# On obtaining classical mechanics from quantum mechanics

@article{Date2006OnOC, title={On obtaining classical mechanics from quantum mechanics}, author={Ghanashyam Date}, journal={Classical and Quantum Gravity}, year={2006}, volume={24}, pages={535 - 550} }

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…

## 4 Citations

### Loop Quantum Cosmology

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- 2008

L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.

### EFFECTIVE CONSTRAINTS FOR QUANTUM SYSTEMS

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An effective formalism for quantum constrained systems is presented which allows manageable derivations of solutions and observables, including a treatment of physical reality conditions without…

### Path integral representation for polymer quantized scalar fields

- Physics
- 2015

According to loop quantum gravity, matter fields must be quantized in a background-independent manner. For scalar fields, such a background-independent quantization is called polymer quantization and…

### Loop Quantum Cosmology

- PhysicsLiving reviews in relativity
- 2005

Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities,…

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