Semiclassical Symmetries |
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| Authors: | O.Yu. Shvedov |
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| Affiliation: | Sub-department of Quantum Statistics and Field Theory, Department of Physics, Moscow State University, Moscow, Vorobievy Gory, 119899, Russiaf1shvedov@qs.phys.msu.suf1 |
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| Abstract: | Essential properties of semiclassical approximation for quantum mechanics are viewed as axioms of an abstract semiclassical mechanics. Its symmetry properties are discussed. Semiclassical systems being invariant under Lie groups are considered. An infinitesimal analog of group relation is written. Sufficient conditions for reconstructing semiclassical group transformations (integrability of representation of Lie algebra) are discussed. The obtained results may be used for mathematical proof of Poincare invariance of semiclassical Hamiltonian field theory and for investigation of quantum anomalies. |
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