Example image of eyePlorer eyePlorer map for 'Hamilton–Jacobi equation': Classical mechanics Hamiltonian mechanics Lagrangian mechanics Newton's laws of motion Physics Johann Bernoulli Quantum mechanics Schrödinger equation Canonical transformation Hamilton's principal function Partial differential equation Euler–Lagrange equation Action (physics) Partial derivative Angular momentum Laplace–Runge–Lenz vector Generalized coordinates Calculus of variations Dynamical system Hamilton's principle Mathematics Quantum chaos Symplectic geometry Geodesic Riemannian geometry Riemannian manifold Euclidean vector Rotation Dot product Constant of motion Separation of variables Ordinary differential equation Orthogonal coordinates Quadratic Spherical coordinate system Ellipse Elliptic cylindrical coordinates Focus (geometry) Parabolic cylindrical coordinates Wave Wave equation Amplitude Phase (waves) Ansatz Covariance and contravariance Invariant mass Metric tensor Speed of light Hamilton–Jacobi–Bellman equation Chi-Wang Shu