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Adiabatic Evolution and Shape Resonances.
- Format:
- Book
- Author/Creator:
- Hitrik, Michael.
- Series:
- Memoirs of the American Mathematical Society
- Memoirs of the American Mathematical Society ; v.280
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Adiabatic invariants.
- Physical Description:
- 1 online resource (102 pages)
- Edition:
- 1st ed.
- Place of Publication:
- Providence : American Mathematical Society, 2022.
- Summary:
- "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"-- Provided by publisher.
- Notes:
- Description based on publisher supplied metadata and other sources.
- Other Format:
- Print version: Hitrik, Michael Adiabatic Evolution and Shape Resonances
- ISBN:
- 9781470472801
- 1470472805
- OCLC:
- 1350688349
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