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For a particle in a box, this quantity equals n-squared times pi-squared times h-bar-squared, all divided by 2 m L squared. This quantity is respectively raised and lowered by operators denoted a-plus and a-minus. This quantity is an eigenvalue of the time-independent Schrödinger equation, which states that this quantity times psi equals the Hamiltonian times psi. A form of the uncertainty principle relates the uncertainties of time and this quantity. Max Planck postulated that a photon’s value of this quantity equals h times frequency. This quantity is minimized in the ground state. For 10 points, what quantity can be divided into “kinetic” and “potential” forms? ■END■
| Upstate NY | Main | Y | 5 | 100% | 0% | 40% | 84.00 |
| Southern California | Main | Y | 7 | 100% | 0% | 29% | 58.14 |
| Eastern Canada (1) | Main | Y | 5 | 100% | 0% | 80% | 97.20 |
| Eastern Canada (2) | Main | Y | 9 | 100% | 0% | 11% | 71.56 |
| Florida | Main | Y | 4 | 100% | 0% | 25% | 78.50 |
| Great Lakes | Main | Y | 11 | 91% | 0% | 36% | 58.60 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 22% | 91.00 |
| Upper Mid-Atlantic | Main | Y | 12 | 100% | 0% | 58% | 80.00 |
| Midwest | Main | Y | 9 | 100% | 0% | 11% | 53.78 |
| North | Main | Y | 4 | 100% | 0% | 25% | 60.50 |
| Northeast | Main | Y | 12 | 100% | 0% | 50% | 79.42 |
| Pacific | Main | Y | 8 | 100% | 0% | 38% | 78.63 |
| South Central | Main | Y | 7 | 100% | 0% | 57% | 87.14 |
| Southeast | Main | Y | 13 | 100% | 0% | 23% | 74.08 |
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 38.75 |
| UK (South) | UK | Y | 8 | 100% | 0% | 25% | 68.88 |
| UK (North) | UK | Y | 5 | 80% | 0% | 60% | 78.25 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Beckett Pursey | Purdue B | Indiana A | 11 | 10 |
| Ba Loc Dinh | Illinois Urbana | Iowa A | 11 | 10 |
| Danny Han | Stanford B | Berkeley Mighty Miner | 13 | 10 |
| Sai Subramanian | CWRU A | Michigan D | 13 | 10 |
| Pace Klein | CWRU B | CWRU C | 13 | 10 |
| Will Huang | Wisconsin A | Macalester | 13 | 10 |
| Justin Sato | Stanford A | Berkeley Skeleton King | 15 | 10 |
| Taman Truong | USC B | Claremont C | 15 | 10 |
| Oliver Thompson | CWRU D | Michigan State A | 15 | 10 |
| Annika Larson | Claremont A | UCLA B | 17 | 10 |
| Nathan Woolery | Louisville C | Michigan C | 17 | 10 |
| Drew Wetterlind | Iowa State | St. Thomas | 19 | 10 |
| James Xiao | Toronto A | McMaster A | 20 | 10 |
| Dominic Heffron | Florida Tech A | Florida A | 20 | 10 |
| Henry Ding | Princeton | Maryland A | 20 | 10 |
| Nikhil Nair | Boston University B | Brandeis Beethoven | 20 | 10 |
| Graham Dirks | Kansas State A | Harding | 20 | 10 |
| Amelia Rees | Durham A | Durham B | 20 | 10 |
| Aarnav Vyas | Illinois Orange | Purdue C | 22 | 10 |
| Siheon Lee | Imperial C | Cambridge B | 23 | -5 |
| Vedh Ramesh | Penn | Vassar B | 27 | -5 |
