Science & Education
Wavefunction Normalization Constant Calculator
Solve ∫|ψ|²dx = 1 for A: infinite well √(2/L), Gaussian (πσ²)^(−1/4), oscillator ground (mω/πℏ)^(1/4), exponential √(2α), with checks and moments.
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Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/wave-function-normalizer' \
-H 'Content-Type: application/json' \
-d '{"family":"box","wellLength":1e-9,"wellLevel":1,"gaussianSigma":0,"hoMass":0,"hoOmega":0,"decayConstant":0}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/wave-function-normalizerParameters
| Name | Type | Required | Description |
|---|---|---|---|
| family | select | Yes | — |
| wellLength | number | No | — |
| wellLevel | number | No | — |
| gaussianSigma | number | No | — |
| hoMass | number | No | — |
| hoOmega |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-wave-function-normalizer": {
"name": "wave-function-normalizer",
"description": "Solve ∫|ψ|²dx = 1 for A: infinite well √(2/L), Gaussian (πσ²)^(−1/4), oscillator ground (mω/πℏ)^(1/4), exponential √(2α), with checks and moments.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=wave-function-normalizer",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "wave-function-normalizer",
"arguments": {
"family": "box",
"wellLength": 1e-9,
"wellLevel": 1,
"gaussianSigma": 0,
"hoMass": 0,
"hoOmega": 0,
"decayConstant": 0
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]