Why must we work in the phase space?

Opis książki:

We are going to prove that the phase-space description is fundamental both in the classical and quantum physics. It is shown that many problems in statistical mechanics, quantum mechanics, quasi-classical theory and in the theory of integrable systems may be well-formulated only in the phase-space language is well-known that the phase-space manifold has no natural metric geometry and that all concepts to be used must be of symplectic origin. In any case, the purely symplectic phase-space geometry is sufficient to obtain everything within the completely metric-free language.is of different origin which has nothing to do with the mentioned configuration space Riemannian geometry, instead it is of purely symplectic origin. And this is sufficient to constructing microcanonical ensemble and entropy concepts. In any case, the purely symplectic phase-space geometry is sufficient to obtain everything within the completely metric-free language.