Inthispaper,aquantummodelforthebinomialmarketinfinanceisproposed.Weshowthatitsrisk-neutralworldexhibitsanintriguingstructureasadiskintheunitballofR^3,whoseradiusisafunctionoftherisk-freeinterestratewithtwothresholdswhichpreventarbitrageopportunitiesfromthisquantummarket.Furthermore,fromthequantummechanicalpointofviewwere-deducetheCox-Ross-RubinsteinbinomialoptionpricingformulabyconsideringMaxwell-BoltzmannstatisticsofthesystemofNdistinguishableparticles.
