Abstract
The modelling of physical systems and their quantization methods are intimately related with algebras and symmetries. We discuss this relation in the following example:
Consider a (classical non-relativistic) mechanical system, e.g. a one-particle system, localized in R 3 and with a Hamiltonian h as a function on the corresponding phase space Γ(R 3) = R 6.
On leave from Czech Technical University, Faculty of Nuclear Science and Physical Engineering, Btehová 7, CS-115 19 Prague (Czechoslovakia).
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Doebner, H.D., Tolar, J. (1991). Algebras and Symmetries — Quantum Mechanical Symmetry Breaking. In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_6
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DOI: https://doi.org/10.1007/978-1-4615-3696-3_6
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