Quantum-Classical Connection for Hydrogen atom-like systems

The Bohr-Sommerfeld quantum theory specifies the rules of quantization for circular and elliptical orbits for a one-electron hydrogen atom-like system. This article illustrates how a formula connecting the principal quantum number 'n' and the length of the major axis of an elliptical orbit...

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Bibliographic Details
Published in:European Journal of Physics Education 2011-01, Vol.2 (2), p.60-71
Main Authors: Syam, Debapriyo, Roy, Arup
Format: Article
Language:English
Subjects:
Circularity
Data Analysis
Education
Elliptical orbits
Equations (Mathematics)
Joining
Joints
Learning Processes
Measurement
Mechanics (Physics)
Molecular Structure
Quantum Mechanics
Quantum numbers
Quantum theory
Science Instruction
Scientific Principles
Spreadsheets
Teaching Methods
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Summary:The Bohr-Sommerfeld quantum theory specifies the rules of quantization for circular and elliptical orbits for a one-electron hydrogen atom-like system. This article illustrates how a formula connecting the principal quantum number 'n' and the length of the major axis of an elliptical orbit may be arrived at starting from the quantum mechanical description and how, in the limit when 'n' is large, one gets the expected classical result.
ISSN:1309-7202
1309-7202