Authors: Cojuhari P. A.
Abstract
Some conditions which guarantee the absence of eigenvalues for the differential operator
$$
H=P(D)+\sum^{n-1}_{k=0}q_k(x)D^k,
$$
are established. Here $D=id/dx$, $P(\xi)=a_n\xi^n+\dots + a_1\xi + a_0$ is a polynomial with complex coefficients
$(a_n\ne 0)$, $q_k(x)$, $(k=0,1,\dots ,n-1$; $0
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