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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 3, Pages 381–396
DOI: https://doi.org/10.4213/tmf6476 (Mi tmf6476) 		 
Estimates for the interaction potential between two atoms

V. A. Malysheva, R. A. Minlosb

a Lomonosov Moscow State University, Moscow, Russia
b Kharkevich Institute for Information Transmission Problems, RAS, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf6476
Abstract: We consider a quantum system consisting of two electrons in the Coulomb field of two immovable nuclei spaced at a fixed distance, which is considered the problem parameter. We use spectral theory methods to obtain estimates of the system ground-state energy as a function of the internuclear distance. We obtain part of the results under the assumption that the Coulomb interaction constant between different atoms is small. We discuss the importance of the presented investigation for quantum chemistry.
Keywords: spectrum of the Schrödinger operator, quantum chemistry, hydrogen molecule.
Received: 02.06.2009
Revised: 10.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 317–331
DOI: https://doi.org/10.1007/s11232-010-0024-4
Bibliographic databases:
Language: Russian
Citation: V. A. Malyshev, R. A. Minlos, “Estimates for the interaction potential between two atoms”, TMF, 162:3 (2010), 381–396; Theoret. and Math. Phys., 162:3 (2010), 317–331
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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