(1)
or integrating from t to t′,
Σ (δp′r·Δq′r − Δq′r·δq′r) = Σ (δpr·Δqr − Δpr·δqr).
(2)
If for shortness we write
| (r, s) = | ∂²S | , (r, s′) = | ∂²S | , |
| ∂qr∂qs | ∂qr∂q′s |
(3)
we have
∂pr = −Σs (r, s) δqs − Σs (r, s′) δq′s
(4)
(1)
or integrating from t to t′,
Σ (δp′r·Δq′r − Δq′r·δq′r) = Σ (δpr·Δqr − Δpr·δqr).
(2)
If for shortness we write
| (r, s) = | ∂²S | , (r, s′) = | ∂²S | , |
| ∂qr∂qs | ∂qr∂q′s |
(3)
we have
∂pr = −Σs (r, s) δqs − Σs (r, s′) δq′s
(4)