lecture24: Hamilton's formulation
Topics covered
- Legendre transformation
- Example Legendre transformation
- Hamilton's formulation
- Canonical Euler-Lagrange equations
- Harmonic oscillator example
- Canonical Euler-Lagrange equations
- Hamilton's formulation
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- Complementary variation principle
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- Example (see Lecture 16)
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- Free end point
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- Free end point example
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- Weierstrass-Erdman conditions
- Hamilton-Jacobi equation
- Simple example
- Pendulum example
- Hamilton-Jacobi equation