An algebraic approach to Koopman classical mechanics
نویسندگان
چکیده
منابع مشابه
The algebraic entropy of classical mechanics
We describe the ‘Lie algebra of classical mechanics’, modelled on the Lie algebra generated by kinetic and potential energy of a simple mechanical system with respect to the canonical Poisson bracket. It is a polynomially graded Lie algebra, a class we introduce. We describe these Lie algebras, give an algorithm to calculate the dimensions cn of the homogeneous subspaces of the Lie algebra of c...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2020
ISSN: 0003-4916
DOI: 10.1016/j.aop.2020.168090