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1.
G. A. Mezincescu 《Communications in Mathematical Physics》1993,158(2):315-325
The integrated density of states of the periodic plus random one-dimensional Schrödinger operator
;f0,q
i
()0, has Lifschitz singularities at the edges of the gaps inSp(H
). We use Dirichlet-Neumann bracketing based on a specifically one-dimensional construction of bracketing operators without eigenvalues in a given gap of the periodic ones. 相似文献
2.
We prove for small and satisfying a certain Diophantine condition the operator
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3.
We consider the Schrödinger operatorH = – +V(|x|) onR
3. Letn
denote the number of bound states with angular momentum (not counting the 2 + 1 degeneracy). We prove the following bounds onn
. LetV 0 and d/dr r
1-2p
(-V)1 –p
0 for somep [1/2, 1) then
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