Using Functional Methods to Compute Quantum Effects in the Liouville Model

1995/03/12 by Thomas Curtright, Curtright, T. L., G. I. Ghandour +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.hep-th/9503080

openalex publication_date 1995/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use time-independent canonical transformation methods to discuss the energy eigenfunctions for the simple linear potential, pedagogically setting the stage for some field theory calculations to follow. We then discuss the Schrödinger wave-functional method of calculating correlation functions for Liouville field theory. We compare this approach to earlier treatments, in particular we check against known weak-coupling results for the Liouville field defined on a cylinder. Finally, we further set the stage for future Liouville calculations on curved two-manifolds and briefly discuss simple quantum mechanical systems with time-dependent Hamiltonians.

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