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Reducibility of quantum harmonic oscillator on Rd perturbed by a quasi: periodic potential with logarithmic decay.
- Source :
-
Calculus of Variations & Partial Differential Equations . Aug2022, Vol. 61 Issue 4, p1-26. 26p. - Publication Year :
- 2022
-
Abstract
- We prove the reducibility of quantum harmonic oscillators in R d perturbed by a quasi-periodic in time potential V (x , ω t) with logarithmic decay . By a new estimate built for solving the homological equation we improve the reducibility result by Grébert-Paturel(Annales de la Faculté des sciences de Toulouse : Mathématiques. 28 , 2019). [ABSTRACT FROM AUTHOR]
- Subjects :
- *HARMONIC oscillators
*CONSTRUCTION cost estimates
Subjects
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 61
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 157529095
- Full Text :
- https://doi.org/10.1007/s00526-022-02267-8