A rescaled version of a function with this second name contains the expression [read slowly] “e to the quantity t times the dot product of x and a.” The factor “negative one to the m” is a compensating phase factor in functions with this [emphasize] second word; that phase factor is named after Condon and Shortley. Expressing the wave function in spherical coordinates, separating variables, and solving for (*) angular solutions yield functions called “spherical [this word].” The energy eigenstates of a quantum system described by this adjective can be derived using Hermite polynomials; those energy eigenstates can be expressed as multiples of “h-bar omega.” For 10 points, Hooke’s law applies to “simple oscillators” described by what adjective? ■END■
ANSWER: harmonic [accept simple harmonic oscillator; accept quantum harmonic oscillator; accept spherical harmonics; accept spheroidal harmonics]
<Ezra Santos, Physics>
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