FISHER INFORMATION AND THE COMPLEX NATURE OF THE SCHRODINGER WAVE-EQUATION

被引:16
作者
FRIEDEN, BR
机构
[1] Optical Sciences Center, University of Arizona, Tucson, 85721, Arizona
关键词
D O I
10.1007/BF00733343
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the minimum Fisher information (MFI) approach to estimating the probability law p(x) on particle position x, over the class of all two-component laws p(x), yields the complex Schrodinger wave equation. Complexity, in particular, traces from an "efficiency scenario" (demanded by MFI) where the two components of p(x) are so separated that their informations add.
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页码:757 / 771
页数:15
相关论文
共 6 条
[1]  
Dembo Amir, 1990, Technical report no. 75.
[2]   FISHER INFORMATION AS THE BASIS FOR THE SCHRODINGER WAVE-EQUATION [J].
FRIEDEN, BR .
AMERICAN JOURNAL OF PHYSICS, 1989, 57 (11) :1004-1008
[3]  
FRIEDEN BR, 1990, PHYSICAL REV A, V15, P4265
[4]  
KORN GA, 1968, MATH HDB SCI ENG, P356
[5]  
Schrodinger E, 1926, Ann. Phys. (NY), V385, P437, DOI DOI 10.1002/ANDP.19263861802
[6]  
VANTREES HL, 1968, DETECTION ESTIMATION, P65