remark 22.5 Units

open in the book · parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:128 · p. 806

remark -- no derivation owed by its kind

Rests on

depends_on equation 22.1 eq:ham-hamiltonian ¶
depends_on equation 21.43 eq:lag-generalized-momentum ¶

Supports

depends_on remark 22.36 The whole dynamics in one operation ¶
depends_on remark 22.42 What the matrix form is for ¶
depends_on remark 24.11 The SI dimension of every object in this chapter ¶
- depends_on remark 24.35 What non-squeezing does and does not say about nature ¶
- depends_on remark 24.22 Liouville's theorem is the foundation of statistical mechanics ¶
- depends_on remark 24.27 Fixing a scale, so that a ``ball'' means something ¶
  - depends_on definition 24.28 Ball and cylinder ¶
    - depends_on definition 24.33 Symplectic capacity ¶
      - depends_on proposition 24.34 Capacities exist if and only if non-squeezing holds ¶
    - depends_on example 24.29 A volume-preserving squeeze ¶
    - depends_on proposition 24.30 Linear non-squeezing ¶
      - depends_on theorem 24.31 Gromov's non-squeezing theorem ¶
    - depends_on theorem 24.31 Gromov's non-squeezing theorem ¶ ↺
  - depends_on definition 24.33 Symplectic capacity ¶ ↺

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:ham-hamiltonian	declared	parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:142
`depends_on`	→	eq:lag-generalized-momentum	declared	parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:142
`depends_on`	←	The whole dynamics in one operation	declared	parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1223
`depends_on`	←	What the matrix form is for	declared	parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1407
`depends_on`	←	The SI dimension of every object in this chapter	declared	parts/03-classical-mechanics/07-symplectic-geometry.tex:346