Question

A set of states for this system forms a prototypical overcomplete basis for which one can apply E. C. G. Sudarshan’s P representation. The Hardy–Hille formula generalizes the propagator of this system, called the Mehler (10[1])kernel. (10[3]-5[1])Each index (-5[1])in a Fock (10[1])space is given by one of these systems, since a real scalar (-5[1])field (10[1])is represented by infinitely many of these systems coupled together. (10[1]-5[2])Roy (10[1])J. Glauber introduced this system’s canonical coherent states. An independent collection of these systems are modelled in an Einstein solid. (10[6]-5[2])Operators (10[1]-5[1])denoted a (10[1])and (-5[1])a-dagger (10[3]-5[1])are used to solve for this system’s (10[1])energy levels (10[1])and are denoted (10[1])“creation” and “annihilation,” (10[1])respectively. (-5[1])This system’s (10[1])energy levels are quantized in units of h-bar (-5[1])omega. (-5[1])For 10 points, name this non-classical analogue of a mass (10[1])on a spring. (10[3])■END■ (10[12]0[12])

ANSWER: quantum harmonic oscillator [or QHO; prompt on harmonic oscillator]
<Sheffield B, Physics>
= Average correct buzz position

Summary

California2025-02-01Y3100%0%67%114.67
Florida2025-02-01Y1100%0%0%35.00
Great Lakes2025-02-01Y650%0%33%99.33
Lower Mid-Atlantic2025-02-01Y560%0%20%107.33
Midwest2025-02-01Y6100%0%50%102.83
North2025-02-01Y367%0%0%71.00
Northeast2025-02-01Y4100%0%25%93.75
Pacific Northwest2025-02-01Y2100%0%0%52.00
South Central2025-02-01Y2100%0%0%95.50
Southeast2025-02-01Y4100%0%25%111.25
Upper Mid-Atlantic2025-02-01Y989%0%22%98.88
Upstate NY2025-02-01Y367%0%33%108.50

Buzzes

PlayerTeamOpponentBuzz PositionValue
Richard NiuCornell BColumbia B3410
Leo LawFlorida AFlorida B3510
Alex AkridgeIndiana AChicago B35-5
Akshar GoyalIllinois AWashU B3510
Mason YuBrown ABU3510
Adam FineChicago AIllinois C37-5
Matthew WangUBCAlberta4010
Maximilian NieburJohns Hopkins ANYU A52-5
JD KrothIowa StateMinnesota B5310
Rasheeq AzadUNC BLiberty C6310
Joy AnHarvard AHarvard B63-5
Parker McCoigTennessee AAlabama A63-5
Catherine WelchUW AUW B6410
Rohan ShelkeUC Berkeley BUCLA8410
Swapnil GargUC Berkeley AClaremont A84-5
Xavier MigliaccioCarnegie Mellon AKenyon84-5
Calvin BostlemanOhio State ACase Western B8410
Yashwanth BajjiMichigan AOhio State B8410
Nathan SheffieldMIT ABrandeis A8410
Karan GurazadaTexas AASU8410
Jerry VinokurovJohn Jay CollegeVassar A8410
Braden BoothMissouriMissoui S&T85-5
Danny HanPenn AColumbia C8510
Cade ReinbergerRIT ARIT B8710
Alec RisoCornell CCornell D88-5
Mitchell IndekMichigan BCarnegie Mellon B89-5
Ezra SantosChicago BIndiana A8910
Henry BonWinona StateWisconsin A8910
Jack LewisBruin AVanderbilt A8910
Matthew SumanenGeorgia Tech BGeorgia Tech D9610
Isaac MammelMaryland AYale A9810
Aum MundheRutgers AMaryland B10110
Coby TranChicago CIndiana B10410
Nick SmemoeUNC DVirginia Tech A105-5
Viraj NegandhiTexas BTAMU10710
Annika LarsonClaremont BUCSD115-5
Kaiben BennettHaverford BNYU B116-5
Jerry ZhangHarvard BHarvard A12610
Joseph ChambersVirginia ADuke12910
Charles HangWashU AChicago D12910
Arjun BothraHaverford AGeorge Washington B12910
Nolan DannelsUCSDClaremont B13010
Kevin ParkClaremont AUC Berkeley A13010
Sai SubramanianCase Western AMichigan C1300
Jayden KuCarnegie Mellon BMichigan B1300
Cade SmithMichigan StateMichigan D1300
Cole PolleyMichigan DMichigan State1300
Dennis YangMichigan CCase Western A13010
Connor RonanSouth CarolinaLiberty A1300
Vedang SinghalUNC CWilliam & Mary1300
Chris YooWilliam & MaryUNC C1300
Eric ChangVirginia Tech AUNC D13010
Josh SchmidtLiberty ASouth Carolina1300
Sriram KoritalaIllinois CChicago A13010
Jacob HarlMissoui S&TMissouri13010
Aaron MarchandCarletonWisconsin B1300
Elliott GomesDartmouth ATufts A1300
Will ZhangTufts ADartmouth A13010
Jackson McDonaldAlabama ATennessee A13010
Tianyu XuGeorgia Tech ALouisville A13010
Ryan RosenbergNYU AJohns Hopkins A13010
Zaid AsifNYU BHaverford B13010
Leonard CastinePenn BGeorge Washington A1300
Pranaav SenthilkumarCornell DCornell C13010
Elijah O’Sick JohnsonBinghamton AESF A1300