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Chapter 35: Problem 3

Bohr's correspondence principle states that quantum and classical mechanics must agree in a certain limit. Give an example.

Short Answer

Expert verified
An example of Bohr's correspondence principle is an electron's atomic orbit, which according to the quantum model becomes less-defined as the principal quantum number increases, transitioning to the classical model of a well-defined circular path around the nucleus as n approaches infinity.

Step by step solution

01

Understanding Bohr’s Correspondence Principle

Bohr's correspondence principle is the idea that the behavior of quantum mechanical systems becomes more like the behavior of classical systems as the quantum numbers describing them increase. In simpler terms, it means that for large quantities, quantum mechanics should give the same results as classical mechanics.
02

Give an example of Bohr's Correspondence Principle

An example of Bohr's correspondence principle is the case of the atomic orbit of an electron. According to the quantum model of the atom, as the principal quantum number, n, becomes larger, the electron's orbit becomes larger and less-defined. In the limit as n approaches infinity, the quantum model transitions to the classical model, with the electron following a well-defined circular path around the nucleus.

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