Example of two different potentials which have practically the same fixed-energy phase shifts
نویسندگان
چکیده
منابع مشابه
Piecewise-constant Positive Potentials with Practically the Same Fixed-energy Phase Shifts
It has recently been shown that spherically symmetric potentials of finite range are uniquely determined by the part of their phase shifts at a fixed energy level k > 0. However, numerical experiments show that two quite different potentials can produce almost identical phase shifts. It has been guessed by physicists that such examples are possible only for ”less physical” oscillating and chang...
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An identification of a spherically symmetric potential by its phase shifts is an important physical problem. Recent theoretical results assure that such a potential is uniquely defined by a sufficiently large subset of its phase shifts at any one fixed energy level. However, two different potentials can produce almost identical phase shifts. That is, the inverse problem of the identification of...
متن کاملStable identification of piecewise-constant potentials from fixed-energy phase shifts
An identification of a spherically symmetric potential by its phase shifts is an important physical problem. Recent theoretical results assure that such a potential is uniquely defined by a sufficiently large subset of its phase shifts at any one fixed energy level. However, two different potentials can produce almost identical phase shifts. That is, the inverse problem of the identification of...
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X iv :q ua nt -p h/ 06 04 06 2v 1 1 0 A pr 2 00 6 The Fixed-point Quantum Search for Different Phase Shifts Dafa Li Department of mathematical sciences Tsinghua University, Beijing 100084 CHINA email:[email protected] Xiangrong Li Department of Mathematics University of California, Irvine, CA 92697-3875, USA Hongtao Huang Electrical Engineering and Computer Science Department University ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1999
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00134-6