Problem about Negative-Index Bessel Functions → Show that J-m(x) = (-1)™Jm if m is an integer, and that the two functions are not proportional if m is not integer

For a system of particles at room temperature (300K), what value must & be before the Fermi-Dirac, Bose-Einstein, and Maxwell-Boltzmann distributions agree within 0.1% ? Justify your answer.

Legrende polynomials The amplitude of a stray wave is defined by: SO) =x (21+ 1) exp li8,] sen 8, P(cos 8). INO Here e is the scattering angle, / is the angular momentum and 6, is the phase shift produced by the central potential that performs the scattering. The total cross section is: Show that: 'É4+ 1)sen² 8, .