Mechanics Lien

The QM Superposition Launcher package is a self-contained file for the teaching of the time evolution and visualization of energy eigenstates and their superpositions in quantum mechanics. The file contains ready-to-run OSP programs and curricular materials. One can choose from several real-time...

The Ejs Free Fall model displays the dynamics of a ball dropped near the surface of Earth onto a platform. The initial conditions for the ball are zero initial velocities in the x and y directions. The coefficient of restitution for the ball's collision with the platform is less than one. The...

The Ejs Phase Space Plotter model displays the dynamics of an ensemble of pendula or simple harmonic oscillators in phase space (velocity versus position). Friction is initially set to zero but can be changed via a textbox as can the number of elements in the ensemble. For the pendulum ensemble,...


Platforms: Mac

The Ejs Hard Disk Gas model displays a two-dimensional gas made out of hard disks. Particles are initialized with a speed v=1 in a random direction and move with constant velocity until a collision occurs. You can modify this simulation if you have Ejs installed by right-clicking within the plot...


Platforms: Mac

The QM Wigner program displays the time evolution of the position-space wave function and the associated quasi-probability distribution in phase space via the Wigner function. The default wave function is a Gaussian wave packet in a harmonic oscillator. Additional states and other potential...


Platforms: Mac

The EJS Molecular Dynamics model is constructed using the Lennard-Jones potential truncated at a distance of 3 molecular diameters. The motion of the molecules is governed by Newton's laws, approximated using the Verlet algorithm with the indicated time step. For sufficiently small time steps dt,...


Platforms: Mac

The Ejs Coin Rolling without Sliding on an Accelerated Platform model displays the dynamics of a coin rolling without slipping on an accelerated platform. The simulation displays the motion of the coin as well as the velocity vectors for the surface of the coin and the platform. The initial...


Platforms: Mac

A mass constrained to move on a rotating hoop is an excellent mechanical model of first- and second-order phase transitions. Although the minimum of the potential energy curve corresponds to the bottom of the hoop at low rotation frequency, a spontaneous symmetry breaking (cusp catastrophe)...


Platforms: Mac

The QM Momentum Expectation Value program displays the time evolution of the position-space wave function and the associated momentum expectation value. The default wave function is a Gaussian wave packet in a harmonic oscillator. Additional states and other potential energy functions can be...


Platforms: Mac

The QM Position Expectation Value program displays the time evolution of the position-space wave function and the associated position expectation value. The default wave function is a two-state superposition of infinite square well states. Additional states and other potential energy functions...


Platforms: Mac

The GR Classical program simulates orbits of objects around a central mass using Newtonian mechanics. It also displays a plot of the effective potential well in which the orbiting particle resides. GR Classical is part of a suite of Open Source Physics programs that model aspects of General...


Platforms: Mac

The Ejs Action for the Harmonic Oscillator model displays the trajectory of a simple harmonic oscillator by minimizing the classical action. The simulation displays the endpoints of the motion (t,x) which can be changed by using the textboxes or dragging, and displays the new trajectory as well...


Platforms: Mac

The Momentum Space package is a self-contained file for the teaching of the time evolution and visualization of energy eigenstates and their superpositions via momentum space in quantum mechanics. The file contains ready-to-run OSP programs and a set of curricular materials. The material focuses...


Platforms: Mac

Astronomy is the science of celestial objects and phenomena that originate outside the Earth's atmosphere, such as stars, planets, comets, auroras, galaxies, and the cosmic background radiation. It is concerned with the formation and development of the universe, the evolution and physical and...


Platforms: Mac

The Phase Matters package is a self-contained file for the teaching of phase and time evolution in quantum mechanics. The file contains ready-to-run OSP programs and a set of curricular materials. The material focuses on when and how, for arbitrary quantum-mechanical states, the phase of the wave...


Platforms: Mac

The Position Carpet package is a self-contained file for the teaching of the time evolution and visualization of energy eigenstates and their superpositions via quantum spacetime diagrams or quantum carpets. The file contains ready-to-run OSP programs and a set of curricular materials. The...


Platforms: Mac

The Ejs Falling Rod Leaning on a Wall model displays the dynamics of a falling rod that is initially leaning against a vertical wall. The rod is dropped from rest while its end points are in contact with a vertical wall and a horizontal table. Friction is neglected. Fall times and the trajectory...


Platforms: Mac

Elastic Bounce on an Inclined Plane Model written by Juan Aguirregabiria The Elastic Bounce on an Inclined Plane model can be used to illustrate the adiabatic theorem in classical mechanics. A particle slides without friction along an inclined plane. The particle rebounds elastically when it...


Platforms: Mac

The QM Probability 2D program displays the time evolution of the two-dimensional probability density using color to represent its magnitude. The default wave function is a two-state superposition in the x (nx = 1,2) and y dimension (ny = 3,4) state in an infinite square well. Additional states...


Platforms: Mac

The Confined Hard Disk System is an idealized statistical mechanics model that simulates a two-dimensional system of hard disks confined to a box with a constant temperature thermal reservoir at one end and a movable piston at the other. Slow-moving particles are color-coded as blue and fast...


Platforms: Mac