منابع مشابه
Phonon representations ( lattice / spectrum )
The gap between the nonlocalized latticephonon description and the localized Einstein oscillator treatment is filled by transforming the phonon Hamiltonian back to the particle variables. The particle-coordinate, normalized, wave function for the phonon vacuum state is exhibited. The lattice phonon is a spatially nonlocalized concept. There are circumstances, however, that require its combinati...
متن کاملDistinguished positive regular representations
Let $G$ be a tamely ramified reductive $p$-adic group. We study distinction of a class of irreducible admissible representations of $G$ by the group of fixed points $H$ of an involution of $G$. The representations correspond to $G$-conjugacy classes of pairs $(T,phi)$, where $T$ is a tamely ramified maximal torus of $G$ and $phi$ is a quasicharacter of $T$ whose restriction t...
متن کاملEffect of phonon-phonon interactions on localization.
We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays exponentially with system size N. Using simulations we find that even a small amount of anharmonicity ...
متن کاملCoupling between phonon-phonon and phonon-impurity scattering: A critical revisit of the spectral Matthiessen’s rule
The spectral Matthiessen’s rule is commonly used to calculate the total phonon scattering rate when multiple scattering mechanisms exist. Here we predict the spectral phonon relaxation time τ of defective bulk silicon using normal mode analysis based on molecular dynamics and show that the spectral Matthiessen’s rule is not accurate due to the neglect of the coupling between anharmonic phonon-p...
متن کاملDeformation of Outer Representations of Galois Group
To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1990
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.87.18.6983