J. D. M. Vianna

Publications22
h-index8
Citations213
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Algebraic Criteria for Entanglement in Multipartite Systems
Abstract Quantum computing depends heavily on quantum entanglement. It has been known that geometric models for correlated two-state quantum systems (qubits) can be developed using geometric algebra.… Expand
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The fitting of potential energy and transition moment functions using neural networks: transition probabilities in OH (A2Σ+→X2Π)
Abstract We have studied the performance of the back-propagation neural network with different architectures and activation functions to fit potential energy curves and dipolar transition moment… Expand
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On the Generalized Phase Space Approach to Duffin-Kemmer-Petiau Particles
We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic… Expand
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Sobre os Estados Emaranhados
O emaranhamento quântico esta na base de muitos estudos em computacao e informacao quânticas. Nesta comunicacao apresentamos alguns dados e conceitos relativos a este campo de pesquisa. Exemplos de… Expand
Quantum mechanics on phase space: The hydrogen atom and its Wigner functions
Abstract Symplectic quantum mechanics (SQM) considers a non-commutative algebra of functions on a phase space Γ and an associated Hilbert space H Γ , to construct a unitary representation for the… Expand
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Galilean Duffin–Kemmer–Petiau algebra and symplectic structure
We develop the Duffin–Kemmer–Petiau (DKP) approach in the phase-space picture of quantum mechanics by considering DKP algebras in a Galilean covariant context. Specifically, we develop an algebraic… Expand
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Galilean-Covariant Clifford Algebras in the Phase-Space Representation
We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schrödinger equation for the density matrix of spin-1/2 particles in the presence… Expand
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Non-extensive statistical entropy, quantum groups and quantum entanglement
In this work, we explore a new connection between quantum groups and Tsallis entropy through the energy spectrum of a Hamiltonian with SUq(2) symmetry. Identifying the deformation parameter of the… Expand
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Supersymmetric symplectic quantum mechanics
Abstract Symplectic Quantum Mechanics SQM considers a non-commutative algebra of functions on a phase space Γ and an associated Hilbert space H Γ to construct a unitary representation for the Galilei… Expand
C*-Álgebras e a Descrição da Mecânica Quântica
1Campus Juazeiro, Universidade Federal do Vale do São Francisco, Juazeiro, BA, Brasil 2Instituto de Matemática, Universidade Federal da Bahia, Salvador, BA, Brasil 3Departamento de Ciências Exatas e… Expand