ua nt - p h / 01 12 06 1 v 3 6 A ug 2 00 2 Bogoliubov transformations and exact isolated solutions for simple non - adiabatic Hamiltonians
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چکیده
We present a new method for finding isolated exact solutions of a class of non-adiabatic Hamil-tonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian.
منابع مشابه
nt - p h / 01 12 06 1 v 2 1 8 D ec 2 00 1 Bogoliubov transformations and exact isolated solutions for simple non - adiabatic Hamiltonians
We present a new method for finding isolated exact solutions of a class of non-adiabatic Hamiltonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian.
متن کاملnt - p h / 01 12 06 1 v 1 1 0 D ec 2 00 1 Bogoliubov transformations and exact isolated solutions for simple non - adiabatic Hamiltonians
We present a new method for finding isolated exact solutions of a class of non-adiabatic Hamiltonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian.
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متن کاملua nt - p h / 02 06 18 2 v 2 1 8 Se p 20 02 Exact isolated solutions for the two - photon Rabi Hamiltonian
The two-photon Rabi Hamiltonian is a simple model describing the interaction of light with matter, with the interaction being mediated by the exchange of two photons. Although this model is exactly soluble in the rotating-wave approximation, we work with the full Hamiltonian, maintaining the non-integrability of the model. We demonstrate that, despite this non-integrability, there exist isolate...
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The D-dimensional (β, β ′)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)-dimensional quan-tized spacetime. In the D = 3 and β = 0 case, the latter reproduces Snyder algebra. The deformed Poincaré transformations leaving the algebra invariant are identified. It is shown that there exists a nonzero minimal uncertainty in posi...
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تاریخ انتشار 2008