Round 10: Tossup 15
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■
ANSWER: angular momentum [or rotational momentum; accept orbital angular momentum or spin angular momentum or total angular momentum; prompt on L or J or S; prompt on spin until read; reject “momentum” or “linear momentum”]
<MY, Physics> | Packet-K_Brown_Carnegie-Mellon-A_Liberty-B_Manchester_Minnesota-B_Oxford-B
= Average correct buzzpoint
Back to tossups