Quantum-Classical Connection for Hydrogen Atom-like Systems
Abstract
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.
References
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Hall, H. S. and Knight, S. R. (1969). Higher Algebra. McMillan and Co. Limited: London. Pauling, L. and Wilson, E. B. (1935). Introduction to Quantum Mechanics, Intl. Student ed.
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Synge, J. L. and Griffith, B. A. (1959). Principles of Mechanics, 3rd ed. /Intl.Student ed. McGraw Hill Book Company.
Hall, H. S. and Knight, S. R. (1969). Higher Algebra. McMillan and Co. Limited: London. Pauling, L. and Wilson, E. B. (1935). Introduction to Quantum Mechanics, Intl. Student ed.
McGraw-Hill- Kogakusha Book Co., Inc./ Kogakusha Company, Ltd.: Tokyo.
Rana, N. C. and Joag, P. S. (1991). Classical Mechanics. Tata-McGraw Hill Publishing Company Limited.
Roy, A. (2010), Introduction to Quantum Mechanics (Miley-Mishey)
Synge, J. L. and Griffith, B. A. (1959). Principles of Mechanics, 3rd ed. /Intl.Student ed. McGraw Hill Book Company.
Published
2011-04-02
How to Cite
SYAM, Debapriyo; ROY, Arup.
Quantum-Classical Connection for Hydrogen Atom-like Systems.
European Journal of Physics Education, [S.l.], v. 2, n. 2, p. 60-71, apr. 2011.
ISSN 1309-7202.
Available at: <https://eu-journal.org/index.php/EJPE/article/view/137>. Date accessed: 26 apr. 2024.
Issue
Section
Classroom Physics
The copyright for all articles belongs to the authors. All other copyright is held by the journal.
