# 阿哈罗诺夫-玻姆效应模拟器

交互式阿哈罗诺夫-玻姆效应模拟：调节螺线管磁通量，观察双缝实验中量子相位偏移与干涉条纹变化

> 标准页面: https://elysiatools.com/zh/visualizations/aharonov-bohm

- **分类:** Physics

## 概述

Interactive simulation of the Aharonov-Bohm effect demonstrating that the electromagnetic vector potential A has direct physical significance in quantum mechanics. A charged particle acquires a quantum phase shift δφ = (e/ℏ)Φ even when traveling through a region where B = 0, provided the path encloses magnetic flux. The simulation features a double-slit experiment with a solenoid between the two paths. Adjustable magnetic flux Φ/Φ₀ (−2 to +2), wavelength λ, and slit separation d. The interference pattern shifts in real time: I(θ) = cos²(πd sinθ/λ + δφ/2). Four presets: Zero Flux (standard pattern), Half Quantum (half-fringe shift), Full Quantum (pattern identical to zero flux by 2π periodicity), Phase Shift π (constructive/destructive swap). Display options: particle paths with animated electrons, solenoid with flux indicator, vector potential field lines A showing curling pattern where B = 0, interference screen. Real-time statistics: phase shift δφ in units of π, flux ratio, central fringe position, pattern state. Bottom canvas shows intensity profile with fringe shift marker. Educational content covers AB effect theory (topological phase, Tonomura 1986 experiment), interference and phase (gauge invariance, 2π periodicity), applications (Berry phase, SQUID magnetometers, topological insulators, topological quantum computing, electron holography). Multi-language support (zh, en, es, fr, de, ru, pt).

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