Quantum Mechanics with a non-zero quantum correlation time

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.

Short note (6 pages). Sign typos corrected

References in corpus (5)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Living with Ghosts
• Solution to the ghost problem in fourth order derivative theories
• Pais-Uhlenbeck Oscillator and Negative Energies
• Early Universes with Effective Discrete Time

Cited by in corpus (1)

• Quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particles