  In a magnetized plasma, both the transverse and longitudinal Alfv\'en waves
carry an average energy density that, for each mode of oscillation, resembles
the classical energy of a harmonic oscillator with unit mass and angular
frequency that depends on the background magnetic field and plasma density. We
employ this fact to introduce a pair of canonical variables for the underlying
classical system, and then use the canonical quantization procedure to express
the Alfv\'en wave velocity (or the corresponding plasma displacement vector) in
terms of creation and annihilation operators. We thus introduce the concept of
Alphonons as the quanta for the Alfv\'en wave packets and study their
characteristic features. The corresponding quanta (Alphonons) carry spin one
for the transverse Alfv\'en wave and spin zero for the longitudinal Alfv\'en
wave. We obtained behavior of thermodynamic quantities for an Alphonon system
(e.g., free energy, entropy, specific heat). We showed that for the Alphonon
system the spectral energy density obeys the Planck's black body radiation law.
