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arXiv · 2608.15801

Quantized Bertrand models on two-dimensional spaces of constant curvature

Agnieszka Martens
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Abstract

Discussed are Bertrand systems on two-dimensional spaces of constant curvature, i.e. sphere and pseudosphere (Lobachevsky space). These models often involve applying quantization techniques, such as those based on the Laplace-Beltrami operator, to the classical models and analyzing the resulting quantum behavior.

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Agnieszka Martens. 2026-08-16. Quantized Bertrand models on two-dimensional spaces of constant curvature. https://arxiv.org/abs/2608.15801

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