具有交叉磁场和电场的算子的谱移函数
Spectral shift function for operators with crossed magnetic and electric fields
摘要：
我们得到了谱移函数$ξ(λ; B, ε)$关于算子$H_0(B,ε) = (D_x - By)^2 + D_y^2 + εx$和$H(B, ε) = H_0(B, ε) + V(x,y), \: B > 0, ε> 0$的导数的一个表示公式。本文建立了$H(B, ε)$的极限吸收原理和$ξ'(λ; B, ε)$的${\mathcal O}(ε^{n-2})$估计值，其中$λ\notin σ(Q)$
英文摘要：
We obtain a representation formula for the derivative of the spectral shift function $ξ(λ; B, ε)$ related to the operators $H_0(B,ε) = (D_x - By)^2 + D_y^2 + εx$ and $H(B, ε) = H_0(B, ε) + V(x,y), \: B > 0, ε> 0$. We establish a limiting absorption principle for $H(B, ε)$ and an estimate ${\mathcal O}(ε^{n-2})$ for $ξ'(λ; B, ε)$, provided $λ\notin σ(Q)$, where $Q = (D_x - By)^2 + D_y^2 + V(x,y).$
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
