Abstract

The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The partial classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced, for which the representation of a continuous measurement through the restricted path integral is applied. The classical propagator for the system undergoing a non-selective measurement is derived by summing these partial propagators over the entire outcome set. The elaborated approach is illustrated by considering the non-selective position measurement of a quantum oscillator and a quantum particle.

中文翻译：

---

量子力学概率表示中的连续测量

摘要

讨论了量子力学概率表示中的连续量子测量。引入了与特定测量结果相关联的辛断层图的部分经典传播器，为此应用了通过受限路径积分的连续测量的表示。进行非选择性测量的系统的经典传播器是通过在整个结果集上对这些部分传播器求和来推导出来的。通过考虑量子振荡器和量子粒子的非选择性位置测量来说明详细的方法。