Lecture 3 Flashcards by zeb smith

Q

Motion of a particle in a conservattive force field

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Q

The Euler-Lagrange equation

A

WIP

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Q

Newton’s problem of mimimal resistance

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Q

Constrained variational principles

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Q

Elastic rods

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Q

Buckling and bifurcation theory

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Q

Laplace’s equation

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Q

The Euler-Lagrange equation(part 2)

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Q

The wave equation

A

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Q

Hamiltonian mechanics

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Q

Poisson brackets

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Q

Rigid body rotations

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Q

Hamiltonian PDEs

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Q

Path integrals

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Q

The principle of stationary action

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Q

The variational derivative

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Q

Derivation of Newton’s resistance functional

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Q

Resistances of some simple shapes

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Q

The variational problem

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Q

The Euler-Lagrange equation(part1, 2)

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Q

Eigenvalue problems

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Q

Kinematics

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Q

Equivalence with Newton’s second law

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Q

Examples from mechanics

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Q

Non-radially symmetric solutions

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Q

Dimensional consideration

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Q

The persistence length of DNA

A

Q

Energy minimizers

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Q

Solution by elliptic functions

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Q

Lyapounov-Schmidt reduction

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Q

Dirichlet principle

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The direct method

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Electrostatics

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Q

The minimal surface equation

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Q

The Legendre transform

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Canonical coordinates

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Q

Spatial description

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Q

Body description

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Q

The kinetic energy

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Q

The rigid body Poisson bracket

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Q

Poisson brackets

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Q

Fresnel integrals

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Q

Stationary phase

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Q

The Feynman path integral

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Q

The Trotter product formula

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Q

Semiclassical limit

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Q

A