A remark on the essential self-adjointness of Dirac operators
type: Item
instance of: scholarly article
title: A remark on the essential self-adjointness of Dirac operators
zbMATH Open document ID: 0636.47038
author: Osanobu Yamada
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: We consider the essential self-adjointness of Dirac operators \[ H=\sum^{3}_{j=1}\alpha_ jD_ j+\beta +Q(x),\quad x\in {\mathbb{R}}^ 3,\quad D_ j=\frac{1}{i}\frac{\partial}{\partial x_ j}, \] defined on \([C^{\infty}_ 0({\mathbb{R}}^ 3)]^ 4\), where \(\alpha_ j\) and \(\alpha_ 4=\beta\) are \(4\times 4\) Hermitian symmetric matrices satisfying \[ \alpha^ 2_ j=I,\quad \alpha_ j\alpha_ k+\alpha_ k\alpha_ j=0\quad (j\neq k) \] (I is the unit matrix).
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 4036550
zbMATH Keywords: essential self-adjointness of Dirac operators
MaRDI profile type: Publication
full work available at URL: pjaa.62.327
OpenAlex ID: W2061249011
cites work: On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
cites work: Q5526485
cites work: Q5288693
DOI: 10.3792/PJAA.62.327
description: scientific article; zbMATH DE number 4036550