| Samuel Gao | British Columbia C | Arizona State A | 29 | 10 |
| Aaryan Sumesh | Berkeley Archer Queen | Berkeley Boss Bandit | 31 | 10 |
| Skand Parvatikar | Arizona State B | Texas | 31 | 10 |
| Daniel Chen | Emory A | Georgia Tech F | 31 | 10 |
| Malcolm Meyn | McGill C | McGill B | 33 | -5 |
| Omer Korkmaz | Johns Hopkins | Columbia A | 33 | 10 |
| Ollie Glin-Conway | Imperial D | Imperial B | 33 | 10 |
| Anne Fjeld | Alberta A | British Columbia B | 34 | -5 |
| Nathan Whittington | Tennessee A | Georgia Tech C | 34 | 10 |
| Bokei Thompson | Amherst B | Dartmouth A | 38 | 10 |
| Vikram Rajmohan | Amherst A | Williams B | 42 | 10 |
| Lucas Hall | Waterloo C | Toronto G | 43 | 10 |
| Jiping Fang | Illinois Blue | Illinois Canada | 43 | 10 |
| Wesley Stine | Clemson A | Alabama A | 43 | 10 |
| Ahmed Azhari | Cambridge E | Oxford | 43 | 10 |
| Daniel Abrams | Rutgers B | Maryland B | 49 | 10 |
| Kaushik Jayaprabha | Dartmouth C | MIT B | 50 | 10 |
| Jolie Yeh | Warwick | LSE | 50 | -5 |
| Cranmer McGinn | McMaster C | Queen's A | 54 | 10 |
| Rohan Soni | UCLA F | UC Santa Barbara | 55 | 10 |
| Tyler Dang | UCLA A | UCSD A | 55 | 10 |
| Daniel Rosado | UCLA D | UCSD B | 55 | 10 |
| Lily Katz | Stony Brook | George Mason C | 55 | 10 |
| Tishe Sonuga | Chicago B | WashU Grizzlers | 55 | 10 |
| Devon Kumar | Tufts C | Brown A | 55 | -5 |
| Michael Shipman | Cambridge D | Imperial A | 55 | 10 |
| Saswat Sasha Tripathi | Chicago A | Indiana B | 57 | 10 |
| Dawson Teu | Waterloo A | Toronto C | 60 | 10 |
| Brayden Zhang | Vanderbilt B | Auburn C | 60 | 10 |
| Andrew Heller | Georgia Tech E | Georgia A | 60 | 10 |
| Antara Bhattacharya | Cambridge A | Southampton | 60 | 10 |
| Benjamin Turner | York | Edinburgh B | 62 | -5 |
| Nitinkisor Rajesh Kumar | Edinburgh B | York | 62 | 0 |
| Advai Srinivasan | UC Irvine | UCLA E | 64 | -5 |
| Rishi Mathur | Claremont B | USC A | 64 | -5 |
| Liam Rojas | Virginia A | Virginia Tech A | 66 | 10 |
| Jeremy Scurlock | Chipola College | Vanderbilt A | 66 | 10 |
| Mitchell Hackett | Central Oklahoma A | Oklahoma | 67 | -5 |
| Charlie Ruff | McGill A | Ottawa A | 68 | 10 |
| Nishad Joshi | Kentucky | Michigan State D | 68 | -5 |
| Akhil Upadrasta | Ohio State D | Louisville D | 68 | 10 |
| Will Hoover | RIT A | Rochester | 68 | 10 |
| Tristan Scarlett | Ottawa D | Ottawa B | 69 | -5 |
| Peyton Legg | UCF A | Florida B | 69 | -5 |
| Joseph Strom | Louisville B | Louisville A | 69 | -5 |
| Taran Knutson | Michigan A | Michigan State C | 69 | 10 |
| Noah Fine | UNC D | UNC C | 69 | -5 |
| Jesse Mindel | NCSU A | Virginia Tech B | 69 | 10 |
| Gavin Chen | Vassar A | Rutgers A | 69 | -5 |
| Aryan Malhotra | Rutgers C | NYU B | 69 | 10 |
| Cooper Morris | Columbia B | Rowan | 69 | -5 |
| Austin Tran | Rose-Hulman A | WashU Grolars | 69 | -5 |
| Alex Matchinski | Michigan Tech | Minnesota | 69 | -5 |
