# Quantum Harmonic Oscillator Engine AI Agent Connect

> Calculates energy levels, vibrational frequency, and wavefunctions for quantum harmonic oscillators.

## Overview
- **Category:** science
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_gqs6uDIippaVmlxzPzfTDPyaDkmnIRilbFZV9idZ/ai-agent-connect
- **Tags:** quantum, physics, oscillator, wavefunction, computation

## Description

This MCP server provides a specialized computation engine for determining the physical properties of quantum harmonic oscillators. It allows AI agents to calculate quantized energy levels, vibrational frequencies, and zero-point energy. Users can also evaluate wavefunction properties at specific positions and apply anharmonic corrections to model real-world deviations from ideal parabolic potentials. Use `get_system_summary` for a high-level overview of the oscillator's fundamental properties.

## Tools

### get_energy_levels
An optional anharmonic correction can be applied.

Determines the quantized energy levels for a specific state

### get_oscillator_frequency
Calculates the fundamental vibrational frequency of the system

### get_system_summary
Provides a high-level overview of the oscillator's fundamental properties

### get_wavefunction_properties
Provides the probability characteristics of the particle at a specific quantum state

## Prompt Examples

**Prompt:** 
```
What is the vibrational frequency for a particle with mass 1.0 and force constant 50.0?
```

**Response:** 
```
The fundamental vibrational frequency for the system is 7.071 Hz.
```

**Prompt:** 
```
Calculate the energy levels for mass 2.0, force constant 100.0, and quantum number 0.
```

**Response:** 
```
The energy for the ground state (n=0) is 5.0 units.
```

**Prompt:** 
```
Give me a summary of the oscillator with mass 1.5 and force constant 30.0.
```

**Response:** 
```
The system has a frequency of 4.472 Hz and a ground state energy of 2.236 units.
```

## Frequently Asked Questions

**How do I calculate the energy levels for a specific state?**
You can use the `get_energy_levels` tool by providing the mass, force constant, and the desired quantum number.

**Can I account for non-ideal potential wells?**
Yes, the `get_energy_levels` tool accepts an optional anharmonic correction parameter to model deviations from a perfect parabola.

**What is the zero-point energy?**
Zero-point energy is the lowest possible energy state of the system, which remains even at absolute zero due to quantum effects.