Reversibility and regularity

被引:1
|
作者
Gustafson, Karl [1 ]
机构
[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA
关键词
Zeno problem; reversibility; regularity; quantum mechanical measurement;
D O I
10.1007/s10773-006-9323-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Zeno problem of quantum mechanical measurement theory is revisited. A fundamental underlying domain issue is clarified. An alternative formulation for the Zeno problem is given. A new operator-theoretic characterization of reversibility in terms of domain regularity preservation is announced. From these considerations one arrives at a new perspective in which von Neumann's Projection theory and the later Effects theory of Ludwig are seen within an enlarged theory of Measurors and Preparors. It is a Schrodinger picture in which one must be able to account for all wave functions upon which the Hamiltonian can act before one is entitled to draw conclusions about the evolving probabilities.
引用
收藏
页码:1867 / 1880
页数:14
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