Resonant perturbation theory of decoherence and relaxation of quantum bits.
Merkli, M., Berman, G.P., Sigal, I.M. (2010)
Advances in Mathematical Physics
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Merkli, M., Berman, G.P., Sigal, I.M. (2010)
Advances in Mathematical Physics
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P. Buttà, S. Caprino, G. Cavallaro, C. Marchioro (2006)
Bollettino dell'Unione Matematica Italiana
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We study the time evolution of a system of infinitely many charged particles confined by an external magnetic field in an unbounded cylindrical conductor and mutually interacting via the Coulomb force. We prove the existence, uniqueness and quasi-locality of the motion. Moreover, we give some nontrivial bounds on its long time behavior.
Klaus Fredenhagen (1977)
Annales de l'I.H.P. Physique théorique
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Jürg Fröhlich, Enno Lenzmann (2003-2004)
Séminaire Équations aux dérivées partielles
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We discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schrödinger equations. Of special interest to us is the Hartree equation with focusing nonlinearity (attractive two-body interactions). Rigorous results for the Hartree equation are presented concerning: 1) its derivation from the quantum theory of large systems of bosons, 2) existence and stability of Hartree solitons, and 3) its point-particle...
E. B. Davies (1978)
Annales de l'I.H.P. Physique théorique
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Akram, Javed, Naseer, Khalid, Rehman, Inam-Ur, Saif, Farhan (2009)
Mathematical Problems in Engineering
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Ulrich H. Gerlach (1988)
Annales de l'I.H.P. Physique théorique
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