Theoretical and Mathematical Physics

, Volume 91, Issue 3, pp 629–633 | Cite as

Quantization of classical lagrangian mechanics

  • E. I. Bogdanov


The equations of motion of a massive rigid body in the Lagrange—Poisson case (when one point of the body is fixed) are expressed in Hamiltonian form, making it possible to describe the Lagrangian rigid body in terms of classical mechanics. Using Berezin's quantization algorithm, it is possible to associate the Lagrangian classical mechanics with a quantum system, namely, a system of two-level particles interacting with a resonant field.


Rigid Body Quantum System Classical Mechanic Hamiltonian Form Quantization Algorithm 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • E. I. Bogdanov

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