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Titlebook: Advances in Quantum Mechanics; Contemporary Trends Alessandro Michelangeli,Gianfausto Dell‘Antonio Book 2017 Springer International Publis

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Remarks on the Derivation of Gross-Pitaevskii Equation with Magnetic Laplacian,The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation. We elucidate the steps needed to adapt to the magnetic case the proof of the derivation of the Gross-Pitaevskii equation within the “projection counting” scheme.
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Lecture Notes in Computer Science. is a measure-valued potential. The potentials under consideration are given in terms of surface measures on the boundary of bounded regular domains in .. We give three main results. We study the self-adjointness. We give a criterion for the existence of point spectrum, with applications to electro
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Riccardo Rizzo,Paulo J. G. Lisboaracting through a two-body potential ... (...). For any 0 ≤ . ≤ 1 well known results establish the trace norm convergence of the k-particle reduced density matrices associated with the solution of the many-body Schrödinger equation towards products of solutions of a one-particle non linear Schröding
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https://doi.org/10.1007/978-3-319-67834-4f an ideal Bose gas with Dirichlet boundary conditions in a finite volume ., from the free energy variation with respect to a Gibbs temperature state and from the monotonicity of the relative entropy. Hypercontractivity of the semigroup . is also deduced.
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Vo Tan Tai,Doan Ngoc Minh,Dang Xuan Baa generic compact part to which a finite number of half-lines are attached. In particular we concentrate on the main theorem in Cacciapuoti et al. (Ground state and orbital stability for the NLS equation on a general starlike graph with potentials, preprint arXiv:1608.01506) which covers the most ge
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