Some Energy Inequalities for Two-Body Problems and Helium Dimer |
S. Kilić and B. Krivić Faculty of Natural Science, University of Split, 21000 Split, Croatia |
Received: October 10, 1997; revised version December 8, 1997; in final form January 12, 1998 |
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It is shown that the energy of two particles in 2D (2 dimensions) is always less or equal than energy in 1D, and the energy in 3D can be less or greater than in 2D. The application to the important case of helium 4 dimer shows that this molecule may have only in 2D at least one bound excited state |
DOI: 10.12693/APhysPolA.93.611 PACS numbers: 36.90.+f |