Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators
| Autor: | Victor Ivrii |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
010102 general mathematics
Scalar (mathematics) Microlocal analysis Semiclassical physics Lambda 01 natural sciences Elliptic operator Operator (computer programming) Periodic perturbation 0103 physical sciences 010307 mathematical physics Spectral function 0101 mathematics Mathematics Mathematical physics |
| Zdroj: | Trends in Mathematics ISBN: 9783030373252 Microlocal Analysis, Sharp Spectral Asymptotics and Applications V ISBN: 9783030305604 |
| DOI: | 10.1007/978-3-030-37326-9_12 |
| Popis: | Under certain assumptions we derive a complete semiclassical asymptotics of the spectral function \(e_{h,\varepsilon }(x, x,\lambda )\) for a scalar operator $$\begin{aligned} A_\varepsilon (x, hD)= A^0(hD) + \varepsilon B(x, hD), \end{aligned}$$ where \(A^0\) is an elliptic operator and B(x, hD) is a periodic or almost periodic perturbation. |
| Databáze: | OpenAIRE |
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