Maslov, V. P. On a new variational principle for fermions. (English. Russian original) Zbl 1031.81518 Math. Notes 62, No. 4, 527-528 (1997); translation from Mat. Zametki 62, No. 4, 633-634 (1997). The author gives asymptotic expressions for the first two excited states \(E_0\) and \(E_1\) making use of a generalized variational principle for fermions. He shows further that the ground state energy of a fermionic system with smooth attractive potential is proportional to \(\sqrt{N}\). Cited in 1 ReviewCited in 1 Document MSC: 81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory 81V70 Many-body theory; quantum Hall effect PDFBibTeX XMLCite \textit{V. P. Maslov}, Math. Notes 62, No. 4, 527--528 (1997; Zbl 1031.81518); translation from Mat. Zametki 62, No. 4, 633--634 (1997) Full Text: DOI