# The Operator Formulation of Classical Mechanics and Semiclassical Limit

@article{Prvanovic1999TheOF, title={The Operator Formulation of Classical Mechanics and Semiclassical Limit}, author={Slobodan Prvanovic}, journal={International Journal of Theoretical Physics}, year={1999}, volume={51}, pages={1838-1846} }

The algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the parameter taking values between zero and some nonvanishing h0. For the later of these two extreme values, introduced operator algebra becomes equivalent to the algebra of observables of quantum mechanical system defined in the standard manner by operators in the Hilbert space. For the vanishing Planck constant, the…

## One Citation

Problem of Measurement Within the Operator Formulation of Hybrid Systems

- Physics
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The basic concepts of classical mechanics are given in operator form. Then ahybrid systems approach with the operator formulation of both quantum andclassical sectors is applied to the case of an…

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