Quantum Schrodinger bridges

被引：0
|
作者：
Pavon, M
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
[2] CNR, LADSEB, I-35131 Padua, Italy
来源：
DIRECTIONS IN MATHEMATICAL SYSTEMS THEORY AND OPTIMIZATION | 2003年 / 286卷
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Elaborating on M. Pavon, J. Math. Phys. 40 (1999),5565-5577, we develop a simplified version of a variational principle within Nelson stochastic mechanics that produces the von Neumann wave packet reduction after a position measurement. This stochastic control problem parallels, with a different kinematics, the problem of the Schrodinger bridge. This gives a profound meaning to what was observed by Schrodinger in 1931 concerning Schrodinger bridges: "Merkwurdige Analogien zur Quantenmechanik, die mir sehr des Hindenkens wert erscheinen".
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页码：227 / 238
页数：12
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