Essential selfadjointness and invariance of the essential spectrum for Dirac operators

Autor:	Masaharu Arai, Osanobu Yamada
Rok vydání:	1982
Předmět:	Measurable function General Mathematics Essential spectrum Mathematical analysis Dirac (software) Hilbert space Dirac algebra Dirac operator Hermitian matrix symbols.namesake Dirac spinor symbols Mathematics Mathematical physics
Zdroj:	Publications of the Research Institute for Mathematical Sciences. 18:973-985
ISSN:	0034-5318
DOI:	10.2977/prims/1195183289
Popis:	where «_,(j = 1, 2, 3) and a4 = /? are Hermitian symmetric, constant, 4x4 matrices and satisfy the anti-commutation relations (U) aLjQik + aikaij = 2djkI (/, k = l, 2, 3, 4) (/ is the 4x4 unit matrix). Throughout this paper the potential Q(x) is assumed to be an Hermitian symmetric 4x4 matrix-valued measurable function. The Dirac operator is treated in the Hilbert space ^ = [L(U)] associated with the norm
Databáze:	OpenAIRE
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