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Education
Solve the real time-independent Schrödinger equation for an infinite well, a finite well, or a harmonic oscillator, and watch the resulting energy levels and wavefunctions appear from an actual numerical eigenvalue solve. For the two potentials with exact textbook formulas, the numerically-solved energy levels line up with them almost perfectly — a satisfying, built-in correctness check. Select any level to see its wavefunction, and count its nodes: the ground state has none, the first excited state has exactly one, and so on, exactly as quantum mechanics predicts.
Open Quantum Well Solver (quantumwell.apps.vtc.com)
About Quantum Well Solver
Quantum Well Solver is an interactive learning tool on VTC. Solve the real time-independent Schrödinger equation for an infinite well, a finite well, or a harmonic oscillator, and watch the resulting energy levels and wavefunctions appear from an actual numerical eigenvalue solve. For the two potentials with exact textbook formulas, the numerically-solved energy levels line up with them almost perfectly — a satisfying, built-in correctness check. Select any level to see its wavefunction, and count its nodes: the ground state has none, the first excited state has exactly one, and so on, exactly as quantum mechanics predicts. It runs in your web browser and is free to use, and suits students, teachers and self-learners.
Who it's for: Students, teachers and self-learners
Features
- Solve the real time-independent Schrödinger equation for an infinite well, a finite well, or a harmonic oscillator
- Watch the resulting energy levels and wavefunctions appear from an actual numerical eigenvalue solve
- For the two potentials with exact textbook formulas, the numerically-solved energy levels line up with them almost perfectly
- A satisfying, built-in correctness check
- Free to use in your browser
Frequently asked questions
What is Quantum Well Solver on VTC?
Quantum Well Solver is an interactive learning tool on VTC. Solve the real time-independent Schrödinger equation for an infinite well, a finite well, or a harmonic oscillator, and watch the resulting energy levels and wavefunctions appear from an actual numerical eigenvalue solve. For the two potentials with exact textbook formulas, the numerically-solved energy levels line up with them almost perfectly — a satisfying, built-in correctness check.
Is Quantum Well Solver free to use?
Yes. The VTC app catalog lists Quantum Well Solver at no cost, and it runs in your web browser with nothing to install.
Who is Quantum Well Solver for and how do I start?
It is aimed at students, teachers and self-learners. To start, open https://quantumwell.apps.vtc.com in your browser.