∂t2Ψ(r,t)=∇⋅(c2A(r,t)∇Ψ)−κ∂tΨ−μDt1−α∂tΨ−δΨδV(Ψ;θ(r,t))−∫K(r−r′;ξ)(Ψ(r,t)−Ψ(r′,t))dr′+Sstruct(t)+ξ(r,t)
c6767cd verified | <html lang="en" class="h-full"> | |
| <head> | |
| <meta charset="UTF-8"> | |
| <meta name="viewport" content="width=device-width, initial-scale=1.0"> | |
| <title>Quantum Wave Simulator</title> | |
| <link rel="stylesheet" href="style.css"> | |
| <script src="https://cdn.tailwindcss.com"></script> | |
| <script src="https://cdn.jsdelivr.net/npm/feather-icons/dist/feather.min.js"></script> | |
| <script src="https://unpkg.com/feather-icons"></script> | |
| <script> | |
| tailwind.config = { | |
| theme: { | |
| extend: { | |
| colors: { | |
| primary: { | |
| 500: '#6366f1', | |
| }, | |
| secondary: { | |
| 500: '#8b5cf6', | |
| } | |
| } | |
| } | |
| } | |
| } | |
| </script> | |
| </head> | |
| <body class="bg-gray-900 text-white h-full flex flex-col"> | |
| <custom-navbar></custom-navbar> | |
| <main class="flex-grow container mx-auto px-4 py-8"> | |
| <div class="max-w-4xl mx-auto"> | |
| <h1 class="text-4xl font-bold mb-6 text-center bg-gradient-to-r from-primary-500 to-secondary-500 bg-clip-text text-transparent"> | |
| Quantum Wave Equation Simulator | |
| </h1> | |
| <div class="bg-gray-800 rounded-xl p-6 shadow-lg mb-8"> | |
| <div class="flex items-center mb-4"> | |
| <i data-feather="zap" class="text-primary-500 mr-2"></i> | |
| <h2 class="text-2xl font-semibold">Wave Equation</h2> | |
| </div> | |
| <div class="bg-gray-700 p-4 rounded-lg overflow-x-auto"> | |
| <code class="text-sm md:text-base text-gray-300"> | |
| ∂²Ψ(r,t)/∂t² = ∇·(c²A(r,t)∇Ψ) - κ∂Ψ/∂t - μDₜ¹⁻ᵅ∂Ψ/∂t - δV(Ψ;θ(r,t))/δΨ - ∫K(r-r′;ξ)(Ψ(r,t)-Ψ(r′,t))dr′ + Sₛₜᵣᵤ𝒸ₜ(t) + ξ(r,t) | |
| </code> | |
| </div> | |
| </div> | |
| <div class="grid md:grid-cols-2 gap-6"> | |
| <div class="bg-gray-800 rounded-xl p-6 shadow-lg"> | |
| <div class="flex items-center mb-4"> | |
| <i data-feather="sliders" class="text-secondary-500 mr-2"></i> | |
| <h2 class="text-xl font-semibold">Parameters</h2> | |
| </div> | |
| <div class="space-y-4"> | |
| <div> | |
| <label class="block text-sm font-medium mb-1">Wave Speed (c)</label> | |
| <input type="range" min="0" max="10" value="3" step="0.1" class="w-full h-2 bg-gray-700 rounded-lg appearance-none cursor-pointer"> | |
| </div> | |
| <div> | |
| <label class="block text-sm font-medium mb-1">Damping (κ)</label> | |
| <input type="range" min="0" max="1" value="0.2" step="0.01" class="w-full h-2 bg-gray-700 rounded-lg appearance-none cursor-pointer"> | |
| </div> | |
| <div> | |
| <label class="block text-sm font-medium mb-1">Fractional Order (α)</label> | |
| <input type="range" min="0" max="1" value="0.5" step="0.1" class="w-full h-2 bg-gray-700 rounded-lg appearance-none cursor-pointer"> | |
| </div> | |
| </div> | |
| </div> | |
| <div class="bg-gray-800 rounded-xl p-6 shadow-lg"> | |
| <div class="flex items-center mb-4"> | |
| <i data-feather="activity" class="text-primary-500 mr-2"></i> | |
| <h2 class="text-xl font-semibold">Visualization</h2> | |
| </div> | |
| <div class="aspect-w-1 aspect-h-1 bg-gray-700 rounded-lg flex items-center justify-center"> | |
| <canvas id="waveCanvas" class="w-full h-full rounded-lg"></canvas> | |
| </div> | |
| <div class="mt-4 flex justify-center space-x-4"> | |
| <button class="px-4 py-2 bg-primary-500 hover:bg-primary-600 rounded-lg flex items-center"> | |
| <i data-feather="play" class="mr-2"></i> Start | |
| </button> | |
| <button class="px-4 py-2 bg-gray-700 hover:bg-gray-600 rounded-lg flex items-center"> | |
| <i data-feather="pause" class="mr-2"></i> Pause | |
| </button> | |
| </div> | |
| </div> | |
| </div> | |
| </div> | |
| </main> | |
| <custom-footer></custom-footer> | |
| <script src="components/navbar.js"></script> | |
| <script src="components/footer.js"></script> | |
| <script src="script.js"></script> | |
| <script> | |
| feather.replace(); | |
| </script> | |
| <script src="https://huggingface.co/deepsite/deepsite-badge.js"></script> | |
| </body> | |
| </html> |