Using classical probability functions to illuminate the relation between classical and quantum physics.
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| 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] |
| Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 20807809 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Using classical probability functions to illuminate the relation between classical and quantum physics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yoder%2C+G%2E%22">Yoder, G.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22American+Journal+of+Physics%22">American Journal of Physics</searchLink>. May2006, Vol. 74 Issue 5, p404-411. 8p. 5 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Density+functionals%22">Density functionals</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+analysis%22">Functional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Wavelengths%22">Wavelengths</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics+%28Physics%29%22">Mechanics (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Students%22">Students</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Physics+research%22">Physics research</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=20807809 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1119/1.2173280 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 404 Subjects: – SubjectFull: Quantum theory Type: general – SubjectFull: Density functionals Type: general – SubjectFull: Probability theory Type: general – SubjectFull: Functional analysis Type: general – SubjectFull: Wavelengths Type: general – SubjectFull: Mechanics (Physics) Type: general – SubjectFull: Students Type: general – SubjectFull: Thermodynamics Type: general – SubjectFull: Physics research Type: general Titles: – TitleFull: Using classical probability functions to illuminate the relation between classical and quantum physics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yoder, G. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2006 Type: published Y: 2006 Identifiers: – Type: issn-print Value: 00029505 Numbering: – Type: volume Value: 74 – Type: issue Value: 5 Titles: – TitleFull: American Journal of Physics Type: main |
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