论文标题
一般相对论和爱因斯坦 - 布鲁林 - 面包师量化的符号结构
Symplectic structure for general relativity and Einstein-Brillouin-Keller quantization
论文作者
论文摘要
根据符号几何理论，讨论了一般相对论的哈密顿及其量化系统。经典的一般相对性的符合性几何形状是使用纯重力的广义相空间构建的。根据几何量化的标准程序进行互合歧管的前期化。量子真空溶液是从爱因斯坦 - 布鲁林 - 面包剂量化条件下的经典溶液中选择的。使用前束束实现量子溶液的拓扑校正，即Maslov指数。此外，讨论了Schwarzschild黑洞的可能质谱。
The Hamiltonian system of general relativity and its quantization without any matter or gauge fields are discussed on the basis of the symplectic geometrical theory. A symplectic geometry of classical general relativity is constructed using a generalized phase space for pure gravity. Prequantization of the symplectic manifold is performed according to the standard procedure of geometrical quantization. Quantum vacuum solutions are chosen from among the classical solutions under the Einstein-Brillouin-Keller quantization condition. A topological correction of quantum solutions, namely the Maslov index, is realized using a prequantization bundle. In addition, a possible mass spectrum of Schwarzschild black holes is discussed.
