TY - JOUR

T1 - Measurement as absorption of Feynman trajectories

T2 - Collapse of the wave function can be avoided

AU - Marchewka, A.

AU - Schuss, Z.

PY - 2002

Y1 - 2002

N2 - We define a measuring device (detector) of the coordinate of quantum particle as an absorbing wall that cuts off the particle’s wave function. The wave function in the presence of such a detector vanishes on the detector. The trace the absorbed particles leave on the detector is identified as the absorption current density on the detector. This density is calculated from the solution of Schrödinger’s equation with a reflecting boundary at the detector. This current density is not the usual Schrödinger current density. We define the probability distribution of the time of arrival to a detector in terms of the absorption current density. We define coordinate measurement by an absorbing wall in terms of four postulates. In the resulting theory the quantum-mechanical collapse of the wave function is replaced with the usual collapse of the probability distribution after observation. Two measurement experiments are proposed to measure time of arrival and the probability density function of a freely propagating two-dimensional Gaussian packet from the measurement of the absorption current on two planes.

AB - We define a measuring device (detector) of the coordinate of quantum particle as an absorbing wall that cuts off the particle’s wave function. The wave function in the presence of such a detector vanishes on the detector. The trace the absorbed particles leave on the detector is identified as the absorption current density on the detector. This density is calculated from the solution of Schrödinger’s equation with a reflecting boundary at the detector. This current density is not the usual Schrödinger current density. We define the probability distribution of the time of arrival to a detector in terms of the absorption current density. We define coordinate measurement by an absorbing wall in terms of four postulates. In the resulting theory the quantum-mechanical collapse of the wave function is replaced with the usual collapse of the probability distribution after observation. Two measurement experiments are proposed to measure time of arrival and the probability density function of a freely propagating two-dimensional Gaussian packet from the measurement of the absorption current on two planes.

UR - http://www.scopus.com/inward/record.url?scp=85035302986&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.65.042112

DO - 10.1103/PhysRevA.65.042112

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AN - SCOPUS:85035302986

SN - 1050-2947

VL - 65

SP - 10

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 4

ER -