# 双缝量子轨迹 - Double Slit Quantum Trajectory

交互式量子力学模拟，展示单粒子干涉和概率分布

> 标准页面: https://elysiatools.com/zh/visualizations/double-slit-quantum

- **分类:** Physics

## 概述

Interactive quantum mechanics simulation demonstrating single-particle double slit experiment, wave-particle duality, and probability distribution. Features quantum intensity formulas: With interference (no detector): I(θ) = I₀·cos²(πd·sinθ/λ)·(sin(α)/α)² where α = πa·sinθ/λ. Without interference (path detector): I(θ) = 2·I₀·(sin(α)/α)². de Broglie wavelength: λ = h/p. Probability amplitude: ψ = ψ₁ + ψ₂. Probability: |ψ|² = |ψ₁|² + |ψ₂|² + 2Re(ψ₁*ψ₂). Measurement effect: path information destroys interference cross-term. Real-time visualization includes: (1) Experimental setup (side view) showing electron gun, double slit barrier, optional path detector, detection screen, and wave function propagation animation; (2) Particle accumulation pattern on screen with individual particle hits colored by local density (blue→cyan→green→yellow→red), theoretical probability curve overlay, and histogram display; (3) Statistics panel tracking emitted/detected particles, center intensity, detector status, and experiment time. Monte Carlo particle sampling uses accept-reject method based on theoretical intensity distribution. Adjustable parameters: slit separation d (0.1-10.0 μm), slit width a (0.05-2.0 μm), screen distance L (0.1-5.0 m), de Broglie wavelength λ (10-200 pm with presets for electron 50pm, proton 2pm, slow electron 150pm), particles per frame (1-100), path detector toggle, theoretical curve overlay, particle trajectory animation, and point display density. Educational content covers quantum trajectory concept (no well-defined paths, wave function evolution), wave-particle duality (individual particle hits vs statistical interference pattern), measurement effect (quantum superposition collapse, distinguishable paths eliminate interference), probability amplitudes and quantum interference (constructive/destructive, cross-term vanishes with measurement), de Broglie wavelength (matter waves, picometer scale for electrons, Nobel Prize 1929), and applications: electron microscopy, quantum computing coherence, quantum cryptography, decoherence research, and quantum-to-classical transition. Multi-language support (zh, en, es, fr, de, ru, pt).

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