A New Geometric Probability Technique for an N-dimensional Sphere and Its Applications to Physics
نویسندگان
چکیده
A new formalism is presented for analytically obtaining the probability density function, Pn(s), for the distance between two random points in an ndimensional sphere of radius R. Our formalism allows Pn(s) to be calculated for a sphere having an arbitrary density distribution, and reproduces the well-known results for the case of a sphere with uniform density. The results find applications in stochastic geometry, probability distribution theory, astrophysics, nuclear physics, and elementary particle physics.
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