| Christopher Bradley | Southern Connecticut State University A | Williams A | 69 | -5 |
| Jake Markus | Dartmouth B | Boston University A | 69 | 10 |
| Daniel Lu | Washington Pink | Washington State | 69 | 10 |
| Jonathan Ho | Alberta B | Washington Masu | 69 | -5 |
| Cassidy McIntyre | Rose State | Central Oklahoma B | 69 | -5 |
| Cas Fidel | Tulsa A | Nebraska C | 69 | 10 |
| Asheton Wilbanks | Clemson B | Tennessee B | 69 | -5 |
| James Mogg | Birmingham | Cambridge C | 69 | 10 |
| Alex Forman | Cornell D | Binghamton A | 69 | 10 |
| Connor Yu | Cornell C | Cornell A | 69 | -5 |
| Ariyan Miah | Binghamton B | Cornell B | 69 | -5 |
| Claire Wilson | Lehigh B | NYU C | 70 | -5 |
| Bryce Younger | Boise State | Washington Sockeye | 70 | -5 |
| Huy Lai | UCSC | Berkeley Little Prince | 71 | -5 |
| Artem Vovchenko | Ohio State C | Michigan State B | 71 | -5 |
| Ben Mowery | Vermont A | Boston College B | 71 | -5 |
| Rafa Travis | Durham C | Edinburgh A | 71 | -5 |
| Neela Perceval-Maxwell | McGill E | Carleton B | 72 | -5 |
| Liam Henderson | McMaster B | Guelph A | 72 | -5 |
| Joshua Lam | Ohio State B | Pittsburgh | 72 | -5 |
| Madeline Strauss | Tufts A | UConn A | 72 | -5 |
| William Day | Murray State College A | Nebraska B | 72 | -5 |
| Lulu Anderson | Sheffield B | Edinburgh C | 72 | -5 |
| Shaya Farahmand | Georgia Tech B | Auburn A | 73 | 10 |
| James Zhao | Vanderbilt C | Mississippi State A | 73 | -5 |
| Jonathan Schnipper | Brandeis Mozart | Vermont B | 74 | -5 |
| Venkat Das | WVU B | Ohio State A | 76 | 10 |
| Caleb Slusher | South Carolina A | Georgia Tech A | 76 | -5 |
| Steven McPhillimey | Lehigh A | Maryland C | 79 | -5 |
| Samuel Li | William & Mary A | UNC A | 83 | 10 |
| Fern Fang | VCU A | Virginia Tech C | 83 | 10 |
| Kelvin Ni | NYU A | George Mason B | 83 | -5 |
| Jaie Somaia | Sheffield A | Durham D | 83 | 10 |
| Anirudh Terdal | LSE | Warwick | 83 | 10 |
| David Black | Illinois Champaign | William Woods University A | 84 | 10 |
| Matthew Bucek | George Mason A | Rutgers D | 85 | -5 |
| Juan Landaeta | Florida State A | Florida Tech B | 86 | 10 |
| Nicolaus Derikx | Carleton A | Ottawa C | 87 | -5 |
| Platon Gorokhov | Toronto E | Waterloo B | 87 | 10 |
| Caleb Houston | Tulsa B | Kansas State B | 87 | -5 |
| Ben Gardberg | Cornell B | Binghamton B | 87 | 10 |
| Jeremy Kim | Toronto F | Toronto H | 88 | 10 |
| Bharath Ram | Georgia Tech A | South Carolina A | 89 | 10 |
| Akif Ismail | Williams C | Brandeis Bach | 90 | -5 |
| Logan Van Pelt | Washington Coho | Washington Chinook | 91 | 10 |
| Coy Mier | Auburn B | Tennessee Tech | 91 | 10 |
| Gregory Stone | ESF | RIT B | 91 | 10 |
| Saju Ramraj | Toronto I | Brock A | 93 | 10 |
| Stephen Ottewell | Toronto B | Toronto D | 94 | 10 |
| Jaime Wang | Washington Atlantic | British Columbia A | 94 | 10 |
| David Yuan | Berkeley Little Prince | UCSC | 96 | 10 |
| Benjamin Silversten | William & Mary C | JMU A | 96 | -5 |
