On obtaining classical mechanics from quantum mechanics

  title={On obtaining classical mechanics from quantum mechanics},
  author={Ghanashyam Date},
  journal={Classical and Quantum Gravity},
  pages={535 - 550}
  • G. Date
  • Published 18 June 2006
  • Physics
  • Classical and Quantum Gravity
Constructing a classical mechanical system associated with a given quantum-mechanical one entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of coarser observations. The Hilbert space of any quantum-mechanical system naturally has the structure of an infinite-dimensional symplectic manifold (‘quantum phase space’). There is also a systematic, quotienting procedure which imparts a bundle structure to the… 

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