一类非定域势的正能束缚态的缺失
The Absence of Positive Energy Bound States for a Class of Nonlocal Potentials
摘要：
本文推广了Titchmarsh关于Fourier正弦积分正性的一个定理。然后，我们应用该定理导出了具有非局域势的径向薛定谔方程不存在正能量束缚态（嵌入连续介质中的束缚态）的简单条件，非局域势是局域势和可分势的叠加.
英文摘要：
We generalize in this paper a theorem of Titchmarsh for the positivity of Fourier sine integrals. We apply then the theorem to derive simple conditions for the absence of positive energy bound states (bound states embedded in the continuum) for the radial Schrödinger equation with nonlocal potentials which are superposition of a local potential and separable potentials.
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