ⓘ Conceptual programs in physics. For the simple case of single particle with mass m moving along one dimension x and acted upon by forces F i {\displaystyle F_{i ..

                                     

ⓘ Conceptual programs in physics

For the simple case of single particle with mass m moving along one dimension x and acted upon by forces F i {\displaystyle F_{i}}, the program of classical mechanics is to determine the state x: R → R {\displaystyle x:\mathbb {R} \to \mathbb {R} } by solving Newtons second law,

In Lagrangian mechanics for the same system, the state q: R → R 3 N {\the style property display set to \mathbf {U}:\mathbb {R} \to \mathbb {R} ^{3P}} solves Hamiltons principle δ S = 0 {\properties display style set to \Delta S=0} where the action functional is defined how

S \ {\stackrel {\mathrm {def} }{=}}\int _{t_{1}}^{t_{2}}L\mathbf {q} t,{\dot {\mathbf {q} }}t,t)\,\mathrm {d} t}.

In Hamiltonian mechanics with canonical coordinates q, p {\the style property display set to \mathbf {m},\mathbf {p}} and Hamiltonian function H q, p, t {\the style property display the value of {\mathcal {h}}\mathbf {m},\mathbf {p},t}, the state q: R → R 3 N {\the style property display set to \mathbf {U}:\mathbb {R} \to \mathbb {R} ^{3P}} is determined by solving

q ′ t = ∂ H ∂ p, p ′ t = − ∂ H ∂ q, ∂ H ∂ t = ∂ L ∂ t {\displaystyle \mathbf {q} t={\frac {\partial {\mathcal {H}}}{\partial \mathbf {p} }}\quad,\quad \mathbf {p} t=-{\frac {\partial {\mathcal {H}}}{\partial \mathbf {q} }}\quad,\quad {\frac {\partial {\mathcal {H}}}{\partial t}}={\frac {\partial {\mathcal {L}}}{\partial t}}}.
                                     
  • Conceptual physics is an approach to teaching physics that focuses on the ideas of physics rather than the often daunting mathematics. It is believed that
  • Designed concurrently with AP Physics B and AP Physics C, AP Physics A was supposed to be a conceptual - only version of AP Physics B see below Thus, this
  • A conceptual system is a system that is composed of non - physical objects, i.e. ideas or concepts. In this context a system is taken to mean an interrelated
  • Project Physics also called Project Physics was a national curriculum development project to create a secondary school physics education program in the
  • Physics outreach encompasses facets of science outreach and physics education, and a variety of activities by schools, research institutes, universities
  • Metamaterials: Physics and Engineering Explorations is a book length introduction to the fundamental research and advancements in electromagnetic composite
  • methods An Introduction to Physics Education Research by Robert Beichner, identifies eight trends in PER: Conceptual understanding: Investigating
  • Physics First is an educational program in the USA, that teaches a basic physics course in the ninth grade usually 15 - year - olds rather than the biology
  • at the level of writing code, instead the user is working at a higher conceptual level, declaring and organizing the equations and other mathematical expressions