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11 days ago
\displaystyle \varepsilon H=p(t)\big (q(t+\varepsilon )-q(t)\big )-\varepsilon L and π = β πΏ β π Λ
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\displaystyle \varepsilon H=p(t)\big (q(t+\varepsilon )-q(t)\big )-\varepsilon L and π = β πΏ β π Λ , where the partial derivative with respect to π Λ\displaystyle \dot q holds q(t + Ξ΅) fixed. The inverse Legendre transform is π πΏ = π π π Λ β π π» , \displaystyle \varepsilon L=\varepsilon p\dot q-\varepsilon H where π Λ = β π» β π
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RoyalPrince @RoyalPrince
2025-12-03T05:11:13.402ZReply
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- \displaystyle \varepsilon H=p(t)\big (q(t+\varepsilon )-q(t)\big )-\varepsilon L and π = β πΏ β π Λ , where the partial derivative with respect to π Λ\displaystyle \dot q holds q(t + Ξ΅) fixed. The inverse Legendre transform is π πΏ = π π π Λ β π π» , \displaystyle \varepsilon L=\varepsilon p\dot ...
