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The classical mechanics and electromagnetic expressions are a consequence of quantum mechanics
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At the undergraduate level, consider Classical Mechanics by John Taylor and A Studentβs Guide to Lagrangians and Hamiltonians by Patri
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Note, however, that classical systems, including Einsteinβs general relativity are commutative (or Abelian) theories, whereas quantum theories are intrinsically non-commutative (or non-Abelian), most likely as a consequnece of the non-comutativity of quantum logics and the Heisenberg uncertainty principle of quantum mechanics
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Classical Mechanics With Problems And SolutionsClassical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies
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In all instances, classical and quantum concepts are fully parallel: the same general theory has a classical realization and a quantum realization
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