@article{2397,
abstract = {We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs.},
author = {Hainzl, Christian and Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {2},
pages = {119 -- 138},
publisher = {Springer},
title = {{Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs}},
doi = {10.1007/s11005-011-0535-4},
volume = {100},
year = {2012},
}
@misc{2398,
abstract = {We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.},
author = {Jakšić, Vojkan and Ogata, Yoshiko and Pillet, Claude A and Robert Seiringer},
booktitle = {Reviews in Mathematical Physics},
number = {6},
publisher = {World Scientific Publishing},
title = {{Quantum hypothesis testing and non-equilibrium statistical mechanics}},
doi = {10.1142/S0129055X12300026},
volume = {24},
year = {2012},
}
@inbook{2399,
abstract = {Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.
},
author = {Robert Seiringer},
booktitle = {Quantum Many Body Systems},
editor = {Rivasseau, Vincent and Robert Seiringer and Solovej, Jan P and Spencer, Thomas},
pages = {55 -- 92},
publisher = {Springer},
title = {{Cold quantum gases and bose einstein condensation}},
doi = {10.1007/978-3-642-29511-9_2},
volume = {2051},
year = {2012},
}
@article{240,
abstract = {We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior.},
author = {Timothy Browning and Valckenborgh, K Van},
journal = {Experimental Mathematics},
number = {2},
pages = {204 -- 211},
publisher = {Taylor & Francis},
title = {{Sums of three squareful numbers}},
doi = {10.1080/10586458.2011.605733},
volume = {21},
year = {2012},
}
@article{2400,
abstract = {If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2.},
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer},
journal = {Communications in Mathematical Physics},
number = {2},
pages = {405 -- 424},
publisher = {Springer},
title = {{Binding of polarons and atoms at threshold}},
doi = {10.1007/s00220-012-1436-9},
volume = {313},
year = {2012},
}