Arrival Times in Quantum Theory from an Irreversible Detector Model | Zendy

J. J. Halliwell | Zendy

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Arrival Times in Quantum Theory from an Irreversible Detector Model

Author(s) -

J. J. Halliwell

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.102.707

Subject(s) - physics , detector , measure (data warehouse) , operator (biology) , interval (graph theory) , connection (principal bundle) , arrival time , state (computer science) , statistical physics , quantum , time of arrival , quantum mechanics , algorithm , combinatorics , optics , biochemistry , chemistry , mathematics , repressor , database , computer science , transcription factor , transport engineering , gene , engineering , telecommunications , structural engineering , wireless

We investigate a detector scheme designed to measure the arrival of aparticle at $x=0$ during a finite time interval. The detector consists of a twostate system which undergoes a transition from one state to the other when theparticle crosses $x=0$, and possesses the realistic feature that it iseffectively irreversible as a result of being coupled to a large environment.The probabilities for crossing or not crossing $x=0$ thereby derived coincidewith earlier phenomenologically proposed expressions involving a complexpotential. The probabilities are compared with similar previously proposedexpressions involving sums over paths, and a connection with time operatorapproaches is also indicated.Comment: 19 pages, plain Tex (Fourth revision). To appear in Prog.Th.Phys. Vol. 102, No.

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