A set, S, of constitutive elements characterizing mechanical theories is defined. In S, the role played by concepts such as mass, particle, fields and symmetry is discussed. This structure is first used to consider th...A set, S, of constitutive elements characterizing mechanical theories is defined. In S, the role played by concepts such as mass, particle, fields and symmetry is discussed. This structure is first used to consider the Nother’s theorem from an algebraic point of view. As examples, we explore non-relativistic quantum mechanics and special relativistic particles. The set S is then applied to analyze non-abelian gauge theories, considering the Higgs mechanism for generation of mass.展开更多
文摘A set, S, of constitutive elements characterizing mechanical theories is defined. In S, the role played by concepts such as mass, particle, fields and symmetry is discussed. This structure is first used to consider the Nother’s theorem from an algebraic point of view. As examples, we explore non-relativistic quantum mechanics and special relativistic particles. The set S is then applied to analyze non-abelian gauge theories, considering the Higgs mechanism for generation of mass.
