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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 93, Number 1, Pages 94–106
(Mi tmf5740)
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Absence of discrete spectrum of the Schrödinger operators of positive molecular ions
S. A. Vugal'ter St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
For multiatomic positive molecular ions with $N$ electrons and charges $Z_i$ of the nuclei it is shown that there are no bound states for $Z_i>\gamma N$ for some $\gamma$. It is also shown that the discrete spectrum of the Schrödinger operator of a molecular ion is empty if for at least some of the nuclei the condition $Z_i\gg N$ is satisfied, whereas the charges of the other nuclei can be small.
Received: 09.03.1992
Citation:
S. A. Vugal'ter, “Absence of discrete spectrum of the Schrödinger operators of positive molecular ions”, TMF, 93:1 (1992), 94–106; Theoret. and Math. Phys., 93:1 (1992), 1142–1150
Linking options:
https://www.mathnet.ru/eng/tmf5740 https://www.mathnet.ru/eng/tmf/v93/i1/p94
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Statistics & downloads: |
Abstract page: | 208 | Full-text PDF : | 86 | References: | 31 | First page: | 1 |
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