interpretation as a special Weitzenböck connection in the tangent bundle or as a flat connection on some trivial vector bundle.

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Quantum Version of Euler’s Problem: A Geometric Perspectiverks in a quantum setup and allows for superpositions of classical objects and admits entangled states. We analyze the recently found solution to the quantum version of the Euler’s problem from a geometric point of view. The notion of a . embedded in a larger space is recalled. This property implies

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Predicting “Anyons”: Implications of History for Scienceciated with surface phenomena in the presence of magnetic flux. Theoretical applications are numerous, and in 2020, experimentalists succeeded in creating anyonic excitations. Their prediction four decades earlier, which required fundamental changes in our understanding of quantum statistics, is oft

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