State space (mechanics)

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In some representations of mechanics, the state space is understood to be the extension of the phase space , consisting of (generalized) coordinates ( configuration space ) and (generalized) impulses , around time. This has advantages in the treatment of non- conservative systems in which the Hamilton function explicitly depends on time (e.g. a potential that changes over time ).

In other representations, the state space simply means the phase space.

Individual evidence

  1. ^ Synge, Classical Dynamics, in: S. Flügge, Encyclopedia of Physics: Principles of Classical Mechanics and Field Theory, Springer 1960, p. 100, there Space of states
  2. ^ Basic Course Theoretical Physics 2, Wolfgang Nolting, Springer DE, 2006, p. 121 ff, Google Books
  3. ↑ For example, Norbert Straumann, Statistische Mechanik, Springer 2017, p. 174, there the state space of classical mechanics (phase space) is compared with that of quantum mechanics (Hilbert space)
  4. ^ State Space, Scholarpedia