Hermitian Form
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. Basic quantum mechanics for three Dirac equations in a curved spacetime
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime by extending Pauli's method. We further extend this study to three versions of the Dirac equation: the standard (Dirac-Fock-Weyl or DFW) equation, and two alternative versions, both of which are based on the recently proposed linear tensor representations of
Brazilian Journal of Physics. Publicado em: 2010-06
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2. Interatomic coulombic decay: a short review
The transition process of the interatomic Coulombic decay (ICD), is an electronic radiationless transition process, driving molecular complexes or clusters to a doubly ionized final state. This process differs from the Auger effect, because it takes place from a neutral monomer after the absorption of a released amount energy of the neighboring monomer in th
Brazilian Journal of Physics. Publicado em: 2009-09
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3. Oscilador de Dirac: ImplicaÃÃes da violaÃÃo da simetria de Lorentz e da massa dependente da posiÃÃo.
In this work we study the Dirac Oscillator (DO) in a threefold way. In the first way, we study DO with Lorentz symmetry violation. This violation is implemented through vectorial and an axial terms. We realize a non-relativistic limit and we obtain that the background vector field does not modify the energy spectrum. However, in the case of the background ax
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/07/2008
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4. Sobre bases normais para extensões galoisianas de corpos / On normal bases for galoisian extensions of fields
Neste trabalho apresentamos várias demonstrações do Teorema da Base Normal para certos tipos de extensões galoisianas de corpos, algumas existenciais e outras construtivas, destacando as diferenças e dificuldades de cada situação. Apresentamos também generalizações de tal teorema e mostramos que toda extensão galoisiana de grau ímpar de corpos ad
Publicado em: 2008
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5. Estruturas quase hermitianas invariantes e ideais abelianos
Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G/P = U/T where P is a minimal parabolic subgroup, U a compact real form and T = U P a maximal torus of U. We study U -invariant almost Hermitian structures on F. The (1, 2)-symplectic (or quasi-Kähler) structures are naturally related to the affine Weyl groups. A special form f
Publicado em: 2003
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6. Quantization of wave equations and hermitian structures in partial differential varieties
Sufficiently close to 0, the solution variety of a nonlinear relativistic wave equation—e.g., of the form □ϕ + m2ϕ + gϕp = 0—admits a canonical Lorentz-invariant hermitian structure, uniquely determined by the consideration that the action of the differential scattering transformation in each tangent space be unitary. Similar results apply to linear
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7. Zeta functions and Eisenstein series on classical groups
We construct an Euler product from the Hecke eigenvalues of an automorphic form on a classical group and prove its analytic continuation to the whole complex plane when the group is a unitary group over a CM field and the eigenform is holomorphic. We also prove analytic continuation of an Eisenstein series on another unitary group, containing the group
The National Academy of Sciences of the USA.
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8. Subelliptic Estimates for Complexes
New results are announced linking properties of the symbol module and characteristic variety of a differential complex with test estimates near the characteristic variety of the type considered by Hörmander (½-estimate). The first result is the invariance of the test estimates under pseudo-differential change of coordinates, and this leads to the introduct
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9. The structure of a class of finite ramified coverings and canonical forms of analytic matrix-functions in a neighborhood of a ramified turning point
Let X be the germ of a complex- or real-analytic manifold M at a point xo ∈ M, or the henselian germ of an algebraic manifold M over a field k of characteristic zero at a point xo ∈ M(k), D ⊂ X a divisor. Under some assumptions on D and its singularities we give a description of the structure, the singularities, and the divisor class group of all finit
The National Academy of Sciences.