Search for a Nonlinear Variant of the Schrödinger Equation by Neutron Interferometry
Search for a Nonlinear Variant of the Schrödinger Equation by Neutron Interferometry
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通过中子干涉测量法搜索薛定谔方程的非线性变体
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
M. Horne
中科院分区：
文献类型：
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作者：
C. G. Shull;D. K. Atwood;J. Arthur;M. Horne
用慢中子干涉仪系统检验了薛定谔方程的一个非线性变形：partialpsi（r，t）/partialt=（-h/sup 2//2 m）del/sup 2/+U（r，t））psi -B ln（a/sup 3/vertical-barpsisvertical-bar/sup 2/）psi。如果这个方程是正确的，那么，正如Shimony所建议的那样，在中子束下游重新定位衰减板将产生相位修改。没有发现超过实验不确定性的可测量的相移，并确定能量常数B的上限为3.4 x 10/sup-13/ eV。
A slow-neutron interferometer system has been used to test a nonlinear variant of the Schroedinger equation ih partialpsi(r,t)/partialt=(-h/sup 2//2m)del/sup 2/+U(r,t))psi -b ln(a/sup 3/vertical-barpsivertical-bar/sup 2/)psi. If this equation were correct, then, as Shimony has suggested, repositioning an attenuating plate downstream in a neutron beam would produce a phase modification. No measurable phase shift beyond experimental uncertainty was found and an upper limit of 3.4 x 10/sup -13/ eV for the energy constant b was established.