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Semiclassical asymptotics for exchange energy. (English) Zbl 0877.35108
In this talk we present the very first results of our intervention to the Multiparticle Quantum Theory (MQT). A lot of nice results were obtained by mathematical physicists but the Theory of Semiclassical Spectral Asymptotics (TSSA) was applied only in a few papers and we believe that the systematic application will provide some progress. This is our long term project. However, it is vital to combine methods of TSSA and MQT.
MSC:
35Q40 PDEs in connection with quantum mechanics
81V70 Many-body theory; quantum Hall effect
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
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