Hierarchy of local minimum solutions of Heisenberg's uncertainty principle

被引:0
|
作者
Hoffman, DK [1 ]
Kouri, DJ
机构
[1] Iowa State Univ, Dept Chem, Ames, IA 50011 USA
[2] Iowa State Univ, Ames Lab, Ames, IA 50011 USA
[3] Univ Houston, Dept Phys, Houston, TX 77204 USA
[4] Univ Houston, Dept Chem, Houston, TX 77204 USA
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive a new hierarchy of local minimum Heisenberg-uncertainty states by introducing a superposition of "small waves" onto some initial state. Our objective is to increase the resolution in one observable, with the least decrease in the resolution in the conjugate observable. This leads to a constrained minimization which in a well-defined sense yields the best possible way of achieving this goal. The results are relevant to many topics (e.g., quantum optics and control, Bose-Einstein condensation, path integration, etc.).
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页码:5263 / 5267
页数:5
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