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- W3049207738 abstract "Necessary and sufficient conditions for quantum Hamiltonians to be exactly solvable within mean-field theories have not been formulated so far. To resolve this problem, first, we define what mean-field theory is, independently of a Hamiltonian realization in a particular set of operators. Second, using a Lie-algebraic framework we formulate a criterion for a Hamiltonian to be mean-field solvable. The criterion is applicable for both distinguishable and indistinguishable particle cases. For the electronic Hamiltonians, our approach reveals the existence of mean-field solvable Hamiltonians of higher fermionic operator powers than quadratic. Some of the mean-field solvable Hamiltonians require different sets of quasi-particle rotations for different eigenstates, which reflects a more complicated structure of such Hamiltonians." @default.
- W3049207738 created "2020-08-21" @default.
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- W3049207738 date "2020-08-15" @default.
- W3049207738 modified "2023-09-27" @default.
- W3049207738 title "How to define quantum mean-field solvable Hamiltonians?" @default.
- W3049207738 hasPublicationYear "2020" @default.
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