Quantum Schroedinger bridges
量子物理
2007-05-23 v1
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 Schroedinger bridge. This gives a profound meaning to what was observed by Schroedinger in 1931 concerning Schroedinger bridges: "Merkwuerdige Analogien zur Quantenmechanik, die mir sehr des Hindenkens wert erscheinen".
引用
@article{arxiv.quant-ph/0306052,
title = {Quantum Schroedinger bridges},
author = {Michele Pavon},
journal= {arXiv preprint arXiv:quant-ph/0306052},
year = {2007}
}
备注
15 pages, dedicated to Anders Lindquist on the occasion of his 60th birthday