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Existence of boundary value problems for TFD equation in quantum mechanics

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Abstract

TFD (Thomas-Fermi-Dirac) equation in quantum mechanics is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.

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Communicated by Lin Zongchi

Biography: Wang Guocan (1963-)

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Guocan, W., Peizhu, D. & Chengde, Z. Existence of boundary value problems for TFD equation in quantum mechanics. Appl Math Mech 21, 243–248 (2000). https://doi.org/10.1007/BF02458526

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  • DOI: https://doi.org/10.1007/BF02458526

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