Possible and Impossible (Momentum) Configurations
Pp. 74-77 (4)
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.
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.
Taraz State Pedagogical University, Kazakhstan.