Arrival Times in Quantum Theory from an Irreversible Detector Model

Details Arrival Times in Quantum Theory from an Irreversible Detector Model Arrival Times in Quantum Theory from an Irreversible Detector Model

1998-05-19

arxiv.org/abs/quant-ph/9805057v5

Prog.Theor.Phys. 102 (1999) 707-717

Physics

Quantum Physics

19 pages, plain Tex (Fourth revision). To appear in Prog.Th.Phys. Vol. 102, No. 4

Scientific paper

10.1143/PTP.102.707

We investigate a detector scheme designed to measure the arrival of a particle at $x=0$ during a finite time interval. The detector consists of a two state system which undergoes a transition from one state to the other when the particle crosses $x=0$, and possesses the realistic feature that it is effectively irreversible as a result of being coupled to a large environment. The probabilities for crossing or not crossing $x=0$ thereby derived coincide with earlier phenomenologically proposed expressions involving a complex potential. The probabilities are compared with similar previously proposed expressions involving sums over paths, and a connection with time operator approaches is also indicated.

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