Teletransporte Quântico, Dinâmica de Campos Térmicos e a Álgebra de Lie su(2)

Neste trabalho investigamos a relação entre a duplicação do formalismo da Dinâmica de Campos Térmicos (DCT) e o procedimento de purificação na teoria da Informação Quântica. Em seguida, analisamos efeitos de temperatura no teletransporte quântico de estados bosônicos, utilizando a DCT, e através da álgebra de Lie su(2) termalizada realizamos o protocolo do teletransporte. Derivamos o operador densidade associado aos estados termalizados a fim de calcularmos a fidelidade do teletransporte e o limite de temperatura nula

Noncommutative Geometry and Symplectic Field Theory

In this work we study representations of the Poincare group defined over symplectic manifolds, deriving the Klein-Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; the Noether theorem is derived in phase space and an interacting field, including a gauge field, approach is discussed.Comment: To appear in Physics Letters

Non-linear Liouville and Shr\"odinger equations in phase space

Unitary representations of the Galilei group are studied in phase space, in order to describe classical and quantum systems. Conditions to write in general form the generator of time translation and Lagrangians in phase space are then established. In the classical case, Galilean invariance provides conditions for writing the Liouville operator and Lagrangian for non-linear systems. We analyze, as an example, a generalized kinetic equation where the collision term is local and non-linear. The quantum counter-part of such unitary representations are developed by using the Moyal (or star) product. Then a non-linear Schr\"odinger equation in phase space is derived and analyzed. In this case, an association with the Wigner formalism is established, which provides a physical interpretation for the formalism

Physica A: Statistical Mechanics and its Applications

Texto completo. Acesso restrito. p. 471-481A two-spacial dimension electronic system characterized by a plasma parameter F ~< 1 is analyzed; then, by using a rigorous non-equilibrium statistical mechanical theory, the evolution of distribution function is considered. A generalized Vlasov equation (GVE) is derived. Compared to the usual Vlasov equation, GVE presents an additional velocitydependent correlation term. Taking as a starting point the GVE, the phenomenological approximation to two-particles function, f2(rlr2ptp2; t) = f~(rlp~; t)fl(r2P2; t)g(r~ - r2) , proposed by Singwi, Tosi, Landi and Sjolander is analyzed

Journal of Mathematical Chemistry

Texto completo. Acesso restrito. p. 317-330Concepts of functional analysis, namely, regular points, tangent subspaces, constraint surfaces, Lagrangian matrix restricted to the tangent subspace of a constraint surface, are presented in connection with the Hartree-Fock (HF) problem. The energy functional in LCAO approximation is considered to be a polynomial function of several variables subject to subsidiary conditions. General HF equations and instability conditions for the unrestricted Hartree- Fock (UHF) solutions are derived from this standpoint