Reduced Gutzwiller formula with symmetry: Case of a Lie group
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چکیده
منابع مشابه
Reduced Gutzwiller Formula with Symmetry: Case of a Lie Group
We consider a classical Hamiltonian H on R, invariant by a Lie group of symmetry G, whose Weyl quantization Ĥ is a selfadjoint operator on L(R). If χ is an irreducible character of G, we investigate the spectrum of its restriction Ĥχ to the symmetry subspace L2χ(R ) of L(R) coming from the decomposition of Peter-Weyl. We give semi-classical Weyl asymptotics for the eigenvalues counting function...
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We consider a classical Hamiltonian H on R2d, invariant by a finite group of symmetry G, whose Weyl quantization Ĥ is a selfadjoint operator on L2(Rd). If χ is an irreducible character of G, we investigate the spectrum of its restriction Ĥχ to the symmetry subspace Lχ(R d) of L2(Rd) coming from the decomposition of Peter-Weyl. We give reduced semi-classical asymptotics of a regularised spectral...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2006
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2005.11.003