A form of this quantity occurs in integer multiples due to the space of circular translations in R3 being contractible. By using this quantity’s components as the basis for a Lie algebra, one can derive the Wigner D-matrix. This quantity’s inner product with itself can be described as the Casimir element of the Lie (“lee”) algebra su(2, C) (“S-U-two-C”). The values of this quantity span the group SO(3) (“S-O-three”). This quantity’s components commute with its square but not with each other. The coupling of this quantity is described by the Clebsch–Gordan coefficients. This quantity is equal to integer multiples of h-bar in the Bohr model. In atoms, this quantity is characterized by the azimuthal and magnetic quantum numbers. For 10 points, name this quantity that comes in “orbital” and “intrinsic” forms, the latter of which is spin. ■END■
| California | 2025-02-01 | Y | 3 | 100% | 0% | 33% | 93.67 |
| Florida | 2025-02-01 | Y | 3 | 100% | 0% | 0% | 108.33 |
| Midwest | 2025-02-01 | Y | 6 | 100% | 0% | 0% | 78.83 |
| Overflow | 2025-02-01 | Y | 4 | 75% | 0% | 0% | 85.67 |
| Pacific Northwest | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 77.00 |
| South Central | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 106.50 |
| Southeast | 2025-02-01 | Y | 3 | 100% | 0% | 67% | 131.67 |
| UK | 2025-02-01 | Y | 5 | 100% | 0% | 40% | 96.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Swapnil Garg | UC Berkeley A | Claremont B | 54 | 10 |
| Andrew Wang | Illinois A | Illinois C | 54 | 10 |
| Delia Cropper | Oxford A | LSE | 56 | 10 |
| Cormac Stephenson | Southampton A | Warwick B | 71 | -5 |
| Leo Law | Florida A | UCF B | 77 | 10 |
| Matthew Wang | UBC | UW B | 77 | 10 |
| Catherine Welch | UW A | Alberta | 77 | 10 |
| Linus Luu | Cambridge D | Imperial B | 77 | 10 |
| Yash Mandavia | Illinois B | Chicago A | 77 | 10 |
| Bryan Ugaz | ASU | Texas A | 79 | 10 |
| James Byrne | Bristol | Cambridge B | 79 | 10 |
| Alex Akridge | Indiana A | Missoui S&T | 79 | 10 |
| Michał Gerasimiuk | Stanford B | Notre Dame B | 82 | 10 |
| Parker McCoig | Tennessee A | Alabama A | 82 | -5 |
| John John Groger | WashU B | Chicago C | 87 | 10 |
| Maya Kvaratskhelia | Notre Dame A | Purdue | 87 | 10 |
| Wyatt Curry | Missouri | Indiana B | 88 | 10 |
| Sharath Narayan | Northwestern A | Northwestern B | 88 | 10 |
| Ezra Santos | Chicago B | WashU A | 88 | 10 |
| Rohan Shelke | UC Berkeley B | UCSD | 93 | 10 |
| Samir Sarma | Georgia Tech D | Bruin A | 114 | -5 |
| Jacob Price | Sheffield | Oxford C | 114 | -5 |
| Bill Zhao | Florida B | Florida State A | 114 | 10 |
| Kevin Park | Claremont A | UCLA | 125 | -5 |
| Arunn Sankar | Georgia Tech B | Louisville A | 127 | 10 |
| Kaiser Xiao | UCLA | Claremont A | 134 | 10 |
| Clete Reinberger | Valencia A | UCF C | 134 | 10 |
| Brielle Rach | Iowa | Georgetown B | 134 | 0 |
| Ben Horning | Georgetown B | Iowa | 134 | 0 |
| Viraj Negandhi | Texas B | TAMU | 134 | 10 |
| Jack Lewis | Bruin A | Georgia Tech D | 134 | 10 |
| Jackson McDonald | Alabama A | Tennessee A | 134 | 10 |
| Benjamin Liu | Oxford C | Sheffield | 134 | 10 |
| Tobin Payne | Warwick B | Southampton A | 134 | 10 |