Articles and video companions

Blog Posts

Written explorations of physics, visualizations, and the ideas behind Imagining Physics videos.

A family of constant-gravity action fronts folding at their caustic.
Mechanics / action and wavefronts

Gravity as wavefronts of action

Follow the path from Hamilton’s action to phase fronts, rays, the optical eikonal, and the caustic. Begin with a falling particle, then see how the same geometry appears in Kepler orbits.

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A quantum wave and yellow probability-flow trails in a four-by-four packet grid
Quantum search / spatial implementation

Grover implementation with a particle in a Box

Encode the search in one particle’s wave. Let the box’s energy spectrum supply the mixing, build the inverse with a forward wait, and explore probability flow and spin.

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Signed amplitude columns showing the oracle and the two Grover reflection conventions
Quantum search / visual refresher

Grovers algoritm

Find one answer among N candidates. Understand the two reflections, build the gates, and explore a sixteen-state example with interactive vectors and amplitude columns.

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A transported arrow returns rotated after a closed loop on a sphere
App guide / geometry

Going straight in curved space

Carry an arrow around a loop, build a geodesic, compare neighboring paths, and follow a cloud in free fall.

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A radiation pulse connects the old and updated electric field around a moving charge
New demo / electromagnetism

Watching a charge radiate

Give a charge one push. Watch the field catch up, the pulse travel outward, and nearby test particles respond.

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Bohmian particle trajectories and probability density in a three-dimensional box
Interactive notebook / quantum mechanics

Bohmian particles & Eigenstates in a 3D Box

Explore stationary box eigenstates, Pauli spin current, and Bohmian trajectories.

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Wave paths and Bohmian trajectories in a delayed-choice interferometer
Interactive notebook / quantum foundations

Delayed Choice in Bohmian Mechanics

Compare collapse and trajectory-based pictures of beam splitting, interference, detection, and delayed choice.

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Bohmian particles sampled from the Born distribution in a two-dimensional box
Interactive notebook / quantum mechanics

Quantum Equilibrium Relaxation

Explore Born equilibrium, non-equilibrium ensembles, and how Pauli spin current can accelerate Bohmian relaxation.

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A free Gaussian wave packet with Bohmian trajectory visualizations
Interactive notebook / quantum mechanics

Bohmian Free Particle 2D

Follow a spreading Gaussian packet, trajectory ensembles, and asymmetric free-packet motion in two dimensions.

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Many Bohmian trajectories forming a double-slit interference pattern
Interactive notebook / quantum mechanics

Bohmian Double Slit

Follow individual trajectories, reveal the interference pattern with an ensemble, and explore equivariance.

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A Pauli spinor wave packet and Bohmian trajectories splitting in a Stern-Gerlach field
Interactive notebook / quantum mechanics

Stern-Gerlach in Bohmian Mechanics

Explore spinor splitting, Bohmian guidance, and the contextuality of spin in Stern-Gerlach experiments.

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Bohmian particles and a quantum wave packet approaching a finite potential barrier
Interactive notebook / quantum mechanics

Bohmian Tunneling

Explore reflection, above-barrier transmission, quantum tunneling, and Bohmian trajectory ensembles.

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