论文标题
Hamilton-Jacobi方法用于Regge-Teitelboim宇宙学
Hamilton-Jacobi approach for Regge-Teitelboim cosmology
论文作者
论文摘要
开发了针对由Regge-teitelboim模型描述的大地易生的汉密尔顿 - 雅各比形式主义。我们专注于对汉密尔顿人的完整集合的描述，这些汉密尔顿人除了获得汉密尔顿主要功能$ s $外，还要确保模型的整合性。为了做到这一点，我们通过适当定义一组产生一阶拉格朗日的辅助变量来避免模型的二阶衍生性质。作为加速理论的线性，该方案不可避免地需要对所谓的广义泊松支架进行足够的重新定义，以便在减少的相空间中实现正确的演变。此外，这个汉密尔顿 - 雅各比框架还使我们能够在模型的半古典近似下探索量子行为。还提供了与Ostrogradski-Hamilton方法进行约束系统的比较。
The Hamilton-Jacobi formalism for a geodetic brane-like universe described by the Regge-Teitelboim model is developed. We focus on the description of the complete set of Hamiltonians that ensure the integrability of the model in addition to obtaining the Hamilton principal function $S$. In order to do this, we avoid the second-order in derivative nature of the model by appropriately defining a set of auxiliary variables that yields a first-order Lagrangian. Being a linear in acceleration theory, this scheme unavoidably needs an adequate redefinition of the so-called Generalized Poisson Bracket in order to achieve the right evolution in the reduced phase space. Further this Hamilton-Jacobi framework also enables us to explore the quantum behaviour under a semi-classical approximation of the model. A comparison with the Ostrogradski-Hamilton method for constrained systems is also provided in detail.
