Why can't phase space trajectories intersect?

madman143 · Jan 9, 2011

Why can't trajectories in phase space intersect?

Rocky Raccoon · Jan 9, 2011

Initial conditions uniquely define the trajectory in phase space (by virtue of Hamilton's equation). If two trajectories intersected, the point of intersection could be chosen as an initial condition which wouldn't have unique evolution in phase space, contratry to Hamilton's equation.

Why can't phase space trajectories intersect?

Discussion

Undergrad Measured Spectrum of Stopped Wood Organ Pipe Shows ALL Overtones

Graduate Does a moving particle count as a wave?

Undergrad Is Water's Volume Expansion Upon Freezing an Intrinsic Property?

High School Is it safe to fly in a spinning hollow asteroid?

High School The world is not enough

Undergrad Classical kinematics: cone and coin

High School Another kinematics problem

Graduate On a paper by Udwadia and Kalaba

High School Inclined treadmills and Galilean Invariance

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Why can't phase space trajectories intersect?

Discussion

Similar threads

Graduate Phase space trajectories can't intersect...

Graduate Non intersecting phase space trajectories

Graduate System and phase space trajectory

Graduate Can Phase Trajectories Intersect with Equilibria in Dynamical Systems?

Phase space trajectory question

Graduate Why Can't Flows in Phase Space Cross?