Bound states and inverse scattering for the Schrödinger equation in one dimension
Bound states and inverse scattering for the Schrödinger equation in one dimension
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DOI：
10.1063/1.530671
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发表时间：
1994-12
影响因子：
1.3
通讯作者：
T. Aktosun
中科院分区：
文献类型：
--
作者：
T. Aktosun
当势和它的第一矩是绝对可积时，考虑一维薛定谔方程。当势在左（右）半线上包含支撑时，它只能通过使用来自右（左）的反射系数来构造。束缚态赋范常数决定势是否包含在半线上或全线上的支持。束缚态能和唯一的赋能常数集合产生了包含在左（右）半线上的支持势，完全由来自右（左）的反射系数决定。给出了一个显式示例。
The one‐dimensional Schrodinger equation is considered when the potential and its first moment are absolutely integrable. When the potential has support contained on the left (right) half‐line, it is uniquely constructed by using only the reflection coefficient from the right (left). The bound state norming constants determine whether the potential has support contained on a half‐line or on the full‐line. The bound state energies and the unique set of norming constants yielding the potential with support contained on the left (right) half‐line are completely determined by the reflection coefficient from the right (left). An explicit example is provided.