Using classical probability functions to illuminate the relation between classical and quantum physics.

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Bibliographic Details
Title: Using classical probability functions to illuminate the relation between classical and quantum physics.
Authors: Yoder, G.1
Source: American Journal of Physics. May2006, Vol. 74 Issue 5, p404-411. 8p. 5 Graphs.
Subjects: Quantum theory, Density functionals, Probability theory, Functional analysis, Wavelengths, Mechanics (Physics), Students, Thermodynamics, Physics research
Abstract: The classical and quantum mechanical solutions to three simple physical systems are directly compared by using the classical equations of motion to determine a probability density function. This function is compared to the probability density function for the quantum mechanical stationary state with the same energy. The nonclassical behavior of the quantum mechanical systems is thus made more distinct. This comparison allows students to gain experience using probability functions to describe physical systems and to see how the quantum mechanical solutions reduce to classical behavior in the high-energy/short-wavelength limit. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:The classical and quantum mechanical solutions to three simple physical systems are directly compared by using the classical equations of motion to determine a probability density function. This function is compared to the probability density function for the quantum mechanical stationary state with the same energy. The nonclassical behavior of the quantum mechanical systems is thus made more distinct. This comparison allows students to gain experience using probability functions to describe physical systems and to see how the quantum mechanical solutions reduce to classical behavior in the high-energy/short-wavelength limit. [ABSTRACT FROM AUTHOR]
ISSN:00029505
DOI:10.1119/1.2173280