Physics – Quantum Physics
Scientific paper
2002-06-25
Phys. Rev. A, 66 (2002) 032118-1--032118-9
Physics
Quantum Physics
4 figures
Scientific paper
10.1103/PhysRevA.66.032118
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.
Kowalski Krzysztof
Podlaski Krzysztof
Rembielinski Jakub
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