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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1969 Volume 1, Number 2, Pages 295–302 (Mi tmf4577)

This article is cited in 3 papers

Spectrum of molecular electron energy operators in spaces of functions of specified symmetry

G. M. Zhislin, E. L. Mandel'


Abstract: The spectrum of the molecular electron energy operator $H$ is investigated for the case of molecules with fixed nuclei situated such that transformations of the point group $G$ carry identical nuclei into each other. On the spaces of electron wavefuuctions corresponding to the product of irreducible representations of the permutation groups $S_n$ and $G$, the limiting spectrum $H$ is found, and the existence of an infinite number of points of the discrete spectrum is proved for neutral molecules and for positive molecular ions.

Received: 23.04.1969


 English version:
Theoretical and Mathematical Physics, 1969, 1:2, 227–232

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© Steklov Math. Inst. of RAS, 2024