Solutions of the Schrodinger equation

https://en.wikipedia.org/wiki/List_of_quantum-mechanical_systems_with_analytical_solutions

As always, the best way to get some intuition about an equation is to solve it for some simple cases, so let's give that a try with different fixed potentials.

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Table of contents | 34, 2k, 35
- Schrödinger equation simulations | 282, 351, 1 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
  - Why it is hard to simulate quantum systems? | 69 | 🔗 link | nosplit | ↑ parent "Schrödinger equation simulations"
- Schrödinger equation for a one dimensional particle | 135 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
- Schrödinger equation for a free one dimensional particle | 12, 12, 1 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
  - Time independent Schrodinger equation for a free one dimensional particle | 🔗 link | nosplit | ↑ parent "Schrödinger equation for a free one dimensional particle"
- Particle in a box | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
- Quantum harmonic oscillator | 130, 235, 3 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
  - Hermite polynomials | 43, 55, 1 | 🔗 link | nosplit | ↑ parent "Quantum harmonic oscillator"
    - Hermite functions | 12 | 🔗 link | nosplit | ↑ parent "Hermite polynomials"
  - Ladder operator | 50 | 🔗 link | nosplit | ↑ parent "Quantum harmonic oscillator"
- Quantum tunnelling | 36 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
- Schrödinger equation solution for the hydrogen atom | 160, 375, 4 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
  - Atomic orbital | 80, 215, 3 | 🔗 link | nosplit | ↑ parent "Schrödinger equation solution for the hydrogen atom"
    - Principal quantum number (n) | 71 | 🔗 link | nosplit | ↑ parent "Atomic orbital"
    - Azimuthal quantum number (l) | 12 | 🔗 link | nosplit | ↑ parent "Atomic orbital"
    - Magnetic quantum number (m_l) | 52 | 🔗 link | nosplit | ↑ parent "Atomic orbital"
- Solutions for the Schrodinger equation with multiple particles | 20, 682, 15 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
- Two-state quantum system | 60, 108, 2 | 🔗 link | nosplit | ↑ parent "Solutions of the Schrodinger equation"
  - Bloch sphere | 40 | 🔗 link | nosplit | ↑ parent "Two-state quantum system"
  - Pauli matrix | 8 | 🔗 link | nosplit | ↑ parent "Two-state quantum system"

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Ancestors

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Incoming links

Schrödinger equation