Tajron Jurić

1. Introduction Consider a quantum particle described by a spatially extended wave packet impinging on the detector region D. Since different parts of the packet approach D at different times, there is an inherent quantum uncertainty about the time at which the particle arrival to D will be detected. The arrival time problem refers to making a theoretical prediction for the probability distribution P arr ( t ) that the arrival will be detected at time t.

Abstract Classical measurements are passive, in the sense that they do not affect the physical properties of the measured system. Normally, quantum measurements are not passive in that sense. In the infinite dimensional Hilbert space, however, it is found that quantum projective measurement can be passive in a way which is impossible in finite dimensional Hilbert spaces.

This is an early access version, the complete PDF, HTML, and XML versions will be available soon. Open AccessArticle by Tajron Jurić * and Filip Požar Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia * Author to whom correspondence should be addressed.