theories:classical_mechanics
Differences
This shows you the differences between two versions of the page.
| Next revision | Previous revision | ||
|
theories:classical_mechanics [2017/10/08 14:41] jakobadmin ↷ Page moved from classical_mechanics to classical_theories:classical_mechanics |
theories:classical_mechanics [2023/05/20 03:16] (current) 50.24.47.35 [Formulations] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| + | ====== Classical Mechanics ====== | ||
| + | |||
| + | <tabbox Formulations> | ||
| + | There are different ways of describing classical mechanics. Each has its individual strength and weaknesses, but in terms of observable predictions, they are all equivalent. | ||
| + | |||
| + | * [[theories:classical_mechanics:newtonian]] $\leftrightarrow$ classical mechanics in real space | ||
| + | * [[theories:classical_mechanics:lagrangian]] $\leftrightarrow$ classical mechanics in [[basic_tools:configuration_space|configuration space]] | ||
| + | * [[theories:classical_mechanics:hamiltonian]] $\leftrightarrow$ classical mechanics in [[basic_tools:phase_space|phase space]] | ||
| + | * [[theories:classical_mechanics:koopman_von_neumann_mechanics]] $\leftrightarrow$ classical mechanics in [[basic_tools:hilbert_space|Hilbert space]] | ||
| + | |||
| + | <tabbox Roadmaps> | ||
| + | |||
| + | **Traditional Roadmap** | ||
| + | |||
| + | <diagram> | ||
| + | | AA|~@2| Newton's laws |AA=[[theories:classical_mechanics:newtonian]] | ||
| + | | |!@4| | | | | | | ||
| + | | AA|~@2| Euler-Lagrange equation, Noether's theorem, configuration space |AA=[[theories:classical_mechanics:lagrangian]] | ||
| + | | |!@4| | | | | | | ||
| + | | AA|~@2| Hamilton's equation, canonical transformation, generating functions, Noether's theorem in the Hamiltonian formalism, phase space |AA=[[theories:classical_mechanics:hamiltonian]] | ||
| + | </diagram> | ||
| + | |||
| + | ---- | ||
| + | |||
| + | **Reading Recommendations** | ||
| + | |||
| + | * The best book that gives a grand tour of classical mechanics is The Lazy Universe by Coopersmith | ||
| + | |||
| + | <tabbox History> | ||
| + | |||
| + | * A History of Mechanics by Dugas | ||
| + | |||
| + | </tabbox> | ||
| + | |||
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
