Equivalent Hamiltonian approach to quantum cosmology of integrable models

TL;DR

This paper introduces an equivalent Hamiltonian method for quantum cosmology of integrable models with two variables, enabling analysis of quantum dynamics through reduced phase space techniques.

Contribution

It presents a novel approach using equivalent Hamiltonians derived via the Faddeev-Jackiw method for studying quantum cosmology of integrable models.

Findings

Enables analysis of quantum dynamics in integrable cosmological models.

Provides a systematic way to reduce phase space using equivalent Hamiltonians.

Facilitates application of various techniques to study quantum behavior.

Abstract

We propose an approach to quantum cosmology of integrable models. To analyze the models with two dynamical variables, we introduce equivalent Hamiltonians in reduced phase spaces, which are obtained with the aid of the Faddeev--Jackiw method. Quantum dynamics of the models can be studied by using the equivalent Hamiltonians with various techniques.