In
physics,
relativistic quantum mechanics (RQM) is any
Poincaré covariant formulation of
quantum mechanics (QM). This theory is applicable to
massive particles propagating at all
velocities up to those comparable to the
speed of light c, and can accommodate
massless particles. The theory has application in
high energy physics,
particle physics and
accelerator physics, as well as
atomic physics,
chemistry and
condensed matter physics.
Non-relativistic quantum mechanics refers to the
mathematical formulation of quantum mechanics applied in the context of
Galilean relativity, more specifically quantizing the equations of
classical mechanics by replacing dynamical variables by
operators.
Relativistic quantum mechanics (RQM) is quantum mechanics applied with
special relativity, but not
general relativity. An attempt to incorporate general relativity into quantum theory is the subject of
quantum gravity, an
unsolved problem in physics, although some theories, such as the
Kaluza-Klein, have been proposed but are unfounded and without proof. Although the earlier formulations, like the
Schrödinger picture and
Heisenberg picture were originally formulated in a non-relativistic background, these pictures of quantum mechanics also apply with special relativity.