Question

Systems that lack this property may have eigenmode crossings at exceptional points, which have been observed in microwave cavities. Bender and Boettcher proved that PT-symmetric systems have a “pseudo” form of this property, a fact used to create “cloaking” gratings and invisible sensors. Many open quantum systems with controlled dissipation can be described by an effective Hamiltonian that lacks this property, breaking probability conservation. (-5[1])Any two-level Hamiltonian with this property can be expressed as a superposition of the identity matrix and the (*) Pauli matrices. If an operator (10[1])A has this property, then the exponential of i times A is unitary. Observables in quantum mechanics (10[1])are assumed to have this (-5[1])property, (10[1])which implies that eigenvalues are real (10[1])and eigenvectors are orthogonal. (-5[1])For 10 points, name this property possessed by a matrix that equals its conjugate (10[1])transpose. ■END■ (10[3]0[1])

ANSWER: Hermitian [or self-adjoint; prompt on conservative by asking “what property does that imply?”]
<Vincent Du, Physics>
= Average correct buzz position

Summary

2023 Chicago Open08/05/2023Y989%0%33%118.88

Buzzes

PlayerTeamOpponentBuzz PositionValue
Kevin YeEvans Hall destruction awaitersBHSU63-5
Eric Bobrowwave2: trimming membership codes 9655377758gpCurse you, Periplus the Platypus!8610
Andrew WangThe anti-STOON-dahl cabal (the tall Keyal et al.)In Search of Things Past10310
Ali HamzehI prefer really not to speak. If I speak I’m in big troubleTeam Name Think Detail108-5
Rein OtsasonThe CanadiansRomanos IV Diogenes’ Macaroni Grill10910
Adam FineThe Catastrophic Implosion of Packet Subremembrance of lost time11510
Conor Thompson[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?Saint Peter Andre 3000119-5
Jeremy CummingsHang et al., Robert BrowningTeach Us to Outgrow Our Ladness13310
Billy BusseBHSUEvans Hall destruction awaiters13510
Mike SoriceTeam Name Think DetailI prefer really not to speak. If I speak I’m in big trouble13510
Kevin WangI would prefer not toThe Plague (anime)" was redirected to: "Oran High School Host Club13510
Shahar SchwartzSaint Peter Andre 3000[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?1350