Quantum Harmonic Oscillator

Quantum Harmonic Oscillator

Education | Voladd

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Page Modified on: June 12, 2017

Play Quantum Harmonic Oscillator on PC

Quantum harmonic oscillator is one of the few quantum mechanical systems for which an exact, analytic solution is known. It is especially useful because arbitrary potential can be approximated by a harmonic potential in the vicinity of the equilibrium point.

The wave-like behavior of a particle confined to a harmonic well is described by the wave functions of the quantum harmonic oscillator. These are the solutions to the corresponding quantum mechanical Schroedinger equation and they determine the probability to find the particle in a particular space region.

This app visualizes the eigenstates of the three-dimensional quantum harmonic oscillator by drawing the cross-section surfaces of the square of the wave function in OpenGL, using the Marching Cubes algorithm. The spherical coordinate basis is employed.

Features:
- Select the eigenstate by specifying the quantum numbers k, l and m, or pick a random one.
- Change the discretization step size.
- Choose the total probability to find the particle inside the drawn orbital surface.
- Zoom and rotate the surface with your fingers.

Play Quantum Harmonic Oscillator on PC. It’s easy to get started.

Download and install BlueStacks on your PC
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Look for Quantum Harmonic Oscillator in the search bar at the top right corner
Click to install Quantum Harmonic Oscillator from the search results
Complete Google sign-in (if you skipped step 2) to install Quantum Harmonic Oscillator
Click the Quantum Harmonic Oscillator icon on the home screen to start playing