  The paper provides an introduction into p-mechanics, which is a consistent
physical theory suitable for a simultaneous description of classical and
quantum mechanics. p-Mechanics naturally provides a common ground for several
different approaches to quantisation (geometric, Weyl, coherent states,
Berezin, deformation, Moyal, etc.) and has a potential for expansions into
field and string theories. The backbone of p-mechanics is solely the
representation theory of the Heisenberg group. Keywords: Classical mechanics,
quantum mechanics, Moyal brackets, Poisson brackets, commutator, Heisenberg
group, orbit method, deformation quantisation, symplectic group, representation
theory, metaplectic representation, Berezin quantisation, Weyl quantisation,
Segal--Bargmann--Fock space, coherent states, wavelet transform, contextual
interpretation, string theory, field theory.
