Version history
Quantum Wave in a Box
31
ASO score
Text
33/100
Reviews
0/100
Graphic
60/100
Other
0/100
App Rating
4.7
Votes
12
App Age
9y 11m
Last Update
Jan 08, 2023
Compare with Category Top Apps
|
Metrics
|
Current App
|
Category Top Average
|
Difference
|
|---|---|---|---|
|
Rating
|
4.71
|
4.62
|
+2%
|
|
Number of Ratings (Voted)
|
12
|
1M
|
-100%
|
|
App Age
|
9y 11m
|
8y 6m
|
+17%
|
|
Price
|
$3
|
$1
|
+498%
|
|
In-app Purchases Price
|
$0
|
$65
|
|
|
Update Frequency
|
1100d
|
20d
|
+5 535%
|
|
Title Length
|
21
|
27
|
-22%
|
|
Subtitle Length
|
0
|
28
|
|
|
Description Length
|
3 077
|
2 936
|
+5%
|
|
Number of Screenshots
|
825
|
1346
|
-39
%
|
|
Size
|
12MB
|
246MB
|
-95
%
|
Category Ranking in United States
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Last year
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| Top | Jan 04, 2026 | Jan 11, 2026 |
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| Top | Jan 04, 2026 | Jan 11, 2026 |
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| Top | Jan 04, 2026 | Jan 11, 2026 |
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No results were found!
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Ranking Keywords in United States
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Analyze this and other apps using Asolytics tools
Text ASO
Title
(
Characters:
21
of 30
)
Quantum Wave in a Box
Subtitle
(
Characters:
0
of 30
)
Description
(
Characters:
3077
of 4000
)
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.}
Read more
Other
Additional Information
| Rating: | |
| Voted: | 12 |
| App Store Link: | |
| Price: | 2.99 $ |
| Website: | - |
| Email: | - |
| Privacy Policy: | |
| Categories: | Education |
| Size: | 11MB |
| App Age: | 9 years 11 months |
| Release Date: | Jan 29, 2016 |
| Last Update: | Jan 08, 2023 |
| Version: | 1.0.3 |
Version history
1.0.3
Jan 08, 2023
Update for iOS 16.
1.0.2
Jan 27, 2017
- Language: english (previously appeared mistakenly as french).
- Fixes an issue encountered when trying to access Photos.
- Optimisation of successive graphic actions for repeated taps on HOME button.