# 量子波函数坍缩

量子叠加、时间演化和波函数测量坍缩在各种势阱中的交互式可视化

> 标准页面: https://elysiatools.com/zh/visualizations/quantum-wave-collapse

- **分类:** Physics

## 概述

Interactive visualization of quantum superposition, time evolution, and wave function measurement collapse across four potential well types. Supports infinite square well (analytical ψₙ = √(2/L)sin(nπx/L)), finite square well (numerical Schrödinger solver via tridiagonal QL eigensolver with exponential barrier penetration), quantum harmonic oscillator (Hermite polynomial wavefunctions with equally-spaced energy levels), and double well (quantum tunneling between wells). Core features: adjustable superposition coefficients |cₙ|² with real-time normalization, animated time evolution Ψ(x,t) = Σcₙψₙ(x)e^{-iEₙt/ℏ} showing interference oscillations in |Ψ|², three synchronized canvases (potential+probability density, energy spectrum bars, eigenstate component overlay), and measurement collapse simulation with weighted random eigenstate selection and smooth transition animation. Numerical engine uses finite-difference discretization of Hamiltonian (300-point grid) and implicit QL algorithm for tridiagonal eigenvalue problems. Educational content covers superposition principle, Born rule, time-dependent Schrödinger equation, infinite/finite/harmonic/double-well potentials with physical descriptions, measurement problem, Copenhagen/Many-Worlds/decoherence interpretations, and Schrödinger's cat paradox. 8 languages (zh, en, es, fr, de, ru, pt, ja).

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