M M G Krishna et al 2000 J. Phys. A: Math. Gen. 33 5965 doi:10.1088/0305-4470/33/34/302
M M G Krishna1,2, Joseph Samuel3 and Supurna Sinha4
Show affiliationsWe study the diffusion of Brownian particles on the surface of a sphere and compute the distribution of solid angles enclosed by the diffusing particles. This function describes the distribution of geometric phases in two-state quantum systems (or polarized light) undergoing random evolution. Our results are also relevant to recent experiments which observe the Brownian motion of molecules on curved surfaces such as micelles and biological membranes. Our theoretical analysis agrees well with the results of computer experiments.
Issue 34 (1 September 2000)
Received 19 May 2000
M M G Krishna et al 2000 J. Phys. A: Math. Gen. 33 5965
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