Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 adj. Having an odd integer as a numerator and 2 as a denominator. Used of a fraction.
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Examples

Or as hard as investigating the properties of Fermions, halfintegral spin particles that obey the Pauli principle, and Bosons, integral spin particles that don't, or the anomalous magnetic moments of leptons, or the quark structure of matter.

The properties ascribed to electrons, for instance, such as their charge and halfintegral spin, were themselves responses to quite specific experimental findings involving discharge tube phenomena and spectra.

Fermions have halfintegral spin and are described by wavefunctions that are antisymmetric in the exchange of two particles, i.e. the wavefunctions change sign when two particles change places, and they follow what is called
Additional background material on the Nobel Prize in Physics 1996

Particles obeying these would of course have halfintegral spin, and the ultimate state would be one in which ghosts of opposite spin had paired up to occupy correctly the energy states available.

The number '' j '' is integral when '' m '' is integral and halfintegral when

The discrete quantum number '' m '' is integral or halfintegral, depending on whether '' j '' is integral or halfintegral.

'' l '' max − kmax, so that '' b '' is integral or halfintegral.
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