| Yashaswi Jaishy | Iowa B | Purdue D | 96 | 10 |
| Cole Hammans | Nebraska A | Murray State College B | 101 | 10 |
| Kevin Nolan | NCSU B | Tusculum A | 102 | 10 |
| Addison Wiggins | South Florida A | ERAU Daytona A | 103 | 10 |
| Andrea Owusu | Duke A | William & Mary B | 103 | 10 |
| Katie Young | Liberty C | JMU B | 103 | 10 |
| Andrew Wilson | Montevallo | Clemson C | 103 | 10 |
| Nelson Adams-Riley | Sewanne | Georgia Tech D | 103 | 10 |
| Ada Bendel | Bristol | Cardiff | 103 | 10 |
| Charlie Rickards | Ottawa C | Carleton A | 104 | 10 |
| Chen Nagahawatte | Ottawa B | Ottawa D | 104 | 10 |
| Andrew Sklar | Vassar B | Penn | 104 | 10 |
| Dylan Tanouye | Tufts B | Boston College A | 104 | 10 |
| Joseph Wang | UCLA E | UC Irvine | 105 | 10 |
| Chris Chang | USC A | Claremont B | 105 | 10 |
| Gus Morin-Strom | Carleton B | McGill E | 105 | 10 |
| Denali Tran-Le | McGill B | McGill C | 105 | 10 |
| Dylan Steptoe | Guelph A | McMaster B | 105 | 10 |
| Nicholas Nguyen | Florida B | UCF A | 105 | 10 |
| Snehan Saroch | Louisville A | Louisville B | 105 | 10 |
| Zac Stapler | Pittsburgh | Ohio State B | 105 | 10 |
| Emmet Ewing | Michigan State B | Ohio State C | 105 | 10 |
| Sam Kung | UNC C | UNC D | 105 | 10 |
| Carly Hemani | JMU A | William & Mary C | 105 | 10 |
| Alex Wong | Rutgers D | George Mason A | 105 | 10 |
| Ben Spirtas | Maryland C | Lehigh A | 105 | 10 |
| Yiwei Jiang | NYU C | Lehigh B | 105 | 10 |
| Braydon Morefield | George Mason B | NYU A | 105 | 10 |
| John Shelly | Rowan | Columbia B | 105 | 10 |
| Aarav Vasanthan | Rutgers A | Vassar A | 105 | 10 |
| Ethan Skolnick | WashU Grolars | Rose-Hulman A | 105 | 10 |
| Ben Stras | Wisconsin C | Wisconsin B | 105 | 10 |
| Virginia Brooks | Minnesota | Michigan Tech | 105 | 10 |
| Indigo Khanna | Vermont B | Brandeis Mozart | 105 | 10 |
| Judah Friedman | UConn A | Tufts A | 105 | 10 |
| Emma Gates | Brown A | Tufts C | 105 | 10 |
| Matthew Kohn | Williams A | Southern Connecticut State University A | 105 | 10 |
| Owen Gibbs | Boston College B | Vermont A | 105 | 10 |
| Nathaniel Martin | Brandeis Bach | Williams C | 105 | 10 |
| Joyann Hua | British Columbia B | Alberta A | 105 | 10 |
| Simarya Ahuja | Washington Sockeye | Boise State | 105 | 10 |
| Haylee Weisner | Washington Masu | Alberta B | 105 | 10 |
| Claire Stutzman | Kansas State B | Tulsa B | 105 | 10 |
| Robert Szot | Nebraska B | Murray State College A | 105 | 10 |
| CJ Sershon | Central Oklahoma B | Rose State | 105 | 10 |
| Nathan Coble | Oklahoma | Central Oklahoma A | 105 | 10 |
| Towery McNeil | Mississippi State A | Vanderbilt C | 105 | 10 |
| Richard D’Angelo | Tennessee B | Clemson B | 105 | 10 |
| Musa Ahmed | Edinburgh C | Sheffield B | 105 | 10 |
| James Headon | Edinburgh A | Durham C | 105 | 10 |
| Adil Soubki | Cambridge B | Imperial C | 105 | 10 |
| Derek Li | Cornell A | Cornell C | 105 | 10 |