# Quantum mechanics of a free particle on a pointed plane revisited

Source: [Quantum mechanics of a free particle on a pointed plane revisited](<https://www.sota2.com/research/paper/68fa25eb2c2a3760193b4fa4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:02:44.110Z

Authors: K. Kowalski, K. Podlaski, J. Rembielinski

Published: 2002-06-25T14:24:09.000Z

## Abstract

The detailed study of a quantum free particle on a pointed plane is performed. It is shown that there is no problem with a mysterious \`\`quantum anticentrifugal force" acting on a free particle on a plane discussed in a very recent paper: M. A. Cirone et al, Phys. Rev. A 65, 022101 (2002), but we deal with a purely topological efect related to distinguishing a point on a plane. The new results are introduced concerning self-adjoint extensions of operators describing the free particle on a pointed plane as well as the role played by discrete symmetries in the analysis of such extensions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/quant-ph/0206176>)

[PDF](<https://arxiv.org/pdf/quant-ph/0206176.pdf>)