DOI: 10.1093/oso/9780198556541.003.0004. Angle

10.1093/oso/9780198556541.003.0004

Crossref book-chapter

Oxford University PressOxford

Semiclassical Mechanics with Molecular Applications (286)

Abstract

Abstract The Bohr–Sommerfeld quantization rule, 12π∮pdq =(n+δ)ℏ, arose in Section 3.1 from the boundary conditions on the JWKB wave function. Here it is set in the context of classical angle–action theory from which it evolved (Bohr 1913). The idea is that any bound periodic motion can be simply described in special action-angle variables, termed here (1, α), such that the action, defined in Cartesian variables by the equation

Bibliography

Child, M. S. (1991). AngleâAction Variables. Semiclassical Mechanics with Molecular Applications, 68â97.

Authors 1

M S Child (first)

References 0 Referenced 1

None

Dates

Type	When
Created	1 year, 10 months ago (Nov. 2, 2023, 2:52 a.m.)
Deposited	1 year, 10 months ago (Nov. 2, 2023, 2:52 a.m.)
Indexed	1 year, 3 months ago (May 15, 2024, 3:26 a.m.)
Issued	34 years, 8 months ago (Jan. 3, 1991)
Published	34 years, 8 months ago (Jan. 3, 1991)
Published Print	34 years, 8 months ago (Jan. 3, 1991)

Funders 0

None

BibTeX

@inbook{Child_1991, title={Angle–Action Variables}, ISBN={9781383028669}, url={http://dx.doi.org/10.1093/oso/9780198556541.003.0004}, DOI={10.1093/oso/9780198556541.003.0004}, booktitle={Semiclassical Mechanics with Molecular Applications}, publisher={Oxford University PressOxford}, author={Child, M S}, year={1991}, month=jan, pages={68–97} }

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