The self-adjointness of Hermitian Hamiltonians

For several examples of Hermitian operators, the issues involved in their possible self-adjoint extension are shown to conform with recognizable properties in the solutions to the associated classical equations of motion. This result confirms the assertion made in an earlier paper that there are suf...

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Veröffentlicht in:	Foundations of physics 1993-04, Vol.23 (4), p.617-631
Hauptverfasser:	CHENGJUN ZHU, KLAUDER, J. R
Format:	Artikel
Sprache:	eng
Schlagworte:	661100 > Classical & Quantum Mechanics-- (1992-) ANALYTICAL SOLUTION BESSEL FUNCTIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical and quantum physics: mechanics and fields CLASSICAL MECHANICS DIFFERENTIAL EQUATIONS EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FUNCTIONS HAMILTONIANS HERMITIAN OPERATORS MATHEMATICAL OPERATORS MECHANICS PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM MECHANICS QUANTUM OPERATORS 662110 > General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
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Zusammenfassung:	For several examples of Hermitian operators, the issues involved in their possible self-adjoint extension are shown to conform with recognizable properties in the solutions to the associated classical equations of motion. This result confirms the assertion made in an earlier paper that there are sufficient classical [open quotes]symptoms[close quotes] to diagnose any quantum [open quotes]illness.[close quotes] 3 refs.
ISSN:	0015-9018 1572-9516
DOI:	10.1007/BF01883769