Quantum numbers (n,1, m¡) describe the state of an electron in an atomic orbital. The values they can assume are: n = 1,2,3, · · · (principal), 1 = 0,1, · ·· , (n – 1) (angular momentum), mị = ), ±,1, · ±1 (magnetic). .... (a) What set of numbers (complex, integer, rational, real, etc.) do these quantum numbers belong to? (b) What set of numbers would their classical analogs belong to? Hint. Is classical energy or angular momenta, discrete or continuous?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter9: Atomic Structure
Section: Chapter Questions
Problem 18P
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Quantum numbers (n,1, m¡) describe the state of an electron in an atomic orbital. The values
they can assume are: n =
0,±,1, · . .±1 (magnetic).
1,2,3, · .. (principal), 1 = 0,1, ·. . , (n – 1) (angular momentum), m¡
(a) What set of numbers (complex, integer, rational, real, etc.) do these quantum numbers belong
to?
(b) What set of numbers would their classical analogs belong to? Hint. Is classical energy or
angular momenta, discrete or continuous?
Transcribed Image Text:Quantum numbers (n,1, m¡) describe the state of an electron in an atomic orbital. The values they can assume are: n = 0,±,1, · . .±1 (magnetic). 1,2,3, · .. (principal), 1 = 0,1, ·. . , (n – 1) (angular momentum), m¡ (a) What set of numbers (complex, integer, rational, real, etc.) do these quantum numbers belong to? (b) What set of numbers would their classical analogs belong to? Hint. Is classical energy or angular momenta, discrete or continuous?
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