Question
One instance of this operation is set equal to “negative one times the interaction Hamiltonian” to transform a system into a dressed ground state in the Schrieffer–Wolff transformation. Hadamard’s lemma, which expresses “e-to-the-B times A times e-to-the-negative-B” in terms of a series of this operation, is a special case of the Baker–Campbell–Hausdorff formula. The time evolution of operators in the (*) Heisenberg picture is given by an instance of this operation containing the Hamiltonian. The expectation of “one over 2 i times an instance of this operation” all squared appears in the generalized uncertainty principle. Two variables are canonically conjugate if applying this operation to them yields “i times h-bar.” For 10 points, name this operation that takes “A and B” and returns “A times B minus B times A.” ■END■
Buzzes
Summary
Tournament | Edition | Exact Match? | TUH | Conv. % | Power % | Neg % | Average Buzz |
---|---|---|---|---|---|---|---|
2024 Chicago Open | 07/28/2024 | Y | 15 | 93% | 53% | 13% | 71.50 |