M.I. Weinstein, "Modulation stability of groundstates of non-linear Schrodinger equations "; SIAM J. Math. Annal. 16, 472--490 (1985). Home/Search Document Not in Database Summary Related Articles Check |
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On A Classical Limit Of Quantum Theory And The Non-Linear.. - Fröhlich, Tsai, Yau (2000) (Correct)
....(t) j = 1; k ; 46) On a Classical Limit of Quantum Theory . 14 where the friction force a j (t) satisfies a bound ja j (t)j = o( for jtj T . These ideas are made precise (in the form of mathematical theorems) in [2] using methods partly based on the work of Weinstein [8], for just one soliton in an external potential W ( But the methods in [2] can be extended to general k. Apparently, we have gained insight into how Newtonian point particle mechanics with small friction forces can emerge from the non linear Hartree equation with attractive twobody forces ....
M.I. Weinstein, "Modulation stability of groundstates of non-linear Schrodinger equations "; SIAM J. Math. Annal. 16, 472--490 (1985).
Instability of the Hocking-Stewartson pulse and its.. - Afendikov, Bridges (Correct)
....0:03; 2; 1 integrator is only second order accurate. Reducing the size of x further leads to smaller values for the rst and second derivatives, suggesting convergence to the exact result. When = 2 and = 0, equation (1.4) reduces to the nonlinear Schr odinger equation. According to Weinstein (1985), the eigenvalue = 0 is fourfold. In Kapitula (1998) it was demonstrated that for generic and small enough (j 1 j; j 2 j) for = 2 1 ; 2 the quadruple eigenvalue splits into 1 0; a double eigenvalue 2 = 0 and 3 0. Table 2 suggests the existence of the integer eigenvalue ....
A 145, 428-433. Weinstein, M. 1985 Modulation stability of ground states of nonlinear Schrodinger equation, SIAM J. Math. Anal. 16, 472-491.
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