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 |
| Akshar Goyal | Illinois A | WashU B | 35 | 10 |
| Alex Akridge | Indiana A | Chicago B | 35 | -5 |
| Mason Yu | Brown A | BU | 35 | 10 |
| Leo Law | Florida A | Florida B | 35 | 10 |
| 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 |
| Joy An | Harvard A | Harvard B | 63 | -5 |
| Rasheeq Azad | UNC B | Liberty C | 63 | 10 |
| Parker McCoig | Tennessee A | Alabama A | 63 | -5 |
| Catherine Welch | UW A | UW B | 64 | 10 |
| Nathan Sheffield | MIT A | Brandeis A | 84 | 10 |
| Swapnil Garg | UC Berkeley A | Claremont A | 84 | -5 |
| Rohan Shelke | UC Berkeley B | UCLA | 84 | 10 |
| Karan Gurazada | Texas A | ASU | 84 | 10 |
| Jerry Vinokurov | John Jay College | Vassar A | 84 | 10 |
| Xavier Migliaccio | Carnegie Mellon A | Kenyon | 84 | -5 |
| 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 |
| Ezra Santos | Chicago B | Indiana A | 89 | 10 |
| Henry Bon | Winona State | Wisconsin A | 89 | 10 |
| Jack Lewis | Bruin A | Vanderbilt A | 89 | 10 |
| Mitchell Indek | Michigan B | Carnegie Mellon B | 89 | -5 |
| 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 |
| Cade Smith | Michigan State | Michigan D | 130 | 0 |
| Cole Polley | Michigan D | Michigan State | 130 | 0 |
| Jacob Harl | Missoui S&T | Missouri | 130 | 10 |
| Kevin Park | Claremont A | UC Berkeley A | 130 | 10 |
| Nolan Dannels | UCSD | Claremont B | 130 | 10 |
| 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 |
| Elijah O’Sick Johnson | Binghamton A | ESF A | 130 | 0 |
| Pranaav Senthilkumar | Cornell D | Cornell C | 130 | 10 |
| Jayden Ku | Carnegie Mellon B | Michigan B | 130 | 0 |
| Sai Subramanian | Case Western A | Michigan C | 130 | 0 |
| Dennis Yang | Michigan C | Case Western A | 130 | 10 |
| Tianyu Xu | Georgia Tech A | Louisville A | 130 | 10 |
| Zaid Asif | NYU B | Haverford B | 130 | 10 |
| Leonard Castine | Penn B | George Washington A | 130 | 0 |