This chapter prepares a smooth way from Eulerian classical mechanics to
quantum mechanics. Starting from Helmholtz’s foundation of the energy conservation
law using Leibniz’s theorem as described in the foregoing Chapter 2, the
configurations a system can (cannot) assume in a given stationary state are explored.
The following constraints are taken into account: Newton-Euler’s exclusion principle,
d’Alembertian constraints and constraints imposed by conservation laws. The set of
possible and impossible momentum configurations is also considered, using
Nemorarius’ theorem of the foregoing chapter.
Keywords: d’Alembertian constraints, Conservation laws, Helmholtz, Hodograph,
Impossible configurations, Impossible momentum configurations, Leibniz’s
theorem, Momentum configuration space, Nemorarius’ theorem, Newton-Euler’s
exclusion principle, Possible configurations, Possible momentum configurations,
Schütz, State, State function, Stationary state.
