# Quantum Mechanics with a non-zero quantum correlation time

## TL;DR

This paper introduces a modified quantum mechanics framework where quantum noise has a small but non-zero correlation time, leading to corrections in energy levels and implications for uncertainty and locality.

## Contribution

It extends standard quantum mechanics by incorporating finite correlation time of quantum noise and computes the first-order energy corrections.

## Key findings

- First-order energy level corrections derived
- Violation of Heisenberg's uncertainty principle discussed
- Restoration of locality at short times analyzed

## Abstract

We propose an extension of Quantum Mechanics based on the idea that the underlying "quantum noise" has a non-zero, albeit very small, correlation time $\tau_c$. The standard (non-relativistic) Schrodinger equation is recovered to zeroth order in $\tau_c$, and the first correction to energy levels is computed. Some consequences are discussed, in particular the violation of Heisenberg's uncertainty principle and the restoration of locality at short times.