A New Geometric Probability Technique for an N-dimensional Sphere and Its Applications to Physics

Simple item page
dc.creatorTu, Shu-Ju
dc.creatorFischbach, Ephraim
dc.date2000-04-17
dc.date2001-05-07
dc.date.accessioned2026-07-07T04:27:47Z
dc.date.available2026-07-07T04:27:47Z
dc.descriptionA new formalism is presented for analytically obtaining the probability density function, \( P_{n}(s) \), for the distance between two random points in an \( n \)-dimensional sphere of radius \( R \). Our formalism allows \( P_{n}(s) \) 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.
dc.descriptionREVTeX 3.1, 51 pages, 9 figures, contents rewritten, submitted to Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/math-ph/0004021
dc.identifierhttp://arxiv.org/abs/math-ph/0004021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56544
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject60D05
dc.titleA New Geometric Probability Technique for an N-dimensional Sphere and Its Applications to Physics
dc.typetext

Files

Collections

arXiv