Non-Hermitian operators, localization problem, and the conservation of fermion number
type: Item
instance of: scholarly article
title: Non-Hermitian operators, localization problem, and the conservation of fermion number
zbMATH Open document ID: 0618.53065
DOI: 10.1007/BF00669596
author: Pratul Bandyopadhyay
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: The well-known localization problem for relativistic particles in quantum theory is considered. It is suggested that the non-Hermitian position operator describes two real physical quantities, a center of mass position and an internal helicity (which the author identifies with the fermion number). Hence such a particle is in some vague sense extended.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 4003007
zbMATH Keywords: localization problem
zbMATH Keywords: relativistic particles
zbMATH Keywords: position operator
zbMATH Keywords: center of mass
zbMATH Keywords: internal helicity
reviewed by: A. O. Barut
MaRDI profile type: Publication
cites work: On the Localizability of Massless Particles
cites work: Lorentz-Invariant Localization for Elementary Systems. II
cites work: A reinterpretation of the notion of localization
cites work: Imprimitivity for Representations of Locally Compact Groups I
cites work: Induced representation of locally compact groups. I
cites work: Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
cites work: Unitary representations of group extensions. I
cites work: Localized States for Elementary Systems
full work available at URL: https://doi.org/10.1007/bf00669596
OpenAlex ID: W2070240102
description: scientific article; zbMATH DE number 4003007