instruction:
In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
question:
One variant of this phenomenon can be used to tune the electronic properties of boron nitride nanotubes from nearly insulating to metallic. Another variant of this phenomenon is induced by interference of standing laser waves to trap atoms of a Bose-Einstein condensate loaded into an optical lattice. Schrdinger's third article from his 1926 series of papers presented his perturbation theory treatment of this effect's modification of the Balmer and Lyman series. Along with van der Waals broadening and resonance broadening, this effect can produce pressure broadening of spectral lines. In addition to the giant version and the AC or Autler-Townes form of this effect, it exhibits variants that are linear and quadratic in the applied field. FTP name this shifting and splitting of spectral lines due to an external electric field, the analogue of the Zeeman effect.
answer:
Science

question:
These quantities are the arguments of the logarithms in the von Mangoldt function, which is itself summed to yield the second Chebyshev function. Using the evenly-spaced integer topology, Furstenberg re-proved that there were aleph-null many of these values. The work of Goldston et al. employing the Elliott-Halberstam conjecture was a precursor to Zhang's proof of bounded gaps between them. Thanks to the AKS algorithm, it is polytime-decidable whether or not a number is one of these numbers. The distribution of these numbers is described by the law "pi of x is asymptotic to x over log x," where "pi of x" is the function that counts these numbers. They are typically generated by sieving, as originally done by Eratosthenes. For 10 points, what numbers are divisible only by one and themselves
answer:
Science

question:
The score for this piece asks the pianist to make mistakes in certain passages. Modern performances use the glockenspiel rather than the glass harmonica, and this piece references Berlioz's Valse des Sylphes, Can-Can from Offenbach's Orpheus in the Underworld, the aria from Rossini's Barber of Serville, "Ah vous dirais-je maman", and even the same composer's Danse Macabre. With introduction verses by Ogden Nash, FTP, name this famous piece by Saint-Sans that features creatures as diverse as lions, elephants, kangaroos, and of course, the swan.
answer:
Fine Arts