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 |
| Rasheeq Azad | UNC B | Liberty C | 63 | 10 |
| Parker McCoig | Tennessee A | Alabama A | 63 | -5 |
| Joy An | Harvard A | Harvard B | 63 | -5 |
| Catherine Welch | UW A | UW B | 64 | 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 |
| Jerry Vinokurov | John Jay College | Vassar A | 84 | 10 |
| Swapnil Garg | UC Berkeley A | Claremont A | 84 | -5 |
| Rohan Shelke | UC Berkeley B | UCLA | 84 | 10 |
| Nathan Sheffield | MIT A | Brandeis A | 84 | 10 |
| Karan Gurazada | Texas A | ASU | 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 |
| Ezra Santos | Chicago B | Indiana A | 89 | 10 |
| Jack Lewis | Bruin A | Vanderbilt 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 |
| 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 |
| 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 |
| Ryan Rosenberg | NYU A | Johns Hopkins A | 130 | 10 |
| Kevin Park | Claremont A | UC Berkeley A | 130 | 10 |
| Eric Chang | Virginia Tech A | UNC D | 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 |
| Tianyu Xu | Georgia Tech A | Louisville A | 130 | 10 |
| Jackson McDonald | Alabama A | Tennessee 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 |
| Nolan Dannels | UCSD | Claremont B | 130 | 10 |
| Sriram Koritala | Illinois C | Chicago A | 130 | 10 |