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 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■
Summary
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 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Richard Niu | Cornell B | Columbia B | 34 | 10 |
Leo Law | Florida A | Florida B | 35 | 10 |
Alex Akridge | Indiana A | Chicago B | 35 | -5 |
Akshar Goyal | Illinois A | WashU B | 35 | 10 |
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 |
Joy An | Harvard A | Harvard B | 63 | -5 |
Parker McCoig | Tennessee A | Alabama A | 63 | -5 |
Catherine Welch | UW A | UW B | 64 | 10 |
Rohan Shelke | UC Berkeley B | UCLA | 84 | 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 |
Nathan Sheffield | MIT A | Brandeis A | 84 | 10 |
Karan Gurazada | Texas A | ASU | 84 | 10 |
Jerry Vinokurov | John Jay College | Vassar A | 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 |
Henry Bon | Winona State | Wisconsin A | 89 | 10 |
Jack Lewis | Bruin A | Vanderbilt 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 |
Nolan Dannels | UCSD | Claremont B | 130 | 10 |
Kevin Park | Claremont A | UC Berkeley A | 130 | 10 |
Sai Subramanian | Case Western A | Michigan C | 130 | 0 |
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 |
Dennis Yang | Michigan C | Case Western A | 130 | 10 |
Connor Ronan | South Carolina | Liberty A | 130 | 0 |
Vedang Singhal | UNC C | William & Mary | 130 | 0 |
Chris Yoo | William & Mary | UNC C | 130 | 0 |
Eric Chang | Virginia Tech A | UNC D | 130 | 10 |
Josh Schmidt | Liberty A | South Carolina | 130 | 0 |
Sriram Koritala | Illinois C | Chicago A | 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 |
Jackson McDonald | Alabama A | Tennessee A | 130 | 10 |
Tianyu Xu | Georgia Tech A | Louisville 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 |
Pranaav Senthilkumar | Cornell D | Cornell C | 130 | 10 |
Elijah O’Sick Johnson | Binghamton A | ESF A | 130 | 0 |