The Klein–Gordon equation on Z 2 and the quantum harmonic lattice
Tài liệu tham khảo
Borovyk, 2012, Dispersive estimates for harmonic oscillator systems, J. Math. Phys., 53, 10.1063/1.3677978
Bratteli, 1997
Buttà, 2007, On the propagation of a perturbation in an anharmonic system, J. Stat. Phys., 127, 313, 10.1007/s10955-007-9278-0
Collins, 2016, A multi-dimensional resolution of singularities with applications to analysis, Am. J. Math.
Cramer, 2008, Locality of dynamics in general harmonic quantum systems
Greenblatt, 2009, The asymptotic behavior of degenerate oscillatory integrals in two dimensions, J. Funct. Anal., 257, 1759, 10.1016/j.jfa.2009.06.015
Ikromov, 2011, Uniform estimates for the Fourier transform of surface carried measures in R3 and an application to Fourier restriction, J. Fourier Anal. Appl., 17, 1292, 10.1007/s00041-011-9191-4
Lieb, 1972, The finite group velocity of quantum spin systems, Commun. Math. Phys., 28, 251, 10.1007/BF01645779
Manuceau, 1973, The smallest C⁎-algebra for canonical commutation relations, Commun. Math. Phys., 32, 231, 10.1007/BF01645594
Marchioro, 1978, Velocity of a perturbation in infinite lattice systems, J. Stat. Phys., 19, 499, 10.1007/BF01011695
Mielke, 2010, Dispersive stability of infinite dimensional hamiltonian systems on lattices, Appl. Anal., 89, 1493, 10.1080/00036810903517605
Nachtergaele, 2009, Lieb–Robinson bounds for harmonic and anharmonic lattice systems, Commun. Math. Phys., 286, 1073, 10.1007/s00220-008-0630-2
Nachtergaele, 2010, Lieb–Robinson bounds in quantum many-body physics, vol. 529, 141
Raz, 2009, Estimating the Lieb–Robinson velocity for classical anharmonic lattice systems, J. Stat. Phys., 137, 79, 10.1007/s10955-009-9839-5
Schultz, 1998, The wave equation on the lattice in two and three dimensions, Commun. Pure Appl. Math., 51, 663, 10.1002/(SICI)1097-0312(199806)51:6<663::AID-CPA4>3.0.CO;2-5
Varchenko, 1976, Newton polyhedra and estimation of oscillating integrals, Funct. Anal. Appl., 18, 175, 10.1007/BF01075524
