On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas

作者: Jan Dereziński , Krzysztof A. Meissner , Marcin Napiórkowski

DOI: 10.1007/S00023-012-0185-9

关键词:

摘要: We consider translation-invariant quantum systems in thermodynamic limit. argue that their energy-momentum spectra should have shapes consistent with effective models involving quasiparticles. Our main example is second quantized homogeneous interacting Fermi gas a large cubic box periodic boundary conditions, at zero temperature. expect its spectrum has positive energy gap and critical velocity.

参考文章(23)
Res Jost, The general theory of quantized fields American Mathematical Society. ,(1965)
Jan Philip Solovej, Jan Dereziński, Marcin Napiórkowski, ON THE MINIMIZATION OF HAMILTONIANS OVER PURE GAUSSIAN STATES arXiv: Mathematical Physics. ,(2011)
H. D. Cornean, J. Dereziński, P. Ziń, ON THE INFIMUM OF THE ENERGY-MOMENTUM SPECTRUM OF A HOMOGENEOUS BOSE GAS Journal of Mathematical Physics. ,vol. 50, pp. 062103- 062103 ,(2009) , 10.1063/1.3129489
P. Ring, P. Schuck, M. R. Strayer, The Nuclear Many-body Problem ,(1980)
J. Fröhlich, M. Griesemer, B. Schlein, Asymptotic Completeness for Compton Scattering Communications in Mathematical Physics. ,vol. 252, pp. 415- 476 ,(2004) , 10.1007/S00220-004-1180-X
Humphrey J. Maris, Phonon-phonon interactions in liquid helium Reviews of Modern Physics. ,vol. 49, pp. 341- 359 ,(1977) , 10.1103/REVMODPHYS.49.341
J. Bardeen, L. N. Cooper, J. R. Schrieffer, Theory of Superconductivity Physical Review. ,vol. 108, pp. 1175- 1204 ,(1957) , 10.1103/PHYSREV.108.1175
R. H. Critchley, A. I. Solomon, A variational approach to superfluidity Journal of Statistical Physics. ,vol. 14, pp. 381- 393 ,(1976) , 10.1007/BF01030201
Christian Gérard, Morten Grud Rasmussen, Jacob Schach Møller, Asymptotic Completeness in Quantum Field Theory: Translation Invariant Nelson Type Models Restricted to the Vacuum and One-Particle Sectors Letters in Mathematical Physics. ,vol. 95, pp. 109- 134 ,(2011) , 10.1007/S11005-010-0445-X