توصيفگر ها :
تابع چگالي احتمال كلاسيكي , اصل تناظر , اختلال كلاسيكي , چگالي احتمال توآم , تميزپذيري , ذرات مجزا , هنگرد كلاسيكي , عدم قطعيت
چكيده انگليسي :
Classical probability formalism comparing with quantum probabilities Rasool Kheiry r kheiry@ph iut ac ir 8 09 2015 Department of Physics Isfahan University of Technology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisor Dr Keivan Aghababaei Samani samani@cc iut ac irAbstractClassical probability density function for one particle is defined as an inverse speed or equiv alently by the Dirac Delta function We compare quantum and classical probability density ofposition and momentum with regarding Correspondence principle Examples include boundand also unbound potentials In addition some spherically symmetric potentials are solved andthe first order classical perturbation corresponding to the first order quantum perturbation isdrived Perturbed energy calculated for Kepler Coulomb and harmonic oscillator potentialsagree with change of energy in the precession of the ellipse or in the spin orbit magnetic inter action Afterwards we introduce quantum and classical joint probability density of position andmomentum With this approach correspondence between description of classical and quantumfree particles is concluded although possible troubles with respect to distinguishability ofclassical particles is expressed in there In the next section we propose a mass density modelof mutually exclusive particles instead of continues mass density with the help of squre wavefunction and classical probability density We indicate that how averaging by this model forinfinity particles correspond to that of continues mass density Then we return to one particleproblem for calculating and comparing classical and quantum uncertainty Analytic resultsare former including infinite well bouncing ball and harmonic oscillator potentials Later we numerically compare classical and quantum uncertainty for symmetric and asymmetricpotentials In this comparison analytically driven equivalents vanish with changing potentialintervals Besides this conclusion some programing explanations are mentioned too Keywords Classical Probability Density Correspondence Principle Classical Perturbation JointProbability Density Distinguishability Mutually Exclusive Particles Classical Ensemble Uncertainty
