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- W1632269402 abstract "When a two-dimensional curved surface is conceived as a limiting case of a curved shell of equal thickness d, where the limit drightarrow0 is then taken, the well-known geometric potential is induced by the kinetic energy operator, in fact by the second order partial derivatives. Applying this confining procedure to the momentum operator, in fact to the first order partial derivatives, we find the so-called geometric momentum instead. This momentum is compatible with the Dirac's canonical quantization theory on system with second-class constraints. The distribution amplitudes of the geometric momentum on the spherical harmonics are analytically determined, and they are experimentally testable for rotational states of spherical molecules such as C_{60}." @default.
- W1632269402 created "2016-06-24" @default.
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- W1632269402 date "2011-09-01" @default.
- W1632269402 modified "2023-09-26" @default.
- W1632269402 title "Geometric Momentum for a Particle on a Curved Surface" @default.
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- W1632269402 doi "https://doi.org/10.48550/arxiv.1109.0153" @default.
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