期刊
PHYSICS LETTERS A
卷 280, 期 4, 页码 173-176出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(01)00059-7
关键词
Schrodinger-Newton; gravitational reduction
We use the variational form of the stationary Schrodinger-Newton equations to find a lower bound for the ground state energy. The bound on the energy is incompatible with the value proposed by Kumar and Soni (Phys. Lett. A 271 (2000) 157) but consistent with the numerical values in the literature. To obtain the bound, we prove an identity which also shows that the eigenvalues of the Schrodinger-Newton equations are all negative. (C) 2001 Elsevier Science B.V. All rights reserved.
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