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 kernel. Each index in a Fock space is given by one of these systems, since a real scalar 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. Operators denoted a and a-dagger are used to solve for this system’s energy levels and are denoted “creation” and “annihilation,” respectively. This system’s energy levels are quantized in units of h-bar omega. For 10 points, name this non-classical analogue of a mass on a spring. ■END■
| California | 2025-02-01 | Y | 3 | 100% | 0% | 67% | 114.67 |
| Florida | 2025-02-01 | Y | 1 | 100% | 0% | 0% | 35.00 |
| Great Lakes | 2025-02-01 | Y | 6 | 50% | 0% | 33% | 99.33 |
| Lower Mid-Atlantic | 2025-02-01 | Y | 5 | 60% | 0% | 20% | 107.33 |
| Midwest | 2025-02-01 | Y | 6 | 100% | 0% | 50% | 102.83 |
| North | 2025-02-01 | Y | 3 | 67% | 0% | 0% | 71.00 |
| Northeast | 2025-02-01 | Y | 4 | 100% | 0% | 25% | 93.75 |
| Pacific Northwest | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 52.00 |
| South Central | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 95.50 |
| Southeast | 2025-02-01 | Y | 4 | 100% | 0% | 25% | 111.25 |
| Upper Mid-Atlantic | 2025-02-01 | Y | 9 | 89% | 0% | 22% | 98.88 |
| Upstate NY | 2025-02-01 | Y | 3 | 67% | 0% | 33% | 108.50 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Richard Niu | Cornell B | Columbia B | 34 | 10 |
| Leo Law | Florida A | Florida B | 35 | 10 |
| Mason Yu | Brown A | BU | 35 | 10 |
| Akshar Goyal | Illinois A | WashU B | 35 | 10 |
| Alex Akridge | Indiana A | Chicago B | 35 | -5 |
| Adam Fine | Chicago A | Illinois C | 37 | -5 |
| Matthew Wang | UBC | Alberta | 40 | 10 |
| Maximilian Niebur | Johns Hopkins A | NYU A | 52 | -5 |
| JD Kroth | Iowa State | Minnesota B | 53 | 10 |
| Rasheeq Azad | UNC B | Liberty C | 63 | 10 |
| Joy An | Harvard A | Harvard B | 63 | -5 |
| Parker McCoig | Tennessee A | Alabama A | 63 | -5 |
| Catherine Welch | UW A | UW B | 64 | 10 |
| Swapnil Garg | UC Berkeley A | Claremont A | 84 | -5 |
| Rohan Shelke | UC Berkeley B | UCLA | 84 | 10 |
| Xavier Migliaccio | Carnegie Mellon A | Kenyon | 84 | -5 |
| Nathan Sheffield | MIT A | Brandeis A | 84 | 10 |
| Karan Gurazada | Texas A | ASU | 84 | 10 |
| Jerry Vinokurov | John Jay College | Vassar A | 84 | 10 |
| Calvin Bostleman | Ohio State A | Case Western B | 84 | 10 |
| Yashwanth Bajji | Michigan A | Ohio State B | 84 | 10 |
| Braden Booth | Missouri | Missoui S&T | 85 | -5 |
| Danny Han | Penn A | Columbia C | 85 | 10 |
| Cade Reinberger | RIT A | RIT B | 87 | 10 |
| Alec Riso | Cornell C | Cornell D | 88 | -5 |
| Mitchell Indek | Michigan B | Carnegie Mellon B | 89 | -5 |
| Henry Bon | Winona State | Wisconsin A | 89 | 10 |
| Jack Lewis | Bruin A | Vanderbilt A | 89 | 10 |
| Ezra Santos | Chicago B | Indiana A | 89 | 10 |
| Matthew Sumanen | Georgia Tech B | Georgia Tech D | 96 | 10 |
| Isaac Mammel | Maryland A | Yale A | 98 | 10 |
| Aum Mundhe | Rutgers A | Maryland B | 101 | 10 |
| Coby Tran | Chicago C | Indiana B | 104 | 10 |
| Nick Smemoe | UNC D | Virginia Tech A | 105 | -5 |
| Viraj Negandhi | Texas B | TAMU | 107 | 10 |
| Annika Larson | Claremont B | UCSD | 115 | -5 |
| Kaiben Bennett | Haverford B | NYU B | 116 | -5 |
| Jerry Zhang | Harvard B | Harvard A | 126 | 10 |
| Joseph Chambers | Virginia A | Duke | 129 | 10 |
| Charles Hang | WashU A | Chicago D | 129 | 10 |
| Arjun Bothra | Haverford A | George Washington B | 129 | 10 |
| Kevin Park | Claremont A | UC Berkeley A | 130 | 10 |
| Nolan Dannels | UCSD | Claremont B | 130 | 10 |
| Jayden Ku | Carnegie Mellon B | Michigan B | 130 | 0 |
| Cade Smith | Michigan State | Michigan D | 130 | 0 |
| Cole Polley | Michigan D | Michigan State | 130 | 0 |
| Connor Ronan | South Carolina | Liberty A | 130 | 0 |
| Josh Schmidt | Liberty A | South Carolina | 130 | 0 |
| Chris Yoo | William & Mary | UNC C | 130 | 0 |
| Vedang Singhal | UNC C | William & Mary | 130 | 0 |
| Eric Chang | Virginia Tech A | UNC D | 130 | 10 |
| Sriram Koritala | Illinois C | Chicago A | 130 | 10 |
| Aaron Marchand | Carleton | Wisconsin B | 130 | 0 |
| Elliott Gomes | Dartmouth A | Tufts A | 130 | 0 |
| Will Zhang | Tufts A | Dartmouth A | 130 | 10 |
| Jackson McDonald | Alabama A | Tennessee A | 130 | 10 |
| Ryan Rosenberg | NYU A | Johns Hopkins A | 130 | 10 |
| Jacob Harl | Missoui S&T | Missouri | 130 | 10 |
| Tianyu Xu | Georgia Tech A | Louisville A | 130 | 10 |
| Sai Subramanian | Case Western A | Michigan C | 130 | 0 |
| Dennis Yang | Michigan C | Case Western A | 130 | 10 |
| Zaid Asif | NYU B | Haverford B | 130 | 10 |
| Leonard Castine | Penn B | George Washington A | 130 | 0 |
| Elijah O’Sick Johnson | Binghamton A | ESF A | 130 | 0 |
| Pranaav Senthilkumar | Cornell D | Cornell C | 130 | 10 |