---
title: "Quantum Wave in a Box - Reviews, Revenue and Downloads in United States | Apple App Store"
description: "Schrödinger equation solver 1D. User defined potential V(x). Diagonalization of hamiltonian matrix. Animation showing evolution in time of a gaussian wave-packet.  In Quantum Mechanics the one-dimensi"
---

# Quantum Wave in a Box — United States

![Quantum Wave in a Box App Icon](https://is1-ssl.mzstatic.com/image/thumb/Purple113/v4/21/06/a3/2106a3cf-137a-c9a7-7eea-eb0a9e92ad51/AppIcon-0-0-1x_U007emarketing-0-0-0-7-0-0-sRGB-0-0-0-GLES2_U002c0-512MB-85-220-0-0.png/400x400bb.png)

**Developer:** [Michel Ramillon](https://apptail.io/developer/michel-ramillon-cVvb) (France)
**Category:** Education
**Rating:** 3.6/5 (5 ratings)
**Price:** Free
**Bundle ID:** com.homeosoft.Quantum-Wave-in-a-Box
**Store:** Apple App Store
**Country:** United States
**Version:** 1.0.3 (released 2023-01-08)
**Original Release:** 2017-01-01

**App Store Link:** [Download on Apple App Store](https://apps.apple.com/us/app/app/id1179258292)
**AppTail Page:** [https://apptail.io/app/quantum-wave-in-a-box-PpUe/united-states](https://apptail.io/app/quantum-wave-in-a-box-PpUe/united-states)

## Quantum Wave in a Box Description
Schrödinger equation solver 1D. User defined potential V(x). Diagonalization of hamiltonian matrix. Animation showing evolution in time of a gaussian wave-packet.

In Quantum Mechanics the one-dimensional Schrödinger equation is a fundamental academic though exciting subject of study for both students and teachers of Physics. A solution of this differential equation represents the motion of a non-relativistic particle in a potential energy field V(x). But very few solutions can be derived with a paper and pencil.

Have you ever dreamed of an App which would solve this equation (numerically) for each input of V(x) ?

Give you readily energy levels and wave-functions and let you see as an animation how evolves in time a gaussian wave-packet in this particular interaction field ?

Quantum Wave in a Box does it !  For a large range of values of the quantum system parameters.

Actually the originally continuous x-spatial differential problem is discretized over a finite interval (the Box) while time remains a continuous variable. The  time-independent Schrödinger equation H ψ(x) = E ψ(x), represented by a set of linear equations, is solved by using quick diagonalization routines. The solution ψ(x,t) of the time-dependent Schrödinger equation is then computed as ψ(x,t) = exp(-iHt) ψ₀(x) where ψ₀(x) is a gaussian wave-packet at initial time t = 0.

You enter V(x) as RPN expression, set values of parameters and will get a solution in many cases within seconds ! 

- Atomic units used throughout (mass of electron = 1)
- Quantum system defined by mass, interval [a, b] representing the Box and (real) potential energy V(x).
- Spatially continuous problem discretized over [a, b] and time-independent Schrödinger equation represented by a system of N+1 linear equations using a 3, 5 or 7 point stencil; N being the number of x-steps. Maximum value of N depends on device’s RAM: up to 4000 when computing eigenvalues and eigenvectors, up to 8000 when computing eigenvalues only.
- Diagonalization of hamiltonian matrix H gives eigenvalues and eigenfunctions. When computing eigenvalues only, lowest energy levels of bound states (if any) with up to 10-digit precision.
- Listing of energy levels and visualisation of eigenwave-functions.
- Animation shows gaussian wave-packet ψ(x,t) evolving with real-time evaluation of average velocity, kinetic energy and total energy.
- Toggle between clockwise and counter-clockwise evolution of ψ(x,t).
- Watch Real ψ, Imag ψ or probability density |ψ|².
- Change initial gaussian parameters of the wave-packet (position, group velocity, standard deviation), enter any time value, then tap refresh button to observe changes in curves without new diagonalization. This is particularly useful to get a (usually more precise) solution for any time value t when animation is slower in cases of N being large.
- Watch both solution ψ(x,t) and free wave-packet curves evolve together in time and separate when entering non-zero potential energy region.
- Zoom in and out any part of the curves and watch how ψ(x,t) evolve locally.

## Quantum Wave in a Box Screenshots
- [Screenshot 1](https://is1-ssl.mzstatic.com/image/thumb/Purple123/v4/49/fa/bb/49fabb63-9768-90fa-4123-b6f16e38de9e/pr_source.png/640x960.png)
- [Screenshot 2](https://is1-ssl.mzstatic.com/image/thumb/Purple123/v4/b1/ea/a9/b1eaa9a7-6806-603b-8f70-af7c91748688/pr_source.png/640x960.png)
- [Screenshot 3](https://is1-ssl.mzstatic.com/image/thumb/Purple113/v4/ce/e2/30/cee23048-6ff2-ee48-374b-fdee929704ea/pr_source.png/640x960.png)
- [Screenshot 4](https://is1-ssl.mzstatic.com/image/thumb/Purple123/v4/66/59/dd/6659dddd-6bb1-0ef9-dc51-23da9defb835/pr_source.png/640x960.png)
- [Screenshot 5](https://is1-ssl.mzstatic.com/image/thumb/Purple123/v4/c7/38/df/c738dfb5-2856-46d9-a8ab-03fa72b04469/pr_source.png/640x960.png)

## Quantum Wave in a Box Rating Breakdown in United States
- 5 stars: 3 (60%)
- 4 stars: 0 (0%)
- 3 stars: 0 (0%)
- 2 stars: 1 (20%)
- 1 stars: 1 (20%)

## Quantum Wave in a Box Reviews in United States

### **--- "Stopped working."
Used to work great. Now crashes when loading and dumps back to  home screen in one second.
-- bendyboy76, 2018-05-29

[View all Quantum Wave in a Box reviews and detailed analytics on AppTail](https://app.apptail.io/signup?utm_campaign=ai-crawl&utm_content=reviews)




## Apps Similar to Quantum Wave in a Box
- [ODE Solver](https://apptail.io/app/ode-solver-GThe/united-states)
- [Slopes: Differential Equations](https://apptail.io/app/slopes-differential-equations-ZTre/united-states)
- [Chemical Kinetics](https://apptail.io/app/chemical-kinetics-zXOe/united-states)
- [Electrochemistry](https://apptail.io/app/electrochemistry-jFZe/united-states)
- [Matrix Solver Step by Step](https://apptail.io/app/matrix-solver-step-by-step-RDlf/united-states)
- [Modular Arithmetic](https://apptail.io/app/modular-arithmetic-KYcg/united-states)
- [Epicycles](https://apptail.io/app/epicycles-qiUm/united-states)
- [NMR Calculator 2](https://apptail.io/app/nmr-calculator-2-NXOn/united-states)
- [Polynomial Solver Step by Step](https://apptail.io/app/polynomial-solver-step-by-step-tNnu/united-states)
- [NumTest](https://apptail.io/app/numtest-Amou/united-states)

## Quantum Wave in a Box Available In
- [United States](https://apptail.io/app/quantum-wave-in-a-box-PpUe/united-states)
- [France](https://apptail.io/app/quantum-wave-in-a-box-PpUe/france)
- [Germany](https://apptail.io/app/quantum-wave-in-a-box-PpUe/germany)
- [United Kingdom](https://apptail.io/app/quantum-wave-in-a-box-PpUe/united-kingdom)
- [Spain](https://apptail.io/app/quantum-wave-in-a-box-PpUe/spain)
- [Israel](https://apptail.io/app/quantum-wave-in-a-box-PpUe/israel)
- [Bulgaria](https://apptail.io/app/quantum-wave-in-a-box-PpUe/bulgaria)
- [Brazil](https://apptail.io/app/quantum-wave-in-a-box-PpUe/brazil)
- [Belarus](https://apptail.io/app/quantum-wave-in-a-box-PpUe/belarus)
- [Canada](https://apptail.io/app/quantum-wave-in-a-box-PpUe/canada)
- [Switzerland](https://apptail.io/app/quantum-wave-in-a-box-PpUe/switzerland)
- [Chile](https://apptail.io/app/quantum-wave-in-a-box-PpUe/chile)
- [China](https://apptail.io/app/quantum-wave-in-a-box-PpUe/china)
- [Colombia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/colombia)
- [Cyprus](https://apptail.io/app/quantum-wave-in-a-box-PpUe/cyprus)
- [Czechia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/czechia)
- [Denmark](https://apptail.io/app/quantum-wave-in-a-box-PpUe/denmark)
- [Dominican Republic](https://apptail.io/app/quantum-wave-in-a-box-PpUe/dominican-republic)
- [Algeria](https://apptail.io/app/quantum-wave-in-a-box-PpUe/algeria)
- [Ecuador](https://apptail.io/app/quantum-wave-in-a-box-PpUe/ecuador)
- [Estonia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/estonia)
- [Egypt](https://apptail.io/app/quantum-wave-in-a-box-PpUe/egypt)
- [Finland](https://apptail.io/app/quantum-wave-in-a-box-PpUe/finland)
- [Greece](https://apptail.io/app/quantum-wave-in-a-box-PpUe/greece)
- [Hong Kong SAR China](https://apptail.io/app/quantum-wave-in-a-box-PpUe/hong-kong)
- [Hungary](https://apptail.io/app/quantum-wave-in-a-box-PpUe/hungary)
- [Indonesia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/indonesia)
- [Ireland](https://apptail.io/app/quantum-wave-in-a-box-PpUe/ireland)
- [India](https://apptail.io/app/quantum-wave-in-a-box-PpUe/india)
- [Iceland](https://apptail.io/app/quantum-wave-in-a-box-PpUe/iceland)
- [Italy](https://apptail.io/app/quantum-wave-in-a-box-PpUe/italy)
- [Japan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/japan)
- [South Korea](https://apptail.io/app/quantum-wave-in-a-box-PpUe/south-korea)
- [Kuwait](https://apptail.io/app/quantum-wave-in-a-box-PpUe/kuwait)
- [Kazakhstan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/kazakhstan)
- [Lebanon](https://apptail.io/app/quantum-wave-in-a-box-PpUe/lebanon)
- [Lithuania](https://apptail.io/app/quantum-wave-in-a-box-PpUe/lithuania)
- [Latvia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/latvia)
- [North Macedonia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/north-macedonia)
- [Philippines](https://apptail.io/app/quantum-wave-in-a-box-PpUe/philippines)
- [Argentina](https://apptail.io/app/quantum-wave-in-a-box-PpUe/argentina)
- [Austria](https://apptail.io/app/quantum-wave-in-a-box-PpUe/austria)
- [Australia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/australia)
- [Azerbaijan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/azerbaijan)
- [Belgium](https://apptail.io/app/quantum-wave-in-a-box-PpUe/belgium)
- [Uzbekistan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/uzbekistan)
- [Vietnam](https://apptail.io/app/quantum-wave-in-a-box-PpUe/vietnam)
- [South Africa](https://apptail.io/app/quantum-wave-in-a-box-PpUe/south-africa)
- [Malta](https://apptail.io/app/quantum-wave-in-a-box-PpUe/malta)
- [Mexico](https://apptail.io/app/quantum-wave-in-a-box-PpUe/mexico)
- [Malaysia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/malaysia)
- [Nigeria](https://apptail.io/app/quantum-wave-in-a-box-PpUe/nigeria)
- [Netherlands](https://apptail.io/app/quantum-wave-in-a-box-PpUe/netherlands)
- [Norway](https://apptail.io/app/quantum-wave-in-a-box-PpUe/norway)
- [Nepal](https://apptail.io/app/quantum-wave-in-a-box-PpUe/nepal)
- [New Zealand](https://apptail.io/app/quantum-wave-in-a-box-PpUe/new-zealand)
- [Peru](https://apptail.io/app/quantum-wave-in-a-box-PpUe/peru)
- [United Arab Emirates](https://apptail.io/app/quantum-wave-in-a-box-PpUe/united-arab-emirates)
- [Pakistan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/pakistan)
- [Poland](https://apptail.io/app/quantum-wave-in-a-box-PpUe/poland)
- [Portugal](https://apptail.io/app/quantum-wave-in-a-box-PpUe/portugal)
- [Romania](https://apptail.io/app/quantum-wave-in-a-box-PpUe/romania)
- [Russia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/russia)
- [Saudi Arabia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/saudi-arabia)
- [Sweden](https://apptail.io/app/quantum-wave-in-a-box-PpUe/sweden)
- [Singapore](https://apptail.io/app/quantum-wave-in-a-box-PpUe/singapore)
- [Thailand](https://apptail.io/app/quantum-wave-in-a-box-PpUe/thailand)
- [Tunisia](https://apptail.io/app/quantum-wave-in-a-box-PpUe/tunisia)
- [Türkiye](https://apptail.io/app/quantum-wave-in-a-box-PpUe/turkey)
- [Taiwan](https://apptail.io/app/quantum-wave-in-a-box-PpUe/taiwan)
- [Ukraine](https://apptail.io/app/quantum-wave-in-a-box-PpUe/ukraine)
- [Mali](https://apptail.io/app/quantum-wave-in-a-box-PpUe/mali)
- [Senegal](https://apptail.io/app/quantum-wave-in-a-box-PpUe/senegal)
- [Jamaica](https://apptail.io/app/quantum-wave-in-a-box-PpUe/jamaica)

---

## About AppTail

[AppTail](https://apptail.io) is a mobile app intelligence platform providing app analytics, ASO (App Store Optimization) tools, keyword tracking, competitor analysis, revenue estimates, and review monitoring for iOS App Store apps. Track your app's performance, discover ranking keywords, monitor competitors, and analyze market trends.

- [Search Apps](https://apptail.io)
- [Top Charts](https://apptail.io/top-iphone-apps)
- [Sign Up for Full Access](https://app.apptail.io/signup?utm_campaign=ai-crawl&utm_content=footer)

*Data provided by [AppTail](https://apptail.io) - Mobile App Intelligence Platform*