منابع مشابه
Formula Processing on Physical Systems by Symmetry
Symmetry plays an important role in human reasoning about physical systems. Symmetry has been used as a constraint when deriving models for specific systems (as in dimensional analysis) as well as for physical laws. After reviewing human reasoning by symmetry in physics, this paper formalizes a symmetry-based reasoning. In dimensional analysis, only the scale symmetry for unit of measure of ind...
متن کاملA Master Formula for Chiral Symmetry Breaking
We derive a master formula for chiral SU(2)×SU(2) breaking, based on the VeltmanBell equations and the Peierls-Dyson relation. Our approach does not rely on the use of the soft pion limit or an expansion around the chiral limit, and yields exact results for on-shell pions. Threshold theorems for πN → πN , γN → πN , πN → ππN , γN → γπN , γN → ππN and πN → πγN are recovered, and corrections to th...
متن کاملA formula for a symmetry detective
Detectives are used to determine the symmetry of attractors in finite-dimensional systems. We derive an explicit formula for a symmetry detective for each representation of a finite group.
متن کاملReduced Gutzwiller Formula with Symmetry: Case of a Finite Group
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...
متن کاملReduced 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2004
ISSN: 0723-0869
DOI: 10.1016/s0723-0869(04)80011-2