标题： 场论的多辛方法中的几何（预）量子化 显示英文标题

标题： Geometric (pre)quantization in the polysymplectic approach to field theory

摘要： 泊松-格伦斯坦伯代数的预量子映射在德东德-魏尔协变哈密顿场论的多辛结构形式中，由微分形式表示的动力变量被提出，并推导出非齐次形式值波函数的相应预量子薛定谔方程。 这是从几何量子化观点理解协变前经典场量子化过程的第一步。 显示英文摘要

摘要： The prequantization map for a Poisson-Gerstenhaber algebra of dynamical variables represented by differential forms within the polysymplectic formulation of the De Donder--Weyl covariant Hamiltonian field theory is presented and the corresponding prequantum Schroedinger equation for a non-homogeneous form valued wave function is derived. This is the first step toward understanding the procedures of covariant precanonical field quantization from the point of view of geometric quantization.