# Quantum Mechanics

> Quantum physics and wave mechanics

- Skill: `ffsshhttiikk/quantum-mechanics` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ffsshhttiikk/quantum-mechanics`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ffsshhttiikk/quantum-mechanics/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- License: MIT
- Author: ffsshhttiikk (https://skillmd.com/u/ffsshhttiikk)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/ffsshhttiikk/quantum-mechanics

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## What I do
- Solve Schrödinger equation for various potentials
- Analyze quantum mechanical operators and observables
- Model quantum tunneling and barrier penetration
- Calculate expectation values and probability distributions
- Study angular momentum and spin systems
- Apply perturbation theory for approximate solutions

## When to use me
When analyzing atomic, molecular, or subatomic systems, or designing quantum devices.

## Key Concepts
- **Schrödinger Equation**: iℏ∂ψ/∂t = Ĥψ, time-independent: Ĥψ = Eψ
- **Wave Function**: |ψ|² gives probability density, normalized ∫|ψ|²dτ = 1
- **Uncertainty Principle**: ΔxΔp ≥ ℏ/2, ΔEΔt ≥ ℏ/2
- **Quantum Harmonic Oscillator**: E_n = (n + ½)ℏω, quantized energy levels
- **Tunneling**: Probability T ≈ e^{-2γd} through potential barriers
- **Spin**: s = ½ for electrons, Pauli exclusion principle for fermions