[理论室学术报告] The Borland-Dennis discovery and its inspiration
||Jiangmin Zhang (张江敏)
Max-Planck-Institute-PKS, Dresden, Germany
摘要：The antisymmetry condition on a fermionic wave function has deep consequences, far beyond the commonplace of the Pauli exclusion principle. This is exactly what the celebrated ``N-representability'' problem is about. In this talk, I would like to make this point appreciated by more people by using the surprising discovery made by Borland and Dennis in 1972. This discovery is about three fermions in six orbitals. The discovery itself and the methodology behind are both very stimulating---It was made by numerical experiments; No one can guess it by analytic thought! This discovery was the first non-trivial result on the ``N-representability'' problem, but a complete proof was missing until 2006. In this talk, a simple proof based on the concept of the best Slater approximation of a fermionic wave function will be given. But the talk will be more about inspirations than about facts.