EigenSpace: Quantum Physics 3D

Make the Schrödinger equation visible.

EigenSpace is an interactive quantum mechanics simulator and wavefunction visualizer for Android. Solve for energy eigenstates, rotate their shapes in 3D, and explore where a particle is most likely to be found.

Connect the potential, energy spectrum, wavefunction ψ and probability density |ψ|² in one workspace. Start with harmonic-oscillator states, then explore hydrogen-like models and custom potentials with EigenSpace Pro.

EXPLORE QUANTUM STATES

• See states in 3D. Rotate and zoom point clouds, density clouds and isosurfaces. Choose color maps and adjust the rendering to examine each state's structure.

• Understand the wavefunction. Compare signed amplitude profiles, probability-density heatmaps, radial distributions and basis contributions in the 2D views.

• Navigate the energy spectrum. Move between calculated eigenstates and inspect their energies, approximate quantum-number labels and basis composition.

• Look inside a state. Move XY, XZ or YZ slices through the 3D distribution and examine the corresponding 2D probability density.

• Configure your calculation. Choose Cartesian or spherical coordinates, set the basis size and frequency, and adjust the parameters of your chosen potential.

• Explore on phone or tablet. Use a touch-friendly layout with tablet workspaces for plots and 3D render controls.

START FREE

The free version includes the harmonic-oscillator potential and basis, energy-state navigation, and 2D and 3D visualization. EigenSpace contains no advertising.

EIGENSPACE PRO

A one-time purchase unlocks additional models, imports and export tools. No subscription.

• More potentials: hydrogen-like Coulomb, finite square well, double well, Morse, Woods–Saxon and your own mathematical expressions.

• More bases: infinite-square-well and hydrogen basis functions.

• External-state imports: load supported orbital-coefficient CSV files and KSHELL calculations for visualization.

• Images and video: export 3D screenshots, MP4 rotation videos, diagnostic dashboard images and transparent heatmap overlays for teaching and presentations.

• Numerical data: export 1D, 2D and 3D samples as CSV for Python, MATLAB or Excel. Share a research ZIP with plots, sampled data, basis coefficients and solver metadata.

• 3D assets: export PLY point clouds and OBJ isosurface meshes for Blender, Unity and other 3D software.

• Calculation caching: reuse previously calculated states for faster repeat work.

FOR STUDY, TEACHING AND ANALYSIS

Use EigenSpace alongside university physics and quantum chemistry courses to build intuition for eigenstates, orbitals and basis expansions. Create visual examples for a lecture, examine numerical results, or take your data into other analysis tools.

Start with the free harmonic oscillator and explore your first quantum states.