Kato's inequality and essential selfadjointness for the Weyl quantized relativistic Hamiltonian
type: Item
instance of: scholarly article
title: Kato's inequality and essential selfadjointness for the Weyl quantized relativistic Hamiltonian
zbMATH Open document ID: 0705.35116
author: Takashi Ichinose
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: The essential selfadjointness of the general Weyl quantized relativistic Hamiltonian \(H^ m=H^ m_ A+\Phi\) is shown. Here, m is a nonnegative constant. The vector potential A(x) and the scalar potential \(\Phi\) (x) are, respectively, \({\mathbb{R}}^ d\)-valued and \({\mathbb{R}}\)-valued measurable functions in \({\mathbb{R}}^ d\), which satisfy some conditions.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 4157117
zbMATH Keywords: essential selfadjointness
zbMATH Keywords: Weyl quantized relativistic Hamiltonian
reviewed by: Aleksandar Torgašev
MaRDI profile type: Publication
full work available at URL: pjaa.64.367
OpenAlex ID: W2073816815
cites work: The nonrelativistic limit problem for a relativistic spinless particle in an electromagnetic field
cites work: Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
cites work: Schrödinger operators with singular potentials
cites work: Q3794781
cites work: Q4725211
DOI: 10.3792/PJAA.64.367
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description: scientific article; zbMATH DE number 4157117