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5 papers · 1 filter
Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
M. J. Martins, C. S. Melo
We apply the algebraic Bethe ansatz developed in our previous paper \cite{CM} to three different families of U(1) integrable vertex models with arbitrary bond states. These sta…
Mathematical justification of the Aharonov-Bohm hamiltonian
Cesar R. de Oliveira, Marciano Pereira
It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is…
Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
Cesar R. de Oliveira, Mariza S. Simsen
We study almost periodic orbits of quantum systems and prove that for periodic time-dependent Hamiltonians an orbit is almost periodic if, and only if, it is precompact. In the cas…
Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations
M. Cobo, C. Gutierrez, C. R. de Oliveira
It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero…
Quantum Hamiltonians with Quasi-Ballistic Dynamics and Point Spectrum
Cesar R. de Oliveira, Roberto A. Prado
Consider the family of Schrödinger operators (and also its Dirac version) on or \[ H^W_{ω,S}=Δ+ λF(S^nω) + W, \quad ω\inΩ, \] where is…