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Quantum Wave in a Box

Quantum Wave in a Box

by Michel Ramillon

4 ratings
1 review
📚 Education
Free

Details

  • Released
  • Updated
  • January 1, 2017
  • January 8, 2023

Features

Developer

Michel Ramillon
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About

This app numerically solves the one-dimensional Schrödinger equation for non-relativistic particles in user-defined potential fields. It provides energy levels, wave-functions, and animations of wave-packet evolution. Ideal for physics students and educators to visualize quantum mechanics concepts.

✓Schrödinger equation solver (1D)
✓User-defined potential V(x)
✓Hamiltonian matrix diagonalization
✓Wave-packet evolution animation
✓Energy levels and wave-functions visualization
✓RPN expression input for V(x)
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What's New in Quantum Wave in a Box

1.0.3

January 8, 2023

Update for iOS 16.

User reviews

Most RecentHighest RatedLowest Rated

Stopped working.

Used to work great. Now crashes when loading and dumps back to home screen in one second.
bendyboy76bendyboy76

Response from developer

Thanks for this feedback. When you update your device with a new release of iOS, the App may stop working. The code needs to be recompiled. This is what Apple does actually. I did download the App today and it works nice with the latest iOS 11.4. Even if it is still version 1.0.2 of Quantum Wave in a Box. I suggest you delete the App from your device then download it anew. Let me know if it solves the crashing problem and deserve maybe some additional stars.

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FAQ

What is Quantum Wave in a Box used for?

Quantum Wave in a Box is used to numerically solve the one-dimensional Schrödinger equation. It allows users to define potential energy fields and visualize the evolution of wave-packets, aiding in the study of quantum mechanics.

How does Quantum Wave in a Box solve the Schrödinger equation?

The app discretizes the continuous spatial problem and solves the time-independent Schrödinger equation using diagonalization routines. The time-dependent equation is then solved using the computed Hamiltonian and an initial Gaussian wave-packet.

What kind of potentials can I input into Quantum Wave in a Box?

You can input any real potential energy V(x) as an RPN expression. The app uses atomic units, and the quantum system is defined by mass, the interval of the box, and the potential energy function.

Can I see how a wave-packet changes over time with Quantum Wave in a Box?

Yes, the app provides an animation showing the evolution of a Gaussian wave-packet in time. You can observe its movement, changes in kinetic and total energy, and its interaction with the defined potential.

What are the limitations of Quantum Wave in a Box regarding system size?

The maximum number of x-steps (N) depends on your device's RAM. It can go up to 4000 steps when computing eigenvalues and eigenvectors, and up to 8000 steps when computing only eigenvalues.

Does Quantum Wave in a Box have ads?

No, Quantum Wave in a Box does not contain advertisements. It is a free application designed for educational purposes without any ad interruptions.

What devices is Quantum Wave in a Box compatible with?

Quantum Wave in a Box is available for iPhone, iPad, and iPod devices. It is designed to run on Apple's mobile operating system.

How often is Quantum Wave in a Box updated?

The latest version of Quantum Wave in a Box is 1.0.3, last updated on January 8, 2023. The app was initially released on January 1, 2017.