Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
暂无分享,去创建一个
[1] Manfred Salmhofer,et al. Renormalization: An Introduction , 2007 .
[2] F. Golse,et al. Rigorous Derivation of the Cubic NLS in Dimension One , 2007 .
[3] H. Yau,et al. Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate , 2004, math-ph/0410005.
[4] E. Lieb,et al. The Mathematics of the Bose Gas and its Condensation , 2005, cond-mat/0610117.
[5] A. Elgart,et al. Mean field dynamics of boson stars , 2005, math-ph/0504051.
[6] YeYaojun. GLOBAL SOLUTIONS OF NONLINEAR SCHRODINGER EQUATIONS , 2005 .
[7] H. Yau,et al. Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons , 2004, math-ph/0410038.
[8] Horng-Tzer Yau,et al. Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate , 2004, math-ph/0606017.
[9] J. Froehlich,et al. Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation , 2004, math-ph/0409019.
[10] F. Golse,et al. Towards a rigorous derivation of the cubic NLSE in dimension one , 2004 .
[11] T. Cazenave. Semilinear Schrodinger Equations , 2003 .
[12] E. Lieb,et al. Proof of Bose-Einstein condensation for dilute trapped gases. , 2001, Physical review letters.
[13] H. Yau,et al. Derivation of the nonlinear Schr\"odinger equation from a many body Coulomb system , 2001, math-ph/0111042.
[14] R. Weikard,et al. The ground state energy of a dilute Bose gas , 2000 .
[15] François Golse,et al. Weak Copling Limit of the N-Particle Schrödinger Equation , 2000 .
[16] E. Lieb,et al. The Ground State Energy of a Dilute Bose Gas , 1999, math-ph/9910033.
[17] H. Yau,et al. Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation , 1999, math-ph/9901020.
[18] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[19] Séminaire sur les équations aux dérivées partielles,et al. Séminaire equations aux dérivées partielles , 1988 .
[20] H. Spohn. Kinetic equations from Hamiltonian dynamics: Markovian limits , 1980 .
[21] The classical field limit of scattering theory for non-relativistic many-boson systems. II , 1979 .
[22] K. Hepp. The classical limit for quantum mechanical correlation functions , 1974 .
[23] R. Courant,et al. Methods of Mathematical Physics , 1962 .
[24] Dr. M. G. Worster. Methods of Mathematical Physics , 1947, Nature.