TY - JOUR

T1 - On the spatial coordinate measurement of two identical particles

AU - Marchewka, Avi

AU - Granot, Er'el

AU - Schuss, Zeev

N1 - Publisher Copyright:
© 2016 Elsevier B.V. All rights reserved.

PY - 2016/4/29

Y1 - 2016/4/29

N2 - Theoretically, the coordinate measurement of two identical particles at a point by two narrowly separated narrow detectors, is interpreted in the limit of shrinking width and separation, as the detection of two particles by a single narrow detector. Ordinarily, the ratio between probabilities of point measurements is independent of the width of the narrow detectors. We show here that not only this is not the case, but that in some scenarios the results depend on the way the dimensions shrink to zero. The ratio between the width and the separation determines the detection result. In particular, it is shown that the bunching parameter of bosons is not a well-defined physical property. Moreover, it may suggests that there is a difficulty in quantum measurement theory in the interpretation of coordinate measurement of two particles.

AB - Theoretically, the coordinate measurement of two identical particles at a point by two narrowly separated narrow detectors, is interpreted in the limit of shrinking width and separation, as the detection of two particles by a single narrow detector. Ordinarily, the ratio between probabilities of point measurements is independent of the width of the narrow detectors. We show here that not only this is not the case, but that in some scenarios the results depend on the way the dimensions shrink to zero. The ratio between the width and the separation determines the detection result. In particular, it is shown that the bunching parameter of bosons is not a well-defined physical property. Moreover, it may suggests that there is a difficulty in quantum measurement theory in the interpretation of coordinate measurement of two particles.

KW - Boson bunching

KW - Spatial measurement

KW - Symmetrization postulate

UR - http://www.scopus.com/inward/record.url?scp=84962542694&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2016.03.017

DO - 10.1016/j.physleta.2016.03.017

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AN - SCOPUS:84962542694

SN - 0375-9601

VL - 380

SP - 1719

EP - 1723

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 20

ER -