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One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum (1984)

Daubechies, Ingrid

Springer

Communications in mathematical physics 94 (1984), S. 523-535

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We discuss the discrete spectrum of the operator $$H_K (c) = \left[ { - \hbar ^2 c^2 \Delta + m^2 c^4 } \right]^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} - \sum\limits_{k = 1}^K {Z_k e^2 \left| {x - R_k } \right|^{ - 1} } $$ . More specifically, we study 1) the behaviour of the eigenvalues when the internuclear distances contract, 2) the existence of ac-independent lower bound forH K (c)−mc 2, 3) the nonrelativistic limit of the eigenvalues ofH K (c)−mc 2.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01403885

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