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 |
| Akshar Goyal | Illinois A | WashU B | 35 | 10 |
| Alex Akridge | Indiana A | Chicago B | 35 | -5 |
| Mason Yu | Brown A | BU | 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 |
| Parker McCoig | Tennessee A | Alabama A | 63 | -5 |
| Rasheeq Azad | UNC B | Liberty C | 63 | 10 |
| Joy An | Harvard A | Harvard B | 63 | -5 |
| Catherine Welch | UW A | UW B | 64 | 10 |
| Swapnil Garg | UC Berkeley A | Claremont A | 84 | -5 |
| 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 |
| Jerry Vinokurov | John Jay College | Vassar A | 84 | 10 |
| Rohan Shelke | UC Berkeley B | UCLA | 84 | 10 |
| Nathan Sheffield | MIT A | Brandeis A | 84 | 10 |
| Karan Gurazada | Texas A | ASU | 84 | 10 |
| Danny Han | Penn A | Columbia C | 85 | 10 |
| Braden Booth | Missouri | Missoui S&T | 85 | -5 |
| 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 |
| Jack Lewis | Bruin A | Vanderbilt A | 89 | 10 |
| Ezra Santos | Chicago B | Indiana A | 89 | 10 |
| Henry Bon | Winona State | Wisconsin 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 |
| Arjun Bothra | Haverford A | George Washington B | 129 | 10 |
| Joseph Chambers | Virginia A | Duke | 129 | 10 |
| Charles Hang | WashU A | Chicago D | 129 | 10 |
| Kevin Park | Claremont A | UC Berkeley A | 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 |
| Cade Smith | Michigan State | Michigan D | 130 | 0 |
| Cole Polley | Michigan D | Michigan State | 130 | 0 |
| Tianyu Xu | Georgia Tech A | Louisville A | 130 | 10 |
| Jackson McDonald | Alabama A | Tennessee A | 130 | 10 |
| Ryan Rosenberg | NYU A | Johns Hopkins 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 |
| 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 |
| Nolan Dannels | UCSD | Claremont B | 130 | 10 |
| Jacob Harl | Missoui S&T | Missouri | 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 |