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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Creation and annihilation operators for anharmonic oscillators


Author: Leonid Friedlander
Journal: Proc. Amer. Math. Soc. 113 (1991), 425-433
MSC: Primary 47G30; Secondary 35S99, 47E05, 81S05
MathSciNet review: 1049843
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Abstract: Positive elliptic operators from the Helffer-Robert classes of pseudodifferential operators on the line can be approximately factored as products of creation and annihilation operators. Operators of anharmonic oscillators belong to these classes.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1049843-9
PII: S 0002-9939(1991)1049843-9
Article copyright: © Copyright 1991 American Mathematical Society