336 citations · 1.9k across the 51 of their papers we have counts for
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quant-ph2005★ 7 cited
Thin layer quantization in higher dimensions and codimensions
Alexey V. Golovnev
We consider the thin layer quantization with use of only the most elementary notions of differential geometry. We consider this method in higher dimensions and get an explicit form…
quant-ph2005★ 7 cited
Dirac quantization of free motion on curved surfaces
Alexey V. Golovnev
We give an explicit operator realization of Dirac quantization of free particle motion on a surface of codimension 1. It is shown that the Dirac recipe is ambiguous and a natural w…
quant-ph2003★ 16 cited
Uncertainty relations in curved spaces
A. V. Golovnev, L. V. Prokhorov
Uncertainty relations for particle motion in curved spaces are discussed. The relations are shown to be topologically invariant. New coordinate system on a sphere appropriate to th…