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. Each index in a Fock space is given by one of these systems, since a real scalar (-5[1])field is represented by infinitely many of these systems coupled together. Roy J. Glauber introduced this system’s canonical coherent states. An independent collection of these systems are modelled in an Einstein solid. (10[1])Operators (10[1])denoted a and a-dagger are used to solve for this system’s energy levels (10[1])and are denoted (10[1])“creation” and “annihilation,” respectively. This system’s energy levels are quantized in units of h-bar omega. (-5[1])For 10 points, name this non-classical analogue of a mass on a spring. (10[1])■END■ (10[2]0[1])

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

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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
Maximilian NieburJohns Hopkins ANYU A52-5
Jerry VinokurovJohn Jay CollegeVassar A8410
Danny HanPenn AColumbia C8510
Isaac MammelMaryland AYale A9810
Aum MundheRutgers AMaryland B10110
Kaiben BennettHaverford BNYU B116-5
Arjun BothraHaverford AGeorge Washington B12910
Ryan RosenbergNYU AJohns Hopkins A13010
Zaid AsifNYU BHaverford B13010
Leonard CastinePenn BGeorge Washington